Math Standards Review 2 (Math Standards Review Binders)

SB2 Binder-Front:SB2 Binder-Front 01/10/08 2:22 PM Page 1 MATH STANDARDS REVIEW 2 Mixed Practice in: • Geometry an...

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MATH STANDARDS REVIEW 2 Mixed Practice in: •

Geometry and Measurement

•

Patterns, Functions, and Algebra

•

Data Analysis and Reasoning

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Three Watson Irvine, CA 92618-2767 www.sdlback.com

Copyright © 2002 by Saddleback Educational Publishing. All rights reserved. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without the permission of the publisher, with the exception below. Pages labeled with the statement ©Saddleback Educational Publishing are intended for reproduction. Saddleback Educational Publishing grants to individual purchasers of this book the right to make sufficient copies of reproducible pages for use by all students of a single teacher. This permission is limited to a single teacher, and does not apply to entire schools or school systems. ISBN-13: 978-1-56254-519-2 ISBN-10: 1-56254-519-1 eBook: 978-1-60291-449-0 Printed in the United States of America 11 10 09 08

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TABLE OF CONTENTS

Unit 1: Customary Measurement Lengths in Inches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6 Customary Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 Customary Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 Customary Units of Weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 Compare Customary Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10 Operations with Customary Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 Unit 2: Metric Measurement Measure Lengths in Metric Units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12 Metric Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .13 Metric Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .14 Metric Units of Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 Compare Metric Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16 Operations with Metric Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17 Unit 3: Geometry Points and Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18 Angles and Angle Measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19 Angle Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20 Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21 Types of Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22 Find Unknown Angle Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23 Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24 Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25 Congruent Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .26 Similar Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27 Similar Figures and Unknown Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28 Line Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29 Coordinate Graphing in the First Quadrant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30 Coordinate Graphing in Four Quadrants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31 Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .32 Transformations and Corresponding Parts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 Transformations and Coordinate Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .34

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Unit 4: Perimeter Perimeters of Squares, Rectangles, and Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .35 Measure Figures, Find Perimeters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36 Perimeter of Regular Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37 Find Perimeters and Missing Sides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38 Circumference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39 Unit 5: Area Areas of Squares and Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40 Areas of Parallelograms, Triangles, and Trapezoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41 Measure Figures, Find Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42 Area of Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43 Area and Perimeter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44 Unit 6: Volume Volume of Cubes and Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .45 Volume of Triangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .46 Measure Figures, Find Areas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47 Volume of Cylinders, Cones, and Spheres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .48 Volume of Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .49 Unit 7: Surface Area Nets of Cubes and Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .50 Surface Area of Cubes and Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51 Surface Area and Volume of Rectangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .52 Surface Area of Triangular Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .53 Surface Area and Volume of Prisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54 Surface Area of Pyramids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55 Surface Area of Cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56 Surface Area of More Cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .57 Surface Area and Volume of Cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .58 Surface Area of Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .59 Unit 8: Probability Liklihood of an Event . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .60 Probability of an Event . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .61 Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .62 Figure the Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .63 Tree Diagrams and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .64 Probability and Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .65

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Unit 9: Data Analysis Range, Mode, Median, Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .66 Interpret Tally Charts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67 Make Tally Charts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .68 Interpret Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .69 Draw Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .70 Interpret Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .71 Draw Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .72 Interpret Stem-and-Leaf Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .73 Draw Stem-and-Leaf Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .74 Draw and Interpret a Frequency Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75 Interpret Single Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .76 Draw Single Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .77 Interpret Multiple Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .78 Draw Multiple Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .79 Interpret Single Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .80 Draw Single Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81 Interpret Multiple Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .82 Draw Multiple Line Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .83 Interpret Circle Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .84 Draw Circle Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .85 Draw Appropriate Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .86 Unit 10: Patterns, Functions, and Algebra Simple Visual Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .86 Simple Numeric Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .87 Write Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .89 Evaluate Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .90 Solve Equations Using Addition of Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91 Solve Equations Using Multiplication of Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .92 Solve Equations by Combining Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .93 Solve Two Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .94 Graph Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .95 Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96

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LENGTHS IN INCHES Name

Date

1 Measure each line segment to the nearest 4 inch.

A 1. 2. 3.

1 Measure each line segment to the nearest 8 inch.

B 4. 5. 6.

1 Measure each line to the nearest 16 inch.

C 7. 8. 9.

D

Draw a line segment for each given length. 1 10. 3 4 in 3 11. 2 8 in 15 12. 1 16 in

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CUSTOMARY UNITS OF LENGTH Name

A

Date

Which unit makes sense for each measurement? Write in, ft, yd, or mi. 1. length of a car is 16

3. length of a pencil is 5

2. width of a football field is 53

4. length of a river is 25

B

Use the relationships among customary units of length to complete each problem. 5. How many feet are in 8 yards?

Remember 1 ft = 12 in 1 yd = 3 ft 1 yd = 36 in 1 mi = 5,280 ft 1 mi = 1,760 yd

1 6. How many yards are in 1 2 miles? 1 7. How many inches are in 5 4 feet? 1 8. How many inches are in 2 3 yards? 9. How many feet are in 5 miles? 1 10. 6 2 yd = 11. 9 in =

yd

mi yd

Compare. Write <, =, or >. 16. 6 ft 17. 72 in 18. 10,000 ft 19. 25 in

D

yd

14. 2,640 ft = 2 15. 3 mi =

ft

12. 10 ft =

C

13. 45 in =

ft

20. 5 ft

3 yd 2 yd 2 mi 2.5 ft

21. 4 ft 22. 90 in 1 23. 2 mi

50 in 1 1 3 yd 1 7 2 ft

24. 1,500 ft

1 4 mi

25. 6 ft 3 in

63 in

26. 3,000 yd

2 mi

1 27. 6 2 ft

1,000 yd

80 in

Write the measurements in order from least to greatest. 1 28. 5 ft, 50 in, 1 2 yd 1 29. 2 mi, 2,000 ft, 800 yd 1 30. 10 mi, 500 ft, 5,000 in, 170 yd

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CUSTOMARY UNITS OF CAPACITY Date

Name

A

Which unit makes sense for each measurement? Write c, pt, qt, or gal. 1. a water bottle holds 1

1 3. a can of soft drink holds 1 2

1 2. a large carton of milk holds 2

4. a bowl of soup holds 2

B

Use the relationships among customary units of capacity to complete each problem. 5. How many cups in 3 pints?

Remember 1 pt = 2 c 1 qt = 2 pt 1 gal = 4 qt

6. How many quarts in 5 gallons? 7. How many pints in 6 quarts? 8. How many cups in 4 quarts? 1 9. How many pints in 3 2 quarts? 1 1 10. 7 2 pt = c 13. 3 4 gal = 11. 1 c =

C

gal

20. 6 pt 1 21. 2 gal

3 pt 3 qt 2 pt

15. 20 qt =

pt

pt

17. 2 qt =

gal

18. 1 gal =

pt

1 22. 2 qt

2c

23. 12 qt

6 gal

24. 12 pt

3 gal

25. 8 gal

2 qt

1 26. 3 2 c 1 27. 5 2 qt

1 qt 10 pt

Write the measurements in order from least to greatest. 28. 3 pt, 2 qt, 7 c 1 29. 2 gal, 3 qt, 5 pt 1 1 30. 10 c, 2 pt, 1 2 qt, 2 gal

8

qt

16. 15 c =

Compare. Write <, =, or >. 19. 5 c

D

14. 5 pt =

pt

12. 10 qt =

qt

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CUSTOMARY UNITS OF WEIGHT Name

A

Date

Which unit makes sense for each measurement? Write oz, lb, or T. 1. a textbook weighs about 2

3. an elephant weighs about 8

2. a box of cereal weighs about 12

4. a house cat weighs about 8

B

Use the relationships among customary units of weight to complete each problem. 5. How many ounces in 10 pounds? Remember 1 lb = 16 oz 1 T = 2,000 lb

6. How many pounds in 3 tons? 1 7. How many ounces in 2 pound? 1 8. How many pounds in 4 ton? 1 9. How many pounds in 6 2 tons? 10. 5 lb =

oz

13. 4 oz =

11. 9 T =

lb

14. 15,000 lb =

1 12. 2 2 lb =

C

3 17. 4 lb = 1 18. 1 4 T =

T

15. 10 oz =

lb

lb oz lb

Compare. Write <, =, or >. 19. 3 lb 1 20. 2 lb 21. 1,600 lb

D

oz

16. 50 oz =

lb

30 oz 10 oz 3 4 T

22. 500 lb 1 23. 5 2 T 24. 2 lb 3 oz

1 4 T 5,500 lb

25. 88 oz

1 5 2 lb

26. 200 lb

0.1 T

27. 1 T

23 oz

2,000 oz

Write the measurements in order from least to greatest. 1 28. 2 T, 500 lb, 4,000 oz

,

,

29. 100 oz, 10 lb, 0.001 T

,

,

1 30. 1 2 T, 1,500 lb, 15,000 oz

,

,

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Math Standards Review 2

9

SB2 Binder-Unit 1:SB2 Binder-Unit 1

01/11/08

11:49 AM

Page 10

COMPARE CUSTOMARY MEASUREMENTS Name

A

Date

Use the relationships among customary units to complete each problem. 1. How many ounces in 5 pounds?

Remember 1 ft = 12 in 1 yd = 3 ft 1 mi = 5,280 ft 1 pt = 2 c 1 qt = 2 pt 1 gal = 4 qt 1 lb = 16 oz 1 T = 2,000 lb

2. How many quarts in 4 gallons? 3. How many inches in 8 feet? 4. How many pounds in 6 tons? 5. How many feet in 3 miles? 6. How many pints in 8 quarts? 7. How many ft in 25 yards? 1 8. 4 2 qt =

pt

9. 42 in =

ft

10. 3 c =

B

C

10

pt

11. 21 ft =

yd

12. 7,000 lb =

T

1 13. 1 2 lb =

oz

3 14. 4 T =

lb

15. 6 qt =

gal

1 16. 4 mi =

ft

Compare. Write <, =, or >. 17. 2 lb

24 oz

21. 2,500 lb

18. 3 yd

12 ft

22. 50 ft

150 yd

1 19. 2 gal

2 qt

23. 12 pt

3 gal

20. 3.5 ft

35 in

24. 7 ft 2 in

2.5 T

25. 600 lb

1 4 T

26. 100 lb

0.05 T

1 1 2 qt 1 28. 2,500 ft 2 mi 27. 3 c

72 in

Write the measurements in order from least to greatest. 29. 0.5 mi, 150 yd, 1,500 ft

,

,

30. 0.5 T, 150 lb, 1,500 oz

,

,

31. 5 gal, 15 qt, 50 pt

,

,

Math Standards Review 2

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SB2 Binder-Unit 1:SB2 Binder-Unit 1

01/11/08

11:49 AM

Page 11

OPERATIONS WITH CUSTOMARY MEASUREMENTS Name

Date

Rewrite in vertical form and add. Simplify the answer.

A

1. 3 yd 2 ft + 6 yd 2 ft

Remember When you add or subtract units of measure, line up the like units.

3. 2 yd 7 in. + 4 ft 8 in.

5. 3 qt 1 pt + 2 qt 3 pt

4. 2 gal 1 qt + 3 qt

6. 8 lb 12 oz + 3 lb 8 oz

3 yd 2 ft + 6 yd 2 ft 9 yd 4 ft = 10 yd

ft

2. 4 ft 6 in. + 3 ft 10 in.

B

Rewrite in vertical form and subtract. Simplify the answer. 7. 5 lb 3 oz – 2 lb 10 oz

Remember You may have to rename some units before you subtract.

9. 8 yd 1 ft – 3 yd 2 ft

11. 5 yd 6 in. – 2 yd 1 ft 4 in.

19 4 5 lb 3 oz - 2 lb 10 oz 2 lb oz

8. 2 gal 1 qt – 3 qt

C

10. 8 T – 3 T 400 lb

Rewrite in vertical form and multiply. Simplify the answer. 13. 3 x (3 yd 5 in.) 3 yd 5 in. x 3 9 yd 15 in =

D

Remember Multiply each part of the measurement by the number.

14. 3 x (4 lb 10 oz)

yd

15. 5 x (2 gal 3 qt 1 pt)

in.

Divide. Simplify to whole-number answers. 16. (15 lb 10 oz) ÷ 5

12. 7 gal – 3 qt 1 pt

Remember Divide each part of the measurement by the number.

17. (5 yd 6 in.) ÷ 3

18. (3 gal 6 qt) ÷ 4

5yd 6in. = 3yd 6 ft 6in. = 3 3 1 yd ft in. ©Saddleback Educational Publishing • 888-SDLBACK

Math Standards Review 2

11

SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 12

MEASURE LENGTHS IN METRIC UNITS Name

A

Date

Measure each line segment to the nearest mm. Then write it in cm.

1.

mm

cm

2.

mm

cm

3.

mm

cm

4.

mm

cm

5.

mm

cm

6.

mm

cm

7.

mm

cm

8.

mm

cm

B

Draw a line segment for each given length. 9. 8 cm

10. 50 mm

11. 7.3 cm

12. 88 mm

12

Math Standards Review 2

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SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 13

METRIC UNITS OF LENGTH Name

A

Date

Which unit makes sense for each measurement? Write mm, cm, m, or km.

1. length of a soccer field is 110

3. width of a pencil is 7

2. height of a table is 85

4. length of a river is 98

B

Use the relationships among metric units of length to complete each problem. 5. How many mm in 28 cm?

Remember 1 cm = 10 mm 1 m = 100 cm 1 m = 1,000 mm 1 km = 1,000 m

6. How many cm in 5.5 m? 7. How many m in 3 km? 8. How many mm in 2 m? 9. How many cm in 37 m? 10. 4,000 m =

km

13. 381 mm =

16. 0.7 m =

cm

mm

11. 1.5 km =

m

14. 0.6 m =

cm

17. 250 cm =

m

12. 3.2 cm =

mm

15. 55 cm =

m

18. 0.08 km =

m

C

Compare. Write <, =, or >. 19. 9 cm

900 mm

22. 3 km

20. 35 m

3.5 cm

23. 400 mm

21. 0.03 m

D

3 cm

24. 81 m

25. 304 cm

300 m

3.04 m

0.4 m

26. 73 m

730 cm

0.81 km

27. 0.9 m

90 cm

Write the measurements in order from least to greatest.

28. 9 mm, 9 m, 9 cm

,

,

29. 800 m, 80 cm, 0.08 km

,

,

30. 400 m, 4,000 cm, 0.004 km

,

,

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Math Standards Review 2

13

SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 14

METRIC UNITS OF CAPACITY Date

Name

A

Which unit makes sense for each measurement? Write mL, or L.

1. a large soft drink bottle holds 2

3. a glass of juice is about 200

2. a full eyedropper holds about 10

4. a bath tub of water holds about 200

B

Use the relationships among metric units of capacity to complete each problem. 5. How many mL in 5 L? Remember 1 L = 1,000 mL

6. How many mL in 3.8 L? 7. How many L in 4,000 mL? 8. How many mL in 0.6 L? 9. How many L in 7,500 mL? 10. 3,000 mL =

L

11. 700 mL =

L

12. 2.9 L =

C

mL

16. 325 mL =

L

14. 50 mL =

L

17. 1.05 L =

mL

18. 0.06 L =

mL

15. 200 mL =

L

Compare. Write <, =, or >. 19. 6 mL 20. 300 mL 21. 0.4 L

D

14

mL

13. 0.8 L =

6L 3L 400 mL

22. 2,000

2L

25. 60 mL

0.6 L

23. 0.7 L

70 mL

26. 4.5 L

45 mL

27. 0.1 L

100 mL

24. 3,500 mL

35 L

Write the measurements in order from least to greatest.

1 28. 2 L, 200 mL, 0.02 L

,

,

3 29. 7,000 mL, 7.5 L, 4 L

,

,

30. 0.3 L, 30 mL, 3.0 mL

,

,

Math Standards Review 2

,

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SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 15

METRIC UNITS OF MASS Name

A

Date

Which unit makes sense for each measurement? Write mg, g, or kg.

1. a house cat has a mass of 4

3. an aspirin has a mass of about 300

2. a small paper clip has a mass of 1

4. a boy has a mass of about 30

B

Use the relationships among metric units of mass to complete each problem. 5. How many g in 8 kg?

Remember 1 g = 1,000 mg 1 kg = 1,000 g 1 t = 1,000 kg

6. How many mg in 5 g? 7. How many g in 4,000 mg? 8. How many kg in 7,500 g? 9. How many kg in 3 t? 10. 7,000 mg =

g

11. 9 kg = 9,000 12. 5 t =

C

kg

13. 0.38 g =

mg

16. 8.3 kg = 8,300

14. 600 g =

kg

17. 0.05 g =

mg

15. 400 g = 0.4

18. 0.006 kg = 6

22. 1 g

25. 0.02 kg

Compare. Write <, =, or >. 19. 3,000 mg

3g

0.001 kg

20. 8.1 kg

810 g

23. 2.5 t

2,500 g

21. 450 g

0.45 mg

24. 0.7 kg

70 g

D

26. 53 mg 27. 5 g

20 g 5.3 g 0.005 kg

Write the measurements in order from least to greatest.

28. 0.07 kg, 700 g, 7,000 mg

,

,

29. 0.5 t, 5 kg, 500 g

,

,

30. 30 kg, 300 g, 3,000 mg

,

,

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Math Standards Review 2

15

SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 16

COMPARE METRIC MEASUREMENTS Name

A

Date

Use the relationships among metric units to complete each problem. 1. How many mL in 8 L?

Remember 1 cm = 10 mm 1 m = 100 cm 1 km = 1,000 m 1 L = 1,000 mL 1 g = 1,000 mg 1 kg = 1,000 g 1 t = 1,000 kg

2. How many cm in 8 m? 3. How many mg in 0.8 g? 4. How many mm in 8 cm? 5. How many kg in 8 t? 6. How many cm in 800 mm? 7. How many g in 0.08 kg? 8. 6,000 m =

km

9. 3 kg =

g

10. 1.9 km = 1,900

B

17. 3 g

0.003 kg

18. 3 m

300 cm

20. 8 mL

16

mL

12. 0.6 cm =

mm

14. 93 cm =

mm

15. 0.07 L =

mL

13. 0.8 g = 800

16. 0.01 L = 10

21. 1.5 t

25. 400 m

Compare. Write <, =, or >.

19. 300 mL

C

11. 3 L =

3L 8L

22. 7.8 cm

1,500 g 78 mm

0.04 km

26. 500 g

0.5 kg 450 mL

23. 0.4 m

40 cm

27. 4.5 L

24. 0.2 kg

20 g

28. 800 mm

8 cm

Write the measurements in order from least to greatest. 1 29. 2 L, 0.005 L, 50 mL

,

,

30. 5 km, 50 m, 500 cm, 5,500 mm

,

,

,

31. 0.2 t, 20 kg, 2,000 g, 20,000 mg

,

,

,

Math Standards Review 2

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SB2 Binder-Unit 2:SB2 Binder-Unit 2

01/10/08

2:24 PM

Page 17

OPERATIONS WITH METRIC MEASUREMENTS Name

A

Date

Rewrite in vertical form and add. Simplify the answer using one unit.

1. 3 m 62 cm + 2 m 70 cm 3m +2 m 5m =6m = 6.

3. 7 km 800 m + 2.5 km

5. 6 kg 850 g + 3 kg 275 g

4. 4 L 600 mL + 0.5 L

6. 7 m + 75 cm + 250 mm

62 cm or 3.62 m + 2.70 m 70 cm 132 cm 6.32 m cm m

2. 12 cm 8 mm + 15 mm

B

Remember When you add or subtract units of measure, line up the like units.

Rewrite in vertical form and subtract. Simplify the answer using one unit. 7. 8 m 43 cm – 2 m 87 cm

Remember You may have to rename some units before you subtract.

10. 5 kg 155 g – 2 kg 300 g

13. 6.5 km – 200 m

8. 23 cm 4 mm – 10 cm 7 mm

11. 8.5 L – 80 mL

14. 0.6 L – 50 mL

9. 5.3 km – 1,800 m

12. 3 m 25 cm – 80 cm

15. 0.75 kg – 80 g

7

143

7 14

8 m 43 cm - 2 m 87 cm 5m

cm

or

8.43 m

- 2.87 m 5.56 m

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Math Standards Review 2

17

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 18

POINTS AND LINES Name

Date

Look at the figure at the right. Write the geometric term for each written symbol. Use each term only once from the list below.

A 1. BD

Perpendicular lines intersect at right angles.

2. G C

3. CG and AD A

4. CG and BF

B

E

5. BF and CE

Remember Parallel lines are in the same plane and never meet.

D

F G

6. BD 7. BD Geometric Terms line

B

point

ray

line segment

intersecting lines

parallel lines

perpendicular lines

Draw and label a geometric figure for each symbol in the space at the right. 8. AB

9. CD

10. EF

11. G

18

12. HI

JK

13. LM

PQ

Math Standards Review 2

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 19

ANGLES AND ANGLE MEASURE Date

Name

A

Write the name for each angle. You can use one word more than once. 1.

4.

Types of Angles acute obtuse

2.

right

5.

straight

3.

B

6.

Use a protractor to measure each angle. Write the number of degrees. 7.

10.

13.

8.

11.

14.

9.

12.

15.

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Math Standards Review 2

19

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 20

ANGLE PAIRS Date

Name

Remember Complementary angles: 90° sum

Write complementary or supplementary to indicate the type of angle pairs.

A

Supplementary angles: 180° sum 1.

2.

3. 50∞

65∞

70∞

120∞

40∞

25∞

B

Find and write the complement or supplement in degrees. 4.

5.

6. 32∞

111∞

27∞

C

20

Measure each angle with a protractor. Write the angle measure in the appropriate angle. 7.

10.

8.

11.

9.

12.

Math Standards Review 2

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 21

CIRCLES Name

A

Date

Indicate the parts of the circle using symbols. 1.

center

2.

diameter

3.

chord

,

4.

radius

,

5.

arc

6.

central angle

B

,

D A

, ,

C

,

Write the name of the part of the circle for each written symbol. Use the words listed in Part A above. Use each word only once.

B

7. RT 8. RT

R T

9. QS 10.

RQS

11. Q

Q S P

12. RP

C

Draw and label the parts of the circle with the letters indicated. 13. circle T 14. diameter WX 15. radius TV 16. chord WV 17. acute central angle WTV 18. arc VX

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Math Standards Review 2

21

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 22

TYPES OF TRIANGLES Name

A

Date

Classify triangles by sides. Write the word equilateral, isosceles, or scalene. 1.

2.

3.

4.

2.7 cm 2 cm

2 cm 2 cm 3 cm

2 cm

B

Classify the triangles by angles. Write the word right, acute, or obtuse. 5.

C

22

6.

7.

8.

Classify the triangles by sides and angles. Write two words to describe each triangle. 9.

11.

13.

15.

10.

12.

14.

16.

Math Standards Review 2

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 23

FIND UNKNOWN ANGLE MEASURES Name

A

Date

Find the unknown angle measures for each triangle. 3.

1.

Remember The sum of all the angles of a triangle is 180 degrees.

5.

62∞ 38∞ 70∞

2.

4. 54∞

6. 35∞ 110∞

B

Find the measure of the third angle of these triangles. Then classify the type of triangle by writing two words from the list below. Finally, use a protractor and straightedge to draw and label each triangle in the space provided. acute 7. 45, 45,

equilateral

isosceles

8. 80, 60,

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obtuse

right

Scalene

9. 30, 60,

Math Standards Review 2

23

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 24

PYTHAGOREAN THEOREM Name

Date

Complete each problem to find the length of the third side of each triangle. Write the length on the answer blank. ◆ You may use a calculator.

A

(6 x

6 ft. 8 ft.

24

c a b

2.

1.

B

Remember a2 + b2 = c2

) + (8 x +

) = c2 = c2 = c2 =c

25 m 15 m

(15 x

) + b2 = (25 x ) + b2 = b2 = b2 = b=

Find the length of the third side of the triangle. Round your answer to the nearest tenth. Then draw and label a sketch of the triangle. 3.

a = 8 m, b = 10 m, c =

6.

a = 9 cm, c = 15 cm, b =

4.

a = 10 in, b = 2 ft, c =

7.

b = 40 mm, c = 50 mm, a =

5.

a = 9 yd, b = 10 yd, c =

8.

c = 52 in, b = 4 ft, a =

Math Standards Review 2

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 25

QUADRILATERALS Name

A

Date

Write the best name for each quadrilateral. Use each word in the box only once. 3.

1.

2.

B

4.

5.

Quadrilaterals parallelogram quadrilateral rectangle rhombus square trapezoid

6.

Complete the chart. Write a check mark (✓) in the boxes for the characteristics that are true about the figure. Leave the other boxes blank.

Quadrilateral

All right angles

All sides the same length

2 pairs of parallel sides

1 pair of parallel sides

7. parallelogram 8. 9. 10. 11.

C

rectangle rhombus square trapezoid Write a definition in terms of sides and angles for each figure. Then draw and label a sketch for each figure. Use the information in Parts A and B to help you.

12. A parallelogram

13. A square

14. A rectangle

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Math Standards Review 2

25

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 26

CONGRUENT FIGURES Name

Date

Write congruent or not congruent to indicate whether each pair of figures is congruent or not.

A 1.

2.

Remember Congruent figures have the same size and shape.

3. 9 cm

85∞

90 mm

Look at each pair of congruent figures. Name the angles and sides that correspond to each other.

B 4.

D

E

Remember The symbol = ~ means is congruent to.

5.

C

I

A

R

P

N

R

K

A

S

T

B

a.

ED = ~

a.

PK = ~

b.

AC = ~

b.

IN = ~

c.

B = ~

c.

P = ~

d.

CAB = ~

d.

INK = ~

e.

RED = ~

e.

figure PINK = ~

C

Use the clues to draw and label two congruent triangles with corresponding parts. 6.

m

B = 90° B = ~

E

m(BC) = 2 in. BC = ~ ED m(FE) = 1 in. AB = ~ FE

26

Math Standards Review 2

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 27

SIMILAR FIGURES Name

Date

Write similar or not similar to indicate whether each pair of figures is similar or not.

A 1.

2.

3. 2m

3 in

3 cm

3 in

4m

4m

Remember Similar figures have the same shape. Their corresponding sides are proportional when all sides have the same ratio to each other.

8m

5 in 1 in

7 cm

Look at each pair of similar figures. Name the angles and sides that correspond to each other.

B 4.

E

4m

5.

N

A

S

14 mm

6 mm

Remember The symbol ~ means is similar to.

P

T 10 mm E

5m

L 70 mm

10 m

O

G

6m

30 mm 20 mm

C

N

T

a.

C = ~

a.

L = ~

b.

CTA = ~ ______

b.

PET = ~

c.

The simplest ratio of CT to NE is

d.

CT ~

e. f.

C

8m

The length of ON is

c.

.

d. .

▲ ACT ~

50 mm

O

The simplest ratio of ST to LO is The length of PE is

e.

LG ~

f.

figure LONG ~

.

.

Read each sentence. Write true or false, and then explain or draw an example. Use an extra sheet of paper, if needed. 6. All squares are similar. 7. All rectangles are similar. 8. All equilateral triangles are similar. 9. All isosceles right triangles are similar.

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, , , ,

Math Standards Review 2

27

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 28

SIMILAR FIGURES AND UNKNOWN MEASURES Name

A

Date

Write the ratio of similarity for corresponding sides of each pair of figures. Compare the smaller figure to the larger one. If the ratios are not the same for all pairs of corresponding sides, write not similar. Remember In similar triangles, corresponding sides are proportional. The ratio of similarity for corresponding pairs of sides is the same.

3.

1. 5m

3m 9m

6m

2 in.

15 m

3 in.

4 in. 18 m

5 in.

2.

5.

4.

9 mm

10 cm 24 cm

3 yd 4 yd

15 mm

16 cm 15 cm

8 yd

20 mm

1.5 yd

12 mm

B

Determine the ratio. Then find the measure of the unknown side. Show your work. 6. ratio:

; side:

8. ratio:

10. ratio:

; side:

12 cm

10 in

5 in 7 in

; side: 3 cm 9 cm

10 in 2.5 cm

36 cm

9 in

30 cm

4 in

18 in

10 cm

6 in

7. ratio:

; side:

9. ratio:

; side: 39 ft

11. ratio:

; side:

6 yd

15 ft 15 m

24 m

10 ft 8m

28

Math Standards Review 2

26 ft

2.4 yd 3.2 yd

24 ft

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 29

LINE SYMMETRY Name

A

Write yes or no to tell whether the dashed line in the figure is a line of symmetry.

Remember A symmetric figure can be folded along a line so that its two halves match exactly. The line is a line of symmetry.

1.

3.

5.

2.

4.

6.

B

C

Date

Draw as many lines of symmetry as possible for each figure. 7.

9.

11.

8.

10.

12.

Look at the capital letters. Draw all possible lines of symmetry on each letter.

A N

B C D E F G O P Q R S T

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H I J K L M U V W X Y Z Math Standards Review 2

29

SB2 Binder-Unit 3:SB2 Binder-Unit 3

01/11/08

11:48 AM

Page 30

COORDINATE GRAPHING IN THE FIRST QUADRANT Name

A

Date

Remember An ordered pair is written in (x, y) form.

Write the coordinates of each point as an ordered pair. y

10 L

9 8

1.

A ___________

8.

H ___________

2.

B ___________

9.

J ___________

3.

C ___________

10.

K ___________

4.

D ___________

11.

L ___________

5.

E ___________

12.

M ___________

6.

F ___________

7.

G ___________

K

7 G

6 C

5

F

4 J

3

A B

2

H

1 E

0 0

B

D 1

2

3

4

5

M 6

7

8

x 9

10

Use the grid to locate the points for each problem. Connect the points in order including the first and last points. Then write the name of the polygon formed by the points. 13. (10, 8), (7, 8), (7, 5), (10, 5) y 10

14. (4, 0), (4, 5), (0, 5), (0, 0)

9 8 7

15. (0, 9), (3, 10), (3, 6), (0, 7)

6 5 4 3

16. (5, 0), (9, 3), (9, 0)

2 1 x

0 0

30

Math Standards Review 2

1

2

3

4

5

6

7

8

9

10

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SB2 Binder-Unit 3:SB2 Binder-Unit 3

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11:48 AM

Page 31

COORDINATE GRAPHING IN FOUR QUADRANTS Name

A

Date

Remember An ordered pair is written in (x, y) form.

Write the coordinates of each point as an ordered pair. y 5 4 C

K

H

3

L

2

A

1 G

F -5

-4 D

-3

-2

-1 J

1

2

3

-1

4

x 5

1.

A ___________

8.

H ___________

2.

B ___________

9.

J ___________

3.

C ___________

10.

K ___________

4.

D ___________

11.

L ___________

5.

E ___________

12.

M ___________

6.

F ___________

7.

G ___________

B

-2 -3 -4

E

M

-5

B

Use the grid to locate the points for each problem. Connect the points in order including the first and last points. Then write the name of the polygon formed by the points. 13. (4, 4), (2, 5), (-1, 5), (-2, 4) y 5 4

14. (-1, 2), (5, 2), (5, -1), (-1, -1)

3 2 1

15. (-5, 4), (-3, 3), (-3, -3)

x -5

-4

-3

-2

-1

1

2

3

4

5

-1 -2

16. (-1, -2), (2, -2), (3, -3), (2, -4), (-1, -4), (-2, -3)

-3 -4 -5

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TRANSFORMATIONS Name

A

Date

On a sheet of graph paper, draw and label the resulting figure for each problem to show the suggested translation. 1. Figure A: slide up Remember translation ➔ slide 2. Figure B: slide right reflection ➔ flip 3. Figure C: slide left rotation ➔ turn 4. Figure D: slide right and down On a sheet of graph paper, draw and label the resulting figure for each problem to show the suggested reflection.

B

5. Figure A: flip right along one side 6. Figure B: flip up along one side 7. Figure C: flip down along one side 8. Figure D: flip left along one side

C

L

On a sheet of graph paper, draw and label the resulting figure for each problem to show the suggested rotation around a point. 9. Figure A: turn 180° counterclockwise 10. Figure B: turn 270° clockwise 11. Figure C: turn 90° counterclockwise 12. Figure D: turn 45° clockwise

D

On a sheet of graph paper, draw and label the resulting figure for each problem. 13. Figure A: flip up along one side 14. Figure B: slide right, then turn 90˚ clockwise 15. Figure C: flip down, then turn slide left 16. Figure D: slide left, then flip up along one side

32

Math Standards Review 2

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Page 33

TRANSFORMATIONS AND CORRESPONDING PARTS Name

A

Date

Complete each problem. Write slide, flip, or turn in the blanks for part b. 1.

E

M

H

O

Remember The symbol ↔ means corresponds to.

a. Label the resulting figure CARD to show sides and angles corresponding to figure HOME. b. Figure CARD is the result after a

to the right and then a

90° clockwise.

c. EM ↔ ______ O ↔ ______

d.

Draw and label the resulting figure to show the suggested translation. Then complete the problems.

B 2.

A

C

B

a. Slide figure to the right and then flip it down along its long leg. Label the resulting figure so that ▲ ABC ↔ ▲ DEF. b. BC ↔ ______ c.

C ↔ ______

d.

ACB ↔ ______

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Math Standards Review 2

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Page 34

TRANSFORMATIONS AND COORDINATE GRAPHING Name

A

Date

Write translation, reflection, or rotation for the move that was made to get resulting figures A, B, and C. The write the corresponding coordinates of each resulting figure to the original figure. 1. The original figure is at

y

Remember translation ↔ slide reflection ↔ flip rotation ↔ turn

5

______ , ______ , ______ , ______

B

4 3 A

2. Figure A: ____________________

2 1

______ , ______ , ______ , ______

C x

-5

-4

-3

-2

-1

1

2

3

4

5

3. Figure B: ____________________

-1 -2

______ , ______ , ______ , ______

-3

4. Figure C: ____________________

-4 -5

______ , ______ , ______ , ______

B

Draw and label the resulting figure after each move for each problem. Then write the corresponding coordinates of the resulting figure to the original figure. 5. The original figure is at

y 5

______ , ______ , ______

4

6. Figure A: slide 3 left and 6 down

3 2

______ , ______ , ______

1 x -5

-4

-3

-2

-1

1

2

3

4

5

7. Figure B: flip over the x-axis

-1 -2 -3 -4 -5

34

Math Standards Review 2

______ , ______ , ______ 8. Figure C: rotate 90° clockwise around point ______ , ______ , ______

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10:15 AM

Page 35

PERIMETERS OF SQUARES, RECTANGLES, AND TRIANGLES Name

Remember The perimeter is the distance around a figure. It can always be found by adding the lengths of all the sides of the shape.

Date

Square

Rectangle

Triangle

P = 4s

P = 2l + 2w

P=a+b+c

= 4 x 9 = 36 cm

= (2 x 7) + (2 x 4)

=4+6+6

= 14 + 8 = 22 in

= 16 cm

Complete each problem to find the perimeter of each figure. Write the answer in appropriate units.

A 1.

B

2.

3.

P = a + b + _____

P = 2 _____ + 2 _____

P = 4 _____

= ____ + ____ + ____

= (2 x ____) + (2 x ____)

= _____ x _____

= ________________

= ________________

= ________________

Find the perimeter of each figure. Show your work. Write the answer in appropriate units. 4.

6.

P = ________________ 5.

8.

P = ________________ 7.

P = ________________ ©Saddleback Educational Publishing • 888-SDLBACK

P = ________________ 9.

P = ________________

P = ________________ Math Standards Review 2

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MEASURE FIGURES, FIND PERIMETERS Date

Name

Measure and label each side of the figure to the nearest millimeter (mm). Then find the perimeter. Show your work.

A 1.

2.

P = ________________

P = ________________

P = ________________

Measure and label each side of the figure to the nearest tenth of a centimeter (cm). Then find the perimeter. Show your work.

B 4.

5.

P = ________________

6.

P = ________________

P = ________________

Measure and label each figure to the nearest 1/8 inch (in.). Then find the perimeter. Show your work.

C 7.

8.

P = ________________

36

3.

Math Standards Review 2

9.

P = ________________

P = ________________

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Page 37

PERIMETER OF REGULAR POLYGONS Date

Name

Remember

Equilateral Triangle

Square

Regular Polygon

All the sides and all the angles are congruent in a regular polygon. P = 3s

P = 4s

= 3 x 4 = 12 in

P = ns

= 4 x 5 = 20 cm

= 3 x 6 = 18 cm

Complete each problem to find the perimeter of each figure. Write the answer in appropriate units.

A 1.

B

2.

3.

P = _____ s

P = _____ s

P = _____ s

= ____ x ____

= ____ x ____

= ____ x ____

= __________ ______

= __________ ______

= __________ ______

Find the perimeter of each figure. Show your work. Write the answer in appropriate units.

4.

6.

P = ________________ 5.

8.

P = ________________ 7.

P = ________________ ©Saddleback Educational Publishing • 888-SDLBACK

P = ________________ 9.

P = ________________

P = ________________ Math Standards Review 2

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Page 38

FIND PERIMETERS AND MISSING SIDES Name

A

Date

Find the perimeter. Show your work. Write the answer in appropriate units. 1.

P = ________________ 2.

P = ________________ 4. A regular pentagon has sides of 7 cm. What is its perimeter?

P = ________________

P = ________________

P = ________________ 6. A width of a rectangle is 9 ft. The length is three times as long as the width. What is its perimeter? P = ________________

Find the length of the missing side. Show your work. Write the answer in appropriate units.

B 7.

11. The perimeter of a rectangle is 60 ft. Its width is 12 ft, what is its length?

9.

w = ________________ 8.

s = ________________ 10. The perimeter of an equilateral triangle is 24 cm. What is the length of each side?

s = ________________

38

5. The shortest side of an isosceles triangle is 15 in. Each of the other sides is 21 in. What is its perimeter?

3.

Math Standards Review 2

s = ________________

l = ________________ 12. The perimeter of a regular hexagon is 30 m. What is the length of each side?

s = ________________

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Page 39

CIRCUMFERENCE Name

A

Date

Complete the problem to find the circumference of each circle. Write the answer in the appropriate units. ❍ Use = 3.14. (Depending on the numbers in the problem, you may also use = 3 1/7 or 22/7.) 1.

2.

3.

C = 3.14 x _____

C = ____ x ____ x ____

C = _____ x _____

= ________________

= ________________

= ________________

Find the circumference of each circle. Show your work. Write the answer in the appropriate units.

B 4.

5.

C = ________________

C

Remember The circumference is the distance around a circle. Circumference = pi x diameter C = d or C = 2 r

6.

C = ________________

C = ________________

Draw and label a sketch of each circle. Then solve the problem. 7. The diameter of a can is 3 in. What is its circumference?

8. The radius of a round swimming pool is 7 ft. What is its circumference?

C = ________________

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C = ________________

9. The circumference of an area rug is 12.56 ft. What is its diameter?

C = ________________

Math Standards Review 2

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Page 40

AREA OF SQUARES AND RECTANGLES Name

Date

Remember

Rectangle

Square

Area is the number of square units needed to cover a figure. Area is always expressed in square units.

7m

Area = length x width

Area = side x side 9 ft

A = s2

8m

A = lw

= 9 x 9 = 81 sq ft or 81 ft2

= 8 x 7 = 56 m2

Write the area formula for each figure. Complete the problem to find the area. Write the answer in appropriate units.

A 1.

2.

3. 11 cm

5 in

12 ft 20 ft

2 in

A = _____

A = _____

B

A = _____

= _____ x _____

= _____ x _____

= _____ x _____

= ________________

= ________________

= ________________

Find the area of each figure. Show your work. Write the answer in appropriate units. 3m

4.

5.

6. 30 cm

8 in

55 cm

10 m

A = ________________

C

A = ________________

Find the area of each figure. Show your work. Write the answer in appropriate units. 7. Find the area of a rectangle that has a width of 8 ft and a length twice as long.

A = ________________

40

A = ________________

Math Standards Review 2

8. Find the length of the side of a square whose area is 49 sq yd.

A = ________________

9. Find the width of a rectangle whose area is 80 m2 and its length is 2 m longer than the width.

A = ________________

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Page 41

AREA OF PARALLELOGRAMS, TRIANGLES, AND TRAPEZOIDS Date

Name

Area of Parallelogram

Area of Trapezoid

Area of Triangle

6 in 6 cm

7 cm

4 in

4 ft

8 in Area = 1 2 x height (base 1 + base 2) 1 A = 2 h(b1 + b2) 1 = 2 x 4 x (6 + 8) = 28 sq in

12 ft

10 cm

Area = base x height A = bh = 10 x 6 = 60 cm2

1 Area = 2 x base x height 1 A = 2 bh 1 = 2 x 12 x 4 = 24 sq ft

Write the area formula for each figure. Complete the problem to find the area. Write the answer in appropriate units.

A 1.

2.

10 cm

12 in

8 ft

6 cm

12 ft

14 in

20 in

8 cm

A = _____

B

3.

A = _____

A = _____

= ____ x ____ x ____

= ___ x ___ (__ + __)

= _____ x _____

= ________________

= ________________

= ________________

Find the area of each figure. Show your work. Write the answer in appropriate units. 14 m

4.

10 in

6.

8. 7m

5 in

8m

9m

12 in

A = ________________ 5.

A = ________________ 7.

20 cm

7.5 cm 10 in

A = ________________ 9.

5m 4m 9m

6 in

A = ________________ ©Saddleback Educational Publishing • 888-SDLBACK

A = ________________

A = ________________ Math Standards Review 2

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Page 42

MEASURE FIGURES, FIND AREAS Date

Name

Measure and label each figure to the nearest centimeter (cm). Then find the area. Show your work.

A 1.

2.

A=

4.

A=

A=

5.

A=

42

3.

Math Standards Review 2

A=

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Page 43

AREA OF CIRCLES Name

Date

Complete the problem to find the area of each circle. Write the

A

answer in appropriate units. ❍ Use

= 3.14. (Depending on 1 22 the numbers in the problem, you may also use =3 7 or 7 .)

1.

2.

Remember The radius is half of the diameter. Area = pi x radius x radius A = r2

3. 7 ft

3 in

B

10 cm

A = ____ x ____ x ____

A = ____ x ____ x ____

A = ____ x ____ x ____

= ________________

= ________________

= ________________

Find the area of each circle. Show your work. Write the answer in appropriate units.

4.

5.

6. 4 in

5m

3 in

20mm 5 in

A=

©Saddleback Educational Publishing • 888-SDLBACK

A=

A=

Math Standards Review 2

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Page 44

AREA AND PERIMETER Name

A

Date

Find the perimeter of each figure. Show your work. Write the answer in appropriate units. 1.

2.

3.

30 cm

13 m

45 cm

9 in

P = ________________

B

10 m

P = ________________

P = ________________

Find the area of each figure. Show your work. Write the answer in appropriate units. 4.

5.

6 cm

6. 20 yd

5 cm

4 cm

10 yd

16 m

8 yd

10 cm

A = ________________

A = ________________

Find the area and perimeter of each figure. Show your work. Write the answers in appropriate units.

C 7.

8.

9. 15 cm

50 ft

35 ft

44

A = ________________

9 cm 12 cm

60 ft

P = ________________

P = ________________

P = ________________

A = ________________

A = ________________

A = ________________

Math Standards Review 2

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Page 45

VOLUME OF CUBES AND RECTANGULAR PRISMS Name

Date

Remember

Volume of a Cube

Volume of a Rectangular Prism

Volume is the space inside a 3-dimensional figure. Volume is expressed in cubic units.

2 in

V = edge x edge x edge

3 in 10 in

V = e3

V = length x width x height

=4x4x4 = 64 cm3

V = lwh = 10 x 3 x 2 = 60 in3

4 cm

Complete each problem to find the volume of each figure. Write the answer in appropriate units.

A 1.

2.

3. 3 in

4 ft

8 in 2 ft

3 ft

4 cm

5 ft

B

V = ____ x ____ x ____

V = ____ x ____ x ____

V = ____ x ____ x ____

= ________________

= ________________

= ________________

Find the volume of each figure. Show your work. Write the answer in appropriate units.

4.

5.

6. 24 in

10 cm

5 ft

8 cm

9 in

2 yd

20 cm

V = ________________

C

V = ________________

V = ________________

Complete the chart to find the volume or unknown dimension. Write the answer in appropriate units. Write cube or rectangular prism for type of figure. length 7. 6.2 m 1

width 3.5 m

8m

1

2 2 ft

8. 2 2 ft

2 2 ft

9. 7 cm

7 cm

10. 1 yd

height

Volume

Type of Figure

1

147 cm3 36 in

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27 cu ft

Math Standards Review 2

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Page 46

VOLUME OF TRIANGULAR PRISMS Date

Name

Area of Parallelogram In a triangular prism, the faces are rectangles and the bases are triangles. The volume of any prism is the base area times its height, or V = Bh.

Volume = base area x height 1 V = ( 2 bh1)h2 1 = ( 2 x 8 x 4) x 10

4m 10 m 8m

= 16 x 10 = 160 m3

Complete each problem to find the volume of each figure. Write the answer in appropriate units.

A 1.

2.

3.

4 ft 2 ft 5 ft

6 in

8 cm

1 ft

12 cm 3 in

10 cm

B

V = (__ x __ x __) x __

V = (__ x __ x __) x __

V = (__ x __ x __) x __

= ________________

= ________________

= ________________

Find the volume of each figure. Show your work. Write the answer in appropriate units. 4 yd

4.

5.

6.

3 yd

1 ft 2 ft

8 yd

6 in

9m

3m 2m

V = ________________

C

V = ________________

V = ________________

Find the volume of this building. Show your work. 7.

Volume of top part: ___________ Volume of bottom part: ___________ 3 ft

9 ft

Volume of building: ___________

14 ft 10 ft

46

Math Standards Review 2

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Page 47

MEASURE FIGURES, FIND AREAS Date

Name

1 Volume = 3 x base area x height 1 V = 3 x (l x w) x h 1 = 3 x (6 x 6) x 10 1 = 3 x 36 x 10

Area of Pyramid

1 The volume of a pyramid is 3 the base area times its height, 1 or V = 3 Bh. If the base is a … 1 square or rectangle: V = 3 (lw)h 1 1 triangle: V = 3 ( 2 bh1)h

10 in

6 in

6 in

This base is a square.

= 12 x 10 = 120 cu in

Complete each problem to find the volume of each figure. Write the answer in appropriate units.

A

2.

1.

3. 15 m

9 ft

12 cm

8 7 cm

10 cm

B

m

6m 10 m

5 ft

1 V = 3 x (__ x __) x __

1 V = 3 x (__ x __) x __

= ________________

= ________________

1 V = 3 x (__ x __ x __) x __ = ________________

Find the volume of each figure. Show your work. Write the answer in appropriate units. 4.

5.

6. 15 in

3m 2m

5m

12 yd

5.1 m 1 ft

4 in

4 yd

V = ________________

C

V = ________________

V = ________________

Find the volume of each figure. Show your work. 7.

Area of each base: ________________ 5 ft

5 ft

4 ft

Height of each figure: ________________ 3 ft

4 ft

3 ft

How do the volumes compare? ________________________________

V = ________________ V = ________________ ©Saddleback Educational Publishing • 888-SDLBACK

Math Standards Review 2

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Page 48

VOLUME OF CYLINDERS, CONES, AND SPHERES Name

Date

Volume of a Cylinder

5 in

Volume of a Cone 12 cm

10 in

V = base area x height V = ( r2)h = (3.14 x 5 x 5) x 10 = 78.5 x 10

= 785 cu in

1 V = 3 x base area x height 1 1 V = 3 ( r2)h *r = 2 d 1 = 3 (3.14 x 3 x 3) x 12 3 = 113.04 cm

6 cm

Volume of a Sphere 4 3 1 22 V= 3 r *3 7 = 7 4 22 =3x 7 x7x7x7 4 22 30,184 = 3 x 7 x 343 = 21 1 3 4,312 3 = 1,437 3 m

14 m

Complete each problem to find the volume of each figure. Write the answer in 1 appropriate units.❍Use = 3.14 or 3 7.

A 1.

2.

3.

8 yd

8m

6 ft

3m

7 yd

V = __ x __ x __ x __ x __ = ________________

B

V = __ x __ x __ x __ x __ x __ = ________________

V = __ x __ x __ x __ = ________________

Find the volume of each figure. Show your work. Write the answer in appropriate units. 1 ❍Use = 3.14 or 3 7 . 4. 5. 6. 1 ft

8m 10 in

9 cm

3m

V = ________________

C

V = ________________

V = ________________

Answer the question. 7. What is common to all the volume formulas above? Why? __________________________ __________________________________________________________________________

48

Math Standards Review 2

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Page 49

VOLUME OF SOLID FIGURES Name

Date

Write the volume formula for each figure. Then substitute the appropriate numbers and find 1 the volume. ❍Use = 3.14 or 3 7 , if needed.

A 1.

3.

5.

10 cm

14 m

10 in

10 m 12 cm

3 in

V = ________________

V = ________________

V = ________________

= ________________

= ________________

= ________________

= ________________

= ________________

= ________________

2.

4.

6. 6 in

3m 1 ft

20 ft

9 ft

1 yd

8 ft

B

V = ________________

V = ________________

V = ________________

= ________________

= ________________

= ________________

= ________________

= ________________

= ________________

Complete the chart. Find the volume of each figure. ❍Use Draw a sketch of the figure on another sheet of paper. Solid Figure

Base

Height

7. Cone

3 ft radius

12 in

8. Pyramid

10-m square

30 m

9. Triangular prism

Right triangle with legs of 4 ft and 6 ft

1 yd

10. Sphere

6 in radius

---

11. Cylinder

20 mm diameter

10 mm

12. Rectangular prism

3 by 10-ft rectangle

24 in

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1 = 3.14 or 3 7 , if needed. Volume

Math Standards Review 2

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Page 50

NETS OF CUBES AND RECTANGULAR PRISMS Name

A

Date

Look at the cube and its net. Finish labeling the net. Find the surface area of the cube. 3m

3m

3m

3m

3m

3m 3m

3 x 3 + _______ 3 x 3 + _______ + _______ + _______ + _______ Surface area = _______ = _______ + _______ + _______ + _______ + _______ + ________ = ______________

B

Look at the rectangular prism and its net. Finish labeling the net. Find the surface area. 2 ft

2 ft

5 ft

1 ft

5 ft

2 x 5 + _______ 3 x 5 + _______ + _______ + _______ + _______ Surface area = _______ = _______ + _______ + _______ + _______ + _______ + ________ = ______________

C

Look at the rectangular prism and its net. Finish drawing and labeling the net. Find the surface area.

6 in

1 in

1 in

Surface area = _______ + _______ + _______ + _______ + _______ + _______ = _______ + _______ + _______ + _______ + _______ + ________ = ______________

50

Math Standards Review 2

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Page 51

SURFACE AREA OF CUBES AND RECTANGULAR PRISMS Date

Name

A

Remember The surface area of any solid is the sum of the areas of all its faces.

Complete each problem to find the surface area. 2.

1.

SA = 6e2

front: ___________ 5 x 3 = 15

= 6 x (___ x ___)

back: ___________ 5 cm

= 6 x _________

side 1: ___________

= ___________

side 2: ___________ 5 in

4 cm

top: ___________

3 cm

bottom: ___________ SA = ___________

B

Find the surface area of each figure. Show your work. 3. SA = ____________

4. SA = ____________

5. SA = ____________ 5 cm

6m

4 cm 10 cm

7 ft 5m 4m

C

Draw and label a sketch of each figure. Then find its surface area. 6. length: 10 ft width: 2 ft height: 6 ft

7. length: 9 cm width: 90 mm height: 9 cm

SA = ____________ ©Saddleback Educational Publishing • 888-SDLBACK

SA = ____________

8. length: 9 yd height: 20 yd width: 8 yd

SA = ____________ Math Standards Review 2

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Page 52

SURFACE AREA AND VOLUME OF RECTANGULAR PRISMS Date

Name

Find the volume and surface area of each solid figure. Show your work.

A

1. V = ____________ ; SA = ____________

Remember Volume is expressed in cubic units. Surface area is expressed in square units. 3. V = ____________ ; SA = ____________

5 ft 10 m

3 ft 10 ft

3m

2. V = ____________ ; SA = ____________

4. V = ____________ ; SA = ____________

2 cm 20 cm

8 in

B

Draw and label a sketch of each figure. Then find its volume and surface area. 5. V = ____________ ; SA = ____________ l = 10 ft w = 4 ft h = 6 ft

52

3 cm

Math Standards Review 2

6. V = ____________ ; SA = ____________ l = 20 mm w = 20 mm h = 2 cm

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Page 53

SURFACE AREA OF TRIANGULAR PRISMS Name

A

Date

Remember 1 Area of triangle: A = 2 bh

Label the net for each triangular prism. Then complete each problem to find the surface area.

base 1: ____________

1.

base 2: ____________ face 1: ____________ face 2: ____________

25 m

8.7 m 10 m

face 3: ____________ SA = ____________ base 1: ____________

2.

base 2: ____________ 13 ft

face 1: ____________ face 2: ____________ 12 ft

face 3: ____________

8 ft 10 ft

SA = ____________

B

Find the surface area of each triangular prism. Show your work. 3. SA = ____________

5. SA = ____________ 5 yd

4 yd 5.2 m

4 yd

7m 3 yd

6m

4. SA = ____________

14.4 in

6. SA = ____________ 3.6 cm 5 cm

3 cm 1 ft

30 in

6 cm

8 cm

8 in

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SURFACE AREA AND VOLUME OF PRISMS Name

A

Date

Remember V = e3 SA = 6e2

Find the volume and surface area of each cube. Show your work. 1. V = ____________ ; SA = ____________

2. V = ____________ ; SA = ____________

12 mm

12 mm

9 yd

12 mm

B

Find the volume and surface area of each rectangular prism. Show your work.

3. V = ____________ ; SA = ____________

Remember V = lwh SA = 2(lw + wh + lh)

4. V = ____________ ; SA = ____________

40 m

8 ft 7 ft

30 ft

8m

C

Find the volume and surface area of each triangular prism. Show your work. 5. V = ____________ ; SA = ____________

Remember

1 V = ( 2bh1)h2

SA = sum of the areas of all faces

6. V = ____________ ; SA = ____________

20 cm 52 ft

48 ft

12 cm 15 cm 16 cm 8 ft 20 ft

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SURFACE AREA OF PYRAMIDS Name

Date

Label the nets for each pyramid. Then complete each problem to find the surface area.

A

Remember

1 Area of triangle: A = 2 bh

The surface area of any solid is the sum of the areas of all its faces.

1.

base : ____________ face 1: ____________ face 2: ____________ 6 in

face 3: ____________ face 4: ____________

4 in

SA = ____________ base : ____________

2.

face 1: ____________ face 2: ____________

8.7 m

face 3: ____________ SA = ____________

10 m

This is a tetrahedron— a figure with four faces

B

Find the surface area of each pyramid. Show your work. 3. SA = ____________

4. SA = ____________

5.2 m 10 in

6m

6 in

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SURFACE AREA OF CYLINDERS Name

Date

Label the net for each cylinder. Then complete each problem to find the surface area. 1 ❍ Use = 3.14 or 3 7 .

A

Remember

Area of circle: A =

Circumference: C =

r2

d

Lateral area = C x h

1. 3 in

base 1: ____________ base 2: ____________

5 in

lateral area: ____________ SA = ____________

2. 12 ft

base 1: ____________

4 ft

base 2: ____________ lateral area: ____________ SA = ____________

Find the surface area of each cylinder. Show your work. ❍ Use

B

3. SA = ____________

1 = 3.14 or 3 7 .

4. SA = ____________

20 m

2 ft

15 m 7 ft

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Page 57

SURFACE AREA OF MORE CYLINDERS Name

Date

Remember

Complete each problem to find the surface area of each cylinder. 1 ❍ Use = 3.14 or 3 7 .

A

Area of circle: A =

Circumference: C =

r2

d

Lateral area = C x h

2.

1. 2 cm

base 1: ____________

base 1: ____________ 4 ft

8 cm

base 2: ____________

base 2: ____________

lateral area: ____________

lateral area: ____________ 5 ft

SA = ____________

SA = ____________

B

1 = 3.14 or 3 7 .

Find the surface area of each cylinder. Show your work. ❍ Use 3. SA = ____________

4. SA = ____________

5. SA = ____________ 7 yd

3m

12 ft 4 ft

20 yd 14 m

C

Draw and label a sketch of each cylinder. Then find its surface area. ❍ Use 6. radius: 4 ft height: 8 ft

SA = ____________ ©Saddleback Educational Publishing • 888-SDLBACK

1 = 3.14 or 3 7 .

7. diameter: 4 ft height: 8 ft

SA = ____________ Math Standards Review 2

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SURFACE AREA AND VOLUME OF CYLINDERS Name

A

Date

Remember

Find the volume of each cylinder. Show your work. 1 ❍ Use = 3.14 or 3 7 . 1. V = ____________ 10 in

V=

r 2h

Volume is expressed in cubic units.

2. V = ____________

3. V = ____________ 10 ft

2m

8 in 15 ft 7m

Find the surface area of each cylinder. Show your work. 1 ❍ Use = 3.14 or 3 7 .

B

4. SA = ____________

5. SA = ____________

Remember

SA = 2 r 2 + 2 rh

Area is expressed in square units. 6. SA = ____________

8 yd 40 ft 21 mm 6 yd

4 mm

100 ft

Find the volume and surface area of each cylinder. Show your work. ❍ Use

C

7. V = ____________ ; SA = ____________

5m

1 = 3.14 or 3 7 .

8. V = ____________ ; SA = ____________

20 ft 7 ft

14 m

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SURFACE AREA OF SOLID FIGURES Name

A

Date

Remember The surface area of any solid is the sum of the areas of all its faces.

Find the surface area of each solid. 1 ❍ Use = 3.14 or 3 7 , if needed. 1. SA = ____________

3. SA = ____________

5. SA = ____________

10 m 2 ft 14 ft

7m 6m

15 ft

2. SA = ____________

4. SA = ____________

6. SA = ____________

20 cm 5 cm

4 in

5 in

8 cm

3 in 6 cm

B

Complete the chart. Find the volume of each figure. ❍ Use a sketch of the figure on another sheet of paper. Solid Figure

Base

Height

7. Cube

3-ft square

1 yd

8. Rectangular prism

2 x 5-m rectangle

6m

9. Triangular prism

Equilateral triangle with 10 cm legs and height 20 cm of 8.7 cm

10. Cylinder

10 in. radius

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1 = 3.14 or 3 7 , if needed. Draw Surface Area

2 ft

Math Standards Review 2

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LIKELIHOOD OF AN EVENT Name

A

Date

Describe the likelihood of each event listed below for spinning the spinner below. Use the words listed in the box at the right. 1. The number is greater than 0. ________________

Remember An event is something that may or may not happen. The likelihood of an event is certain, most likely, equally likely, less likely, or impossible.

2. The number is more than 12. ________________ 3. The number is even. ________________ 10

4. The number is a multiple of 3. ________________

1 2

9

5. The number is a factor of 20. ________________

3

8

6. The number is between 7 and 10. ________________ 4

7

7. The number is less than 8. ________________

6

5

8. The number is a prime number. ________________ 9. The number is a multiple of 4. ________________ 10. The number is a square number. ________________

B

The cards are numbered from 1 to 8. Describe an event for each likelihood listed. 11. impossible _______________________________________________ 12. certain _______________________________________________ 13. less likely _______________________________________________ 14. more likely _______________________________________________ 15. equally likely _______________________________________________

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PROBABILITY OF AN EVENT Date

Name

Remember Probability can be expressed as a number from 0 through 1. P (event) = number of favorable outcomes number of all possible outcomes

A

1 2

0

impossible

less likely

1 more likely certain

equally likely

Answer each question. Write a fraction for the probability of each event. 1. How many outcomes are there? _______

E

S

2. The chances of getting the letter E are _______ chances out of _______.

V

T

3. The chances of not getting the letter V is _______ chance out of _______.

N

E

4. Probability of getting an N is _______. 5. P(letter E) _______

7. P(letters E or T) _______

6. P(not letter V) _______

8. P(not letters E, N, or S) _______

The hat contains a set of eight number cards from 18 through 25. Write the simplest fraction for the probability of each event.

B

9. P(odd number) ________ 10. P(teen number) ______

18

11. P(multiple of 3) ______

19 20 21 22 23

24

25

12. P(factor of 100) ______ 13. P(square number) ______ 14. P(not n < 20) ______ 15. P(n

C

18) ______

Write an event for the number cards in the hat above. 1 16. P (___________________) is 4 .

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17. P (___________________) is 0.

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COMPOUND EVENTS Date

Name

Find the probability of drawing marbles from the bag below. Express the probability as a simplest fraction and a whole-number percent.

A

red black

red

black

red black

white white

1. What is the probability of drawing one white marble out of the bag? ______, ______ 2. What is the probability of drawing one red marble out of the bag? ______, ______ 3. What is the probability of drawing one black marble out of the bag? ______, ______ 4. What is the probability of drawing two white marbles out of the bag, with replacement? ______, ______ 1 x 1 = ___ 4 ___ ___

B

= about ______%

Remember The probability of two or more simple events happening is called a compound event. 5. What is the probability of drawing two white marbles out of the bag, without replacement? ______, ______ 1 x 1 = ___ = about ______% ___ 7 ___ 6. What is the probability of drawing two red marbles out of the bag, with replacement? ______, ______ 3 x ___ = ___ = about ______% 8 8 ___ 7. What is the probability of drawing two red marbles out of the bag, without replacement? ______, ______ 3 x ___ = ___ = about ______% ___ 7 ___

Find the probability of drawing certain pairs of numbers out of a bag. Show your work. Express the probability as a simplest fraction and nearest one percent. 8. What is the probability of drawing a pair of cards having a sum of 10, with replacement? ______, ______ Without replacement? ______, ______ 9. What is the probability of drawing a pair of cards having a product of 30, with

-2 2 4 4 5 6

replacement? ______, ______ Without replacement? ______, ______

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FIGURE THE ODDS Name

Date

Remember

Another way to express probability is to use odds.

Odds in favor of an event:

Odds against an event:

Odds for A =

Odds against A =

A

favorable outcomes unfavorable outcomes

unfavorable outcomes favorable outcomes

Use the spinner at the right to determine the odds for each event. Show your work. Express the odds as a ratio. 1. What are the odds for spinning a 3? _______ 2. What are the odds for spinning an even number? _______ 8

1

3. What are the odds for spinning a multiple of 3? _______ 4. What are the odds for spinning a 4 or a 5? _______ 5. What are the odds against spinning a 5? _______ 6. What are the odds against spinning an odd number? _______

7

2

6

3

5

4

7. What are the odds against spinning a 1 or an 8? _______ 8. What are the odds for spinning a number less than 6? _______

B

Give the odds for each situation. Show your work. Express the odds as a simplest ratio. 9. Jenny makes 2 baskets for every 5 tries. What are the odds in favor of making a basket? _______ 10. The weather person says there is a 30% chance of rain today. What are the odds that it will not rain? _______ 11. On the average, 3 out of every 1,500 people win a prize in a drawing at a local store. What are the odds against winning? _______ 12. Larry has a batting average of .200. What are the odds in favor of a hit? _______

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TREE DIAGRAMS AND PROBABILITY Name

Date

Remember A tree diagram can help you find all possible outcomes, or sample space, for a probability experiment. Complete the tree diagram for tossing two coins. Write the probability of each outcome. Then answer each question.

A

2. How many outcomes? ______

1. First spin Second spin H

Outcome Probability 1 HH 4

3. What is the probability of each outcome? ______ 4. What is the probability of tossing a double?

H T

HT

______

______

______

______

______

______

______

______

T

Complete the tree diagram for spinning the spinner twice. Write the probability of each outcome. Then answer each question.

B

2

1

5. First spin Second spin

1

2

3

64

Outcome Probability

1

11

______

2

12

______

3

______

______

1

21

______

2

22

______

______

______

______

1

______

______

______

32

______

______

______

______

Math Standards Review 2

3

6. What is the probability of each outcome? ______ 7. What is the probability of spinning a double? ______

8. What is the probability of spinning a pair with a 2? ______

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PROBABILITY AND ODDS Name

A

Date

Find the probability or odds for each event. Express the answer in simplest terms. 1. What is the probability of spinning a C? ________ 2. What is P(vowel)? ________ A

H

3. What are the odds of spinning a vowel? ________ G

B

F

C

4. What is P(E or F)? ________ 5. What are the odds of not spinning a curved letter? ________ 6. What is P(not H)? ________

D

E

7. What are the odds of spinning an A, B, or C? ________ 8. What is P(not A or E)? ________

B

Find the probability or odds for each event. Show your work. Express your answer in simplest terms. 9. What is the probability of drawing a red marble? ________

black

10. What are the odds for drawing a white marble? ________ 11. What is P(black)? ________

white red

black

12. What are the odds against drawing a red marble? ________ 13. What is P(red or black)? ________

red

black

14. What are the odds for drawing a black marble? ________ 15. What is the probability of drawing two black marbles, with replacement? ________ 16. What is the probability of drawing two red marbles, without replacement? ________ 17. What are the odds for drawing a red marble? ________ 18. What is P(3 black) without replacement? ________

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RANGE, MODE, MEDIAN, AND MEAN Name

A

Date

Rewrite each set of number in order from least to greatest. Then find the range, mode, median, and mean for each set of data. Round your answers to the nearest whole number. 1. Quiz Scores: 80, 75, 90, 80, 55, 70, 95

Remember mode – most median – middle mean – average

Numbers in Order: _______________________________________________ Range: _______

Mode: _______

Median: _______

Mean: _______

2. Weights of baseball players: 210, 195, 208, 180, 225, 200, 210, 235, 210 Numbers in Order: _______________________________________________ Range: _______

Mode: _______

Median: _______

Mean: _______

3. Heights of basketball players: 7'2", 6'10", 7'6", 6'10" 7'9" Numbers in Order: _______________________________________________ Range: _______

Mode: _______

Median: _______

Mean: _______

4. Salaries of writers: $35,000; $29,000; $2,000,000; $42,000; $20,000; $33,000 Numbers in Order: _______________________________________________ Range: _______

B

Mode: _______

Median: _______

Mean: _______

Answer each question. 5. Look at the quiz scores in Exercise 1. What score must be achieved on the next quiz in order to have an average of 80 to get a letter grade of a B for the course?

6. Look at the salaries of the writers in Exercise 4. Which measure of central tendency is the best indicator of an "average" salary? Explain.

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INTERPRET TALLY CHARTS Date

Name

A

Remember

Answer the questions about each tally chart. Ways Bike Bus Car Walk

Favorite Snack Fruit Apple //// //// //// /// Banana //// //// //// //// Grapes //// //// // Orange //// //// 1. How many students prefer each fruit? Apple _______

Banana _______

Grapes _______

Orange _______

2. How can you count the tally marks easily? ________________________________ 3. Which of these two fruits are most popular as a snack? ______________ and ______________ 4. How many students were in this poll? _______ Number of Library Books Checked Out Monday //// //// //// //// //// //// Tuesday //// //// //// //// /// Wednesday //// //// //// //// Thursday //// //// //// Friday //// //// / 9. How many books were checked out on Tuesday? ______ 10. How many books were checked out during this week? ______ 11. Write a statement comparing the number of books that were checked out on Monday and on Friday. ________________________________ ________________________________ ©Saddleback Educational Publishing • 888-SDLBACK

//// means 5

Students Get to School //// //// //// //// //// //// //// //// //// /// //// //// //// //

5. How many students for each way to get to school? Bus _______

Bike _______

Car _______

Walk _______

6. How many students responded to this poll? _______ 7. Which way do most students use to get to school? _______ 8. How many students do not walk to school? _______ Types of Vehicles Passing by the School in One Hour Car //// //// //// //// /// SUV //// //// //// //// //// //// //// //// Truck //// //// //// //// Van //// //// // 12. How many SUVs passed by the school? __________ 13. Circle the statement that is not true about the chart above? a. Almost twice as many SUVs than trucks passed by the school. b. Twice as many cars passed by the school in two hours. c. About one-third as many vans than SUVs passed by the school. Math Standards Review 2

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MAKE TALLY CHARTS Date

Name

A

Make a tally chart for each set of data. 1. Make a tally chart about the figures shown at the right. Also write a title for the tally chart. ____________________________________ __________ ________________________ __________ ________________________ __________ ________________________ __________ ________________________

2. Make a tally chart to show the number of vowels there are in the Pledge of Allegiance. Also write a title for this tally chart.

I pledge allegiance to the flag of the

____________________________________

United States of America and to the

______ ____________________________

republic for which it stands, one

______ ____________________________

nation, under God, indivisible, with

______ ____________________________

liberty and justice for all.

______ ____________________________ ______ ____________________________ ______ ____________________________

B

Write a statement about the data shown in each tally chart above. 3. About the figures: ___________________________________________________________ __________________________________________________________________________ 4.

About the vowels: __________________________________________________________ __________________________________________________________________________

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INTERPRET PICTURE GRAPHS Name

A

Date

Answer the questions about each picture graph. Videos Rented for the Weekend Thursday ✪✪✪✪✪ Friday ✪✪✪✪✪✪✪✪✪✪✪ Saturday ✪✪✪✪✪✪✪✪ Sunday ✪✪✪✪✪ ✪ = 2 videos

1. On which day were the most videos rented? How do you know without counting? __________ , ______________________ __________________________________ 2. What does ✪ stand for? ______ 3. What does ✪ stand for? ______ 4. Write the number of videos rented each day.

CD Sales for One Week Monday ■■■■ Tuesday ■■■■ Wednesday ■ ■ ■ ■ ■ ■ Thursday ■■■■■ Friday ■■■■■■■■■ ■ = 4 CDs 7. On which day were the fewest CDs sold? _____________ 8. What does ■ stand for? __________ 9. What does ■ stand for? __________ 10. What does ■ stand for? __________ 11. What does ■ stand for? __________ 12. Write the number of CDs sold. Monday: ______

Tuesday: ______

Thursday: ______

Friday: ______

Wednesday: ______ Thursday: ______

Saturday: ______

Sunday: ______

Friday: ______

5. Circle the statement that is not true about the data in the picture graph. a. The most videos were rented on Friday. b. About twice as many videos were rented on Friday than on Thursday. c. 8 videos were rented on Saturday. d. Fewer videos were rented on Sunday than on Thursday.

Total: ______

13. Complete each statement to make it true. a. More CDs were sold on Monday than on ____________ . b. About twice as many CDs were sold on ____________ than on ____________ . c. About one-third as many CDs were sold on ___________ than on ___________ .

6. Write a statement comparing the number of videos rented on Saturday and Sunday. __________________________________ __________________________________ ©Saddleback Educational Publishing • 888-SDLBACK

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DRAW PICTURE GRAPHS Name

A

Date

Make a picture graph for each set of data. 1. Make a picture graph for the data shown in the table. Include the title and symbol meaning. Books Sold at Book Fair Type of Book Number Biography 25 Cooking 30 How-To 15 Sci-Fi 40

____________________________________ __________ __________ __________ __________

__________ = ______________

2. Make a picture graph for the data shown in the chart. Include the title and symbol meaning. Poll of Favorite Pies Apple //// //// //// /// Cherry //// //// / Peach //// /// Pumpkin //// //// //

____________________________________ __________ __________ __________ __________

__________ = ______________

B

Write a statement about the data shown in each picture graph above. 3. About the book fair: ________________________________________________________ __________________________________________________________________________ 4.

About favorite pies: _________________________________________________________ __________________________________________________________________________

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INTERPRET LINE PLOTS Name

A

Date

Choose the best answer. Use the line plots to answer each question.

x x

x x x x

x x

12

x x x

13 14 15 Ages of Students in Choir

B 3

C4

B 13

B 13

C 14

C 14

B

B 13.7

B 10

A 80

100

C 20

D 25

B 85

C 90

D 100

7. The median score is _____ . A 80

D 15

C 14

80 85 90 95 Jack’s Homework Scores

A 5

D 15

4. The average (mean) age is _____ years. A 12.9

75

x x

6. The mode is _____ .

3. The median age is _____ years. A 12

x

D5

2. The mode is _____ years old. A 12

x x

x x x

5. The range in scores is _____ points.

1. The range in age is _____ year(s). A 1

x x x x x

B 85

C 90

D 100

8. The average (mean) score is _____ . A 85

D 14.5

B 85.9

C 86.9

D 90

Find the range, mode, median, and mean for each line plot. 9.

x x

x x x x

x x x x x

10.

x x

x

0 1 2 3 4 Hours of Homework Each Night

x x

x x x

x x x x

x x

x

28 29 30 31 32 Teeth in Some Adult’s Mouths

Range: ______

Mode: ______

Range: ______

Mode: ______

Median: ______

Mean: ______

Median: ______

Mean: ______ (nearest whole number)

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DRAW LINE PLOTS Name

A

Date

Draw a line plot for each set of data. Then find the range, mode, median, and mean. 1. Glasses of Water Drunk per Day by Some Students

2. Scores on a Math Test [80 70 90 85 90 95 85 90]

[3 2 1 4 8 5 6 2 3 4 3 2 3]

B

Range: _______

Mode: _______

Range: _______

Mode: _______

Median: _______

Mean: _______

Median: _______

Mean: _______

Answer each question. 3.

How do you find the median of a set that has an even number of numbers? __________________________________________________________________________ __________________________________________________________________________

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Page 73

INTERPRET STEM-AND-LEAF GRAPHS Name

A

Date

Choose the best answer. Use the stem-and-leaf plots to answer each question. Weights of Neighbor Dogs

Scores on a Science Test 6 7 8 9

| | | |

1 2 3 4

5 05 555 05

B 5

C 30

D 35

B 75

C 85

D 95

B 75

C 80

D 85

4. The mean, to nearest whole number,

B 81

A 25

A 25

C 36

D 45

C 82

B 28

C 38

D 88

B 30

C 31

D 38

8. The mean is _______. A 27

is _______. A 80

B 33

7. The median is _______.

3. The median is _______. A 65

A 3

6. The mode is _______.

2. The mode is _______. A 65

06 13555 288 6

5. The range is _______.

1. The range is _______. A 3

| | | |

B 28.5

C 30.5

D 31

D 85

Find the range, mode, median, and mean for each stem-and-leaf plot to the nearest whole number.

B 9.

Number of CDs Owned by Students 1 | 044555 2 | 00133 3 | 0226 Range: _______

Mode: _______

Median: _______

Mean: _______

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10. Minutes Spent in Computer Lab 2 3 4 5

| | | |

035 02268 056 3

Range: _______

Mode: _______

Median: _______

Mean: _______

Math Standards Review 2

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DRAW STEM-AND-LEAF GRAPHS Name

A

Date

Draw a stem-and-leaf plot for each set of data. Then find the range, mode, median, and mean. Round your answers to the nearest whole number. 1. Minutes Exercising in the Morning [25 35 45 20 25 30 25] _________________________________ ____ | __________________________ ____ | __________________________ ____ | __________________________ Range: _______

Mode: _______

Median: _______

Mean: _______

2. Heights of Students in a Choir

74

3. Number of Baseball Cards Owned by Students [63 55 38 59 30 46 56 34 51 32 40] _________________________________ ____ | __________________________ ____ | __________________________ ____ | __________________________ ____ | __________________________ Range: _______

Mode: _______

Median: _______

Mean: _______

4. Ages of Teachers in a School

[50 60 49 61 54 61 57 48 62 58 61 57]

[30 58 29 34 24 50 43 34 41

_________________________________

28 32 46 34 52 37 43 30]

____ | __________________________

_________________________________

____ | __________________________

____ | __________________________

____ | __________________________

____ | __________________________

Range: _______

Mode: _______

____ | __________________________

Median: _______

Mean: _______

____ | __________________________

Math Standards Review 2

Range: _______

Mode: _______

Median: _______

Mean: _______

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DRAW AND INTERPRET A FREQUENCY TABLE Name

A

Date

Use the data in Table A to complete Table B, the frequency table, at the right. Table A Ages of Teachers in a School Age Tally 23 // 24 / 25 /// 26 / 27 28 // 29 / 30 // 31 32 // 33 ///

B

Age Tally 34 // 35 / 36 // 37 // 38 //// 39 // 40 // 41 //// 42 // 43 / 44 ////

Table B Ages of Teachers in a School Age Tally 45 /// 46 /// 47 / 48 // 49 //// 50 / 51 // 52 // 53 54 /

Age 20-24 25-29 30-34 35-39 40-44 45-49 50-55 Total

Tally

Use the data in the tables above to answer the questions. Then circle which table, A or B, helped you more to answer each question. 1. How many teachers are under the age of 30? _______

Table A

Table B

2. How many teachers are 38 years old? _______

Table A

Table B

3. How many teachers are 25 years old? _______

Table A

Table B

4. Most teachers are in the age interval of _______ .

Table A

Table B

5. More than half of the teachers are over the age of _______ .

Table A

Table B

6. The fewest number of teachers are in the age interval of _______

Table A

Table B

7. How many teachers are between 30 and 49 years of age? _______

Table A

Table B

Table A

Table B

8. How many teachers will probably retire in the next 15 years at the age of 65? _______

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Page 76

INTERPRET SINGLE BAR GRAPHS Name

A

Date

Backpack Prices

Use the bar graph at the right to answer the questions. 35

1. What does each bar represent? _______________

30

__________________________ 3. What is the price of the Premium backpack? ________

25

Cost in Dollars

2. What is the label along the vertical axis?

20 15 10 5

4. About how much does the Basic backpack cost? ________

0 Deluxe

5. Why do you think this bar graph was

Premium

Basic

Type of Backpack

constructed with vertical bars? _________________________________________

B

Use the bar graph below to answer the questions. Frog Jumping Contest Clem

Frisky

Hopper

0

4

8

12

16

20

Number of Feet

6. What does each bar represent? __________________________ 7. What is the label along the horizontal axis? __________________________ 8. Which frog jumped the farthest? How far? ___________________ , ___________________ 9. How much farther did Hopper jump than Clem? __________________________ 10. Why do you think this bar graph was constructed with horizontal bars? _________________________________________________________________________

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Page 77

DRAW SINGLE BAR GRAPHS Name

A

Date

Use the data in the tally chart to complete the bar graph. Favorite Color Survey Red

//// //// //// //// /

Blue

//// //// //// //// ////

Green //// //// //// //

B

Use the data in the table to complete the bar graph. Movie Lengths Movie Name Anna and the King Jumanji My Dog Skip Texas

Minutes 150 120 105 95

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Page 78

INTERPRET MULTIPLE BAR GRAPHS Name

A

Date

Use the bar graph at the right to answer the questions.

Bikes Owned by Students 50

1. Which type of bar (dark or light) represents the girls? _________ 2. How many street bikes are owned by girls? _________ 3. How many mountain bikes are owned by boys? ______ 4. Which type of bike is owned by about the same number of boys and girls? __________________

Number of Students

40

30

20

10

5. About how many racing bikes are owned by both boys and girls? _________

0 Street

6. What kind of bike do most girls own? _________________

Racing

Mountain

Type of Bike

7. What kind of bike do most boys own? _________

Boys

Girls

8. About how many more girls than boys own street bikes? _________

B

Use the bar graph at the right to answer the questions. Attendance at School Events

9. Which type of bar (dark, medium, light) represents: 100

Grade 6: _________ Grade 8: _________

90

10. Which event was the most popular with all students? __________________ 11. How many seventh graders attended the Concert? ____ 12. About how many more sixth graders than eighth graders attended the Circus? _________

Number of Students

80 70 60 50 40 30 20

13. About how many more sixth graders

10

attended Games Day than the Concert? _________

0 Concert

14. Which event did the fewest number of eighth graders attend? __________________

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Math Standards Review 2

Circus

Games Day

Type of Event Grade 6

Grade 7

Grade 8

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Page 79

DRAW MULTIPLE BAR GRAPHS Name

A

Date

Use the data in the table to complete the bar graph. Students in Foreign Language Classes Language French Italian Spanish

Boys 18 15 28

Key: [ ] _________ [

B

Girls 18 27 25

] _________

Use the data in the table to complete the bar graph. Visitors at Historical Sites in City Historical Site Old City Hall Pioneer Cabin Stage Coach Stop

Children 50 450 380

Key: [ ] _________ [

Adults 350 380 300

Seniors 220 400 170

] _________ [

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] _________

Math Standards Review 2

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Page 80

INTERPRET SINGLE LINE GRAPHS Name

A

Date

Use the line graph at the right to answer the questions.

Daily Sales of CDs 100

1. What is the title of this graph?

90

_____________________________

80

2. What does the scale on the left tell you?

Number of CDs

70

_____________________________ 3. How many CDs were sold on Thursday? 4. Which day had the fewest number of sales?

60 50 40 30 20

5. On which days should the store manager increase the

10

sales staff?

and

0 M

6. There are three times as many sales on

B

T

than on Monday.

W

T

F

S

S

Days of the Week

Use the line graph at the right to answer the questions. 7. What does the scale on the left side of the graph tell you? _____________________________

Days of Rain

8. Which month has the most rain? _______________

20

9. Which months have the least rain?

18 16

_______________ and _______________

in September? _____________ 11. Between which two months is there the greatest decrease in the number of days of rain? _______________ and _______________

Number of Days

10. How many days of rain are there

14 12 10 8 6 4 2 0 J

F

M

A

M

J

J

A

S

O

Months

80

Math Standards Review 2

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N

D

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DRAW SINGLE LINE GRAPHS Name

A

Date

Use the data in the table to complete the line graph. Pizza Delivery Sales Time 4:00 pm 6:00 pm 8:00 pm 10:00 pm 12:00 midnight

B

Number of Pizzas 20 65 45 15 5

Use the data in the table to complete the line graph. Temperatures in a Day Time 12:00 midnight 4:00 am 8:00 am 12:00 noon 4:00 pm 8:00 pm 12:00 midnight

Temperature (°F) 36 32 38 47 50 42 38

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Page 82

INTERPRET MULTIPLE LINE GRAPHS Name

A

Date

Use the line graph at the right to answer the questions.

Boys and Girls in Choir

1. What does the label at the bottom tell you?

100 90

_____________________________

80 Number of Students

2. How many girls were in choir in 1999? ___________ 3. How many boys were in choir in 1998? ___________ 4. In what year was there the biggest gap between the number of boys and girls in choir? ___________ 5. How many more girls than boys were

70 60 50 40 30 20 10

there in choir in 1998? _______________

B

2001

2000

1999

1998

1997

0

Year

Use the line graph at the right to answer the questions. Key:

Boys

Girls

6. Which type of line represents Grade 8? ___________ 7. How many seventh graders were in the

Students Using Computer Lab

computer lab on Thursday? ___________

100 90

8. How many eighth graders were in the computer

80

9. How many sixth graders were in the computer lab on Friday? ___________ 10. How many more eighth graders than sixth graders

Number of Students

lab on Wednesday? ___________

were in the lab on Thursday? ___________

70 60 50 40 30 20 10

11. Between which two days was there the biggest drop

0 M

in attendance for Grade 8? ___________

T

W

Th

F

Day of the Week

and ___________

Key:

Gr. 6

Gr. 7

Gr. 8

12. Which day had the most total attendance? ___________ How can you tell without doing any computation? _______________________

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Page 83

DRAW MULTIPLE LINE GRAPHS Name

A

Date

Use the data in the table to complete the line graph. Average High and Low Temperatures (°F) Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec

High 30 35 45 55 65 75 80 95 75 50 40 35

Low 5 10 25 40 45 55 60 75 55 40 25 15

Key: [ ] _________ [

B

] _________

Use the data in the table to complete the line graph. Gift Wrap Fund Raiser Sales Week 1 2 3 4

Grade 6 $140 $120 $200 $150

Grade 7 $100 $80 $160 $180

Key: [ ] _________ [ [

Grade 8 $120 $160 $100 $140

] _________

] _________

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Page 84

INTERPRET CIRCLE GRAPHS Name

A

Date

Use the circle graph at the right to answer the questions. 1. What is the circle graph about? Favorite Pizza

_________________________________________ 2. Which pizza is the students’ favorite? ___________ 3. What fraction of the students like

Cheese 35%

pepperoni pizza? ___________

Black Olive 10%

4. What percent of the students do not like meat on their pizza? ___________ 5. How many of the students like sausage pizza?

Sausage 30%

(Compute the number of students.) ___________

Pepperoni 20 students

6. How many students like cheese pizza? (Compute the number of students.) ___________

B

Use the circle graph at the right to answer the questions. 7. What is the total amount of the monthly Household Budget

household budget? ___________ 8. What fraction of the budget is for food? ___________ 9. What percent of the budget is for the house payment? ___________

House Payment $1,200

10. What percent of the budget is for car payment and maintenance? ___________ 11. What percent of the budget is for utilities and ‘other’ expenses? ___________

84

Math Standards Review 2

Car Payment and Maintenance $750

Food $600

Other Utilities $150 $300

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Page 85

DRAW CIRCLE GRAPHS Name

A

Date

Use the data in the table to complete the circle graph. Favorite Type of Movie

B

Type Action

Percent 40%

Degrees ______

Sci-Fi

30%

______

Mystery

20%

______

Other

10%

______

Totals

______

______

Use the data in the table to complete the circle graph. Favorite Type of TV Show Type Sitcom

Number 8

Percent ______

Degrees ______

Movies 20

______

______

Sports

15

______

______

Other

7

______

______

Totals

______

______

______

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Page 86

DRAW APPROPRIATE GRAPHS Name

A

Date

Use the data in the table to make a graph. Favorite Zoo Animal Animal Bear Elephant Monkey Tiger

B

Boys 20 28 32 30

Girls 24 22 10 36

Use the data in the table to make a graph. Aluminum Can Collection Day Mon Tue Wed Thu Fri

86

Grade 7 100 40 160 90 150

Math Standards Review 2

Grade 8 80 120 100 140 180

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11:36 AM

Page 87

SIMPLE VISUAL PATTERNS Name

A

Date

Choose the best answer for each problem. 1. Which arrow comes next? A

B

C

DØ

C ”

D»

Ø

Ø

2. Which clock comes next? A …

B ‰

”” … »» ‰ ”

3. Which two letters come next in the pattern? A M, A

B T, M

C T, A

D R, T

M, A, R, T, M, A, R, …

4. How many triangles should be in the next group? A 10

B

B 12

C 15

D 18

▲▲▲ ▲▲▲▲▲▲ ▲▲▲▲▲▲▲▲▲

Follow the directions.

5. Draw the next three arrows in this pattern. Æ

Æ _________ , _________ , _________

6. Write the next three letters in this pattern. C, A, T, B, A, T, C, A T, B, _________ , _________ , _________

7. Draw the correct number of dots in the next group. •••

••••••

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••• ••••••

•••••• ••••••

_____________

Math Standards Review 2

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Page 88

SIMPLE NUMERIC PATTERNS Date

Name

A

Describe each pattern. 1. 3, 6, 9, 12, 15 ________________________________ 2. 1, 5, 9, 14, 19 ________________________________ 3. 40, 37, 34, 31, 28 ________________________________ 4. 1, 2, 4, 8, 16, 32 ________________________________ 5. 20, 21, 23, 26, 30 ________________________________

B

Complete each pattern. Write the missing numbers. 6. _______ , 14, 21, _______ , 35, _______ , 49, _______ 7. 95, 89, _______ , 77, _______ , 65, _______ , 53, _______ 8. 1, 3, _______ , 27, 81, _______ , 729, _______ , _______ 9. _______ , 150, _______ , 190, 210, _______ , 250, _______ 10. 50, 49, _______ , 44, 40, _______ , 29, _______ , 14

C

Solve each problem. 11. Each class and the lunch period in Sheena’s school is 54 minutes long. Six minutes are allowed for passing between classes. At what times are her six classes and lunch during the day starting at 8:20 AM? 8: 20, _________ , _________ , _________ , _________ , _________ , _________ 12. A certain movie at a theater is shown every two hours and fifteen minutes. If the first showtime is at 12:45 PM, what are the next four showtimes? 12: 45, _________ , _________ , _________ , _________

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Math Standards Review 2

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Page 89

WRITE ALGEBRAIC EXPRESSIONS Date

Name

Remember An algebraic expression is a mathematical phrase written with one or more variables, constants, and operation symbols.

A

Variables are letters used to represent numbers. Constants are quantities that stay the same. Operation symbols include +, -, x, and ÷ .

Write an algebraic expression, from the box at the left, for each phrase. 1. twice a number ________ 2. a number increased by two ________

B

5. a number divided by five ________ 6. half of a number ________

3. a number minus five ________

7. two less than a number ________

4. five minus a number ________

8. five times a number ________

1 2n 2n 5n n+2 n–2 n–5 n÷5 5–n

Write an algebraic expression for each phrase. Use the letter d as the variable. 9. three more than a number

13. seven minus a number

10. fives times a number

14. the sum of a number and six

11. one-third of a number

15. a number decreased by nine

12. the product of four and a number

16. five less than a number

C

Write an algebraic expression for each problem. 17. Randy read 25 more pages of a book on Monday than on Tuesday. He read __________ pages on Monday. 18. Janet has a stamp collection. She gave away 5 stamps, now she has __________ stamps. 19. Sam is twice the age of his younger brother. Sam is __________ years old. 20. Three friends split the cost of a pizza. Each person paid __________ for the pizza. 21. Kevin worked 7 hours at an hour wage. Kevin earned __________ in wages. 1 22. Michelle grew 3 2 inches since last year. She in now __________ inches tall.

D

Substitute a reasonable number for the unknown values in Exercises 17-22 above to show they make sense. Use another sheet of paper.

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Page 90

EVALUATE ALGEBRAIC EXPRESSIONS Name

A

B

90

Date

Evaluate each expression when n = 20. Show your work. 1. n + 7 _______

7. n – n _______

Remember To evaluate an expression, substitute the given value for the variable.

2. n – 6 _______

8. 3 n – 5 _______

13. n( n – 12) _______

3. 4 n _______

9. 25 – n _______

14. 5 n ÷ 4 _______

15. (n + 5)( n – 16) _______

4. n ÷ 5 _______

10. 3( n + 6) _______

1 5. 2 n _______

11. (n + 10) ÷ 6 _______

6. 3.6 + n _______

12. n2 _______

Evaluate each expression when a = 5, b = -4, and c = 6. Show your work. 16. 6c _______

1 21. 3 c _______

26. 3c – a _______

17. 3b _______

22. 4a + 3 _______

27. ab _______

18. 9a _______

23. 4b + 3 _______

28. 5c ÷ 2a _______

19. c - 3 _______

24. 4c + 3 _______

29. a + b – c _______

20. b + 10 _______

25. 10 + 3b _______

30. 3a + 4b – 2c _______

Math Standards Review 2

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Page 91

SOLVE EQUATIONS USING ADDITION OR SUBTRACTION Name

Date

Solve each equation to find the value of the variable. Show your work.

A

B

1. k + 7 = 20

4. 20 – x = 1

7. 5 + w = 0

2. 11 – c = 6

5. 33 = 5 + d

8. 75 = f – 10

3. t – 9 = 25

6. 50 = h + 3

9. - 6 + m = - 6

Remember An equation is a mathematical sentence stating that two expressions are equal.

Choose the equation that best fits each problem. 10. Greg scored 10 more points in this week’s basketball game than last week’s. If he scored 13 points last week, how many points did he score this week? A 13 – 10 = p

B p + 13 = 10

C 13 – p = 10

D 13 + 10 = p

11. The regular price of a jacket is $45. If it is reduced $15, what is the sale price? A 45 + 15 = s

B s = 45 – 15

C s + 45 = 15

D s – 15 = 45

12. If 8 is added to the number, the sum is 20. What is the mystery number? A 8 + 20 = m

C

B m + 20 = 8

C 8 + m = 20

D m – 8 = 20

Write and solve an equation for each problem. 13. The regular price of a backpack is $30. What is the sale price if it is reduced $8?

15. Tammy sold 18 pumpkins yesterday. If she sold 5 more today than yesterday, how many pumpkins did she sell today?

__________________ ; ______ 14. If 9 is subtracted from a number, the difference is 3. What is the mystery number? __________________ ; ______

__________________ ; ______

16. Jan wants to buy 5 more stamps for her collection. If so, she will have 40 stamps. How many stamps does she have now? __________________ ; ______

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Page 92

SOLVE EQUATIONS USING MULTIPLICATION OR DIVISION Name

A

B

Date

Solve each equation to find the value of the variable. Show your work. 1 c 7. 3 n = 1 1. 5m = 30 4. 4 = 12

Remember An equation is a mathematical sentence stating that two expressions are equal.

2. d ÷ 3 = 15

1 5. 10 = 5 k

8. 6w = 0

3. 40 = 8x

6. 10 = 5k

9. h ÷ 9 = 6

Choose the equation that best fits each problem. 10. Ferris wheel tickets are $4. If a total of $1,200 worth of tickets were sold, how many people bought tickets. A 4 x 1,200 = p

B p ÷ 4 = 1,200

C 1,200 ÷ 4 = p

D 1,200p = 4

11. Marty worked 8 hours. If he was paid $7.20 per hour, how much money did he earn? A 7.20 ÷ 8 = m

B 8m = 7.20

C 7.20m = 8

D 7.20 x 8 = m

12. Steve father is three times older than he is. If his father is 45, how old is Steve? 1 A 3 x 45 = y B 3y = 45 C 45y = 3 D 3 y = 45

C

Write and solve an equation for each problem. Show your work. 13. At a used book sale, $360 worth of books was sold. If the average price of each book was about $3, how many books were sold? ;

,

14. Megan earned $40 working 5 hours. What was her hourly wage? ;

92

Math Standards Review 2

,

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Page 93

SOLVE EQUATIONS BY COMBINING TERMS Name

A

B

Date

Solve each equation to find the value of the variable. Show your work. 1. 3a + 2a = 100

4. 9t – 2t = 70

7. d + 2d - d = 0

2. 24 = 5c - 3c

5. 8n = 51 + 5

8. 9k – 3k = 6

3. m + 4m = 20

6. 6w – w = 19 + 91

2 1 9. 3 x + 3 x = 6

Choose the equation that best fits each problem. 10. Janet is twice as old as her younger sister. If their combined total age is 21, how old is Janet’s sister? A 2y = 21

B 2y + y = 21

C 2y – y = 21

D 2y + 2y = 21

11. David picked four times as many cherries as Mark. If they picked a total of 80 pounds of cherries, how many pounds of cherries did each boy pick? A m + 4m = 80

B m = 4m – 80

C 4m – m = 80

D 80 ÷ m = 4m

12. There are three times as many ducks than geese in the pond. There are five times as many frogs in the pond as geese. How many geese are in the pond if there is a total of 54 animals? A 3g + 5g = 54

C

B 3g + g = 54

C 5g + g = 54

D 3g + g + 5g = 54

Write and solve an equation for each problem. 13. Dana’s mother is three times older than she is. If their total combined age is 56, how old is Dana? Her mother? ;

,

14. Mark won twice as many ribbons as Ben in last art contest. Both of them won a total of 6 ribbons. How many ribbons did each boy win? ;

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,

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Page 94

SOLVE TWO-STEP EQUATIONS Name

A

B

Date

Solve each equation. Show your work. 1. 2n + 5 = 25

3. 12 – 3w = w

5. 3y + 21 = 0

2. 4x – 3 = 25

4. 8k – 3k = 25

6. 6m = m + 20

Choose the equation that best fits each problem. 7. Five more than twice a number is 9. A 5 x 2n = 9

B 2n + 5 = 9

C 5 = 2n + 9

D 5 > 2n = 9

8. Matt’s horse weighs 100 pounds more than three times Ken’s pony. Their combined weight of the animals is 1,700 pounds. What is the weight of the pony?

C

A 100 + 3p = 1,700

C 3p + 100 + p = 1,700

B 3p + p = 1,700 + 100

D 4p – 100 = 1,700

Write and solve an equation for each problem. 9. Seven more than fives times a number is 42. What is the mystery number?

11. A puppy and its mother both weigh 40 pounds. The mother weighs 4 times as much as the puppy. How many pounds does each dog weigh?

; 10. Kelly’s father is 40 years old. That is five years less than three times her age. How old is Kelly?

; 12. The perimeter of an isosceles triangle is 55 feet. If the shortest side is 5 feet shorter than each of the other two sides, how long is it?

;

;

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Math Standards Review 2

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Page 95

GRAPH LINEAR EQUATIONS Name

Date

Remember The graph of a linear equation is a straight line.

Complete the table for each equation. Then graph the ordered pairs.

A 1.

3.

y

y = 2x x

y

0 1 3 4 5

y

y = 2x –1

10 9 8 7 6 5 4 3 2 1 0

x

y

1 2 3 4 5

x

10 9 8 7 6 5 4 3 2 1 0

0 1 2 3 4 5 6 7 8 9 10

2.

4.

y

y=x+3 x

y

0 1 2 4 6

10 9 8 7 6 5 4 3 2 1 0

1 y= 2x+2 x y 0 2 4 6 8

x

y 10 9 8 7 6 5 4 3 2 1 0

0 1 2 3 4 5 6 7 8 9 10

B

x 0 1 2 3 4 5 6 7 8 9 10

x 0 1 2 3 4 5 6 7 8 9 10

Create a table for each equation. Graph any three ordered pairs 5.

6.

y

y = 2x – 3 x

y

10 9 8 7 6 5 4 3 2 1 0

y

y=x–2 x

x 0 1 2 3 4 5 6 7 8 9 10

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y

10 9 8 7 6 5 4 3 2 1 0

x 0 1 2 3 4 5 6 7 8 9 10

Math Standards Review 2

95

UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 96

ANSWER KEY Unit 1: Whole Numbers Page 6 1

2. 3 2"

1

5. 1 8"

A. 1. 2 4" B. 4. 2 8" C. 7.

1 2 16 "

8.

1

3. 1 4"

3

7

6. 3 8"

5

5 3 16 "

9.

13 1 16 "

D. Check lines for accuracy.

6. 7. 8. 9. C. 16. 17. 18. 19.

10. 19.5 ft 3 11. 4 ft 1 12. 3 3 yd 1 13. 1 4 yd 14. _ mi 1 15. 1,173 3 yds

2,640 yd 63 in 48 in 26,400 ft < = < <

20. 21. 22. 23.

> = = <

24. 25. 26. 27.

> > < <

1

D. 28. 50 in, 1 2 yd, 5 ft (50 in, 54 in, 60 in) 1

29. 2,000 ft, 800 yd, 2 mi 1 30. 10 mi, 5,000 in, 500 ft, 170 yd Page 8 A. 1. pt 2. gal B. 5. 6. 7. 8. 9.

6c 20 qt 12 pt 16 c 7 pt

C 19. < 20. = 21. >

96

3. c 4. c 10. 11. 12. 13. 14.

15 c pt 1 2 2 gal 13 qt 1 2 2 qt

1 2

22. = 23. < 24. <

Math Standards Review 2

Page 9 A. 1. lb 2. oz 6. 7. 8. 9.

3. in 4. mi

B. 5. 24 ft

3 pt, 7 c, 2 qt 1 2 gal, 5 pt, 3 qt 1 1 2 pt, 1 2 qt, 2 gal, 10 c

B. 5. 160 oz

Page 7 A. 1. ft 2. yd

D 28. 29. 30.

15. 16. 17. 18.

40 pt 1 7 2 pt 1 2 gal 8 pt

6,000 lb 8 oz 500 lb 13,000 lb

C. 19. > 20. < 21. >

3. T 4. lb 5

10. 80 11. 12. 13. 14.

18,000 lb 40 oz 1 4 lb 1 72T

22. = 23. > 24. >

15. 8 lb 1 16. 3 8 lb 17. 12 oz 18. 2,500 lb 25. = 26. = 27. >

1

D. 28. 4,000 oz, 500 lb, 2 T 29. .001 T, 100 oz, 10 lb 1 30. 15,000 oz, 1,500 lb, 1 2 T Page 10 A. 1. 2. 3. 4. 5. 6.

80 oz 15 qt 96 in 12,000 lb 15, 840 ft 16 pt

7. 8. 9. 10. 11. 12.

75 ft 9 pt 1 3 2 ft 1 1 2 pt 7 yd 1 32T

13. 14. 15. 16.

24 oz 1,500 lb 1 1 2 gal 1,320 ft

B. 17. 18. 19. 20.

> < = >

21. 22. 23. 24.

< = < >

25. 26. 27. 28.

> = < <

C. 29. 150 yd, 1,500 ft, 0.5 mi 30. 1,500 oz, 150 lb, 0.5 T 31. 15 qt, 5 gal, 50 pt Page 11

25. > 26. < 27. >

A. 1. 10 yd 1 ft 2. 8 ft 4 in 3. 3 yd 2 ft 3 in

4. 3 gal 5. 5 qt 4 pt 7 qt 6. 12 lb 4 oz

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B. 7. 2 lb 9 oz 8. 1 gal 2 qt 9. 4 yd 2 ft

10. 4 T 800 lb 11. 2 yd 2 ft 2 in 12. 6 gal 1 pt

C. 13. 10 yr 3 in 14. 13 lb 14 oz

15. 14 gal 1 qt 1 pt

D. 16. 3 lb 2 oz 17. 1 yd 2 ft 2 in

18. 4 qt 1 pt

35 mm 3.5 cm 51 mm 5.1 cm 85 mm 8.5 cm 68 mm 6.8 cm

5. 6. 7. 8.

10 mm 1 cm 72 mm 7.2 cm 48 mm 4.8 cm 120 mm 12cm

B. Check lines for accurate lengths.

B. 5. 6. 7. 8. 9.

280 mm 550 cm 3,000 m 2,000 mm 3,700 cm

C. 19. < 20. > 21. =

3. mm 4. km 10. 11. 12. 13. 14.

4 km 1,500 m 32 mm 38.1 cm 60 cm

22. > 23. = 24. <

15. 16. 17. 18.

0.55 m 700 mm 2.5 m 8m

25. = 26. > 27. =

D. 28. 9 mm, 9 cm, 9m 29. 80 cm, 0.08 km, 800 m 30. 4,000 cm, 0.004 km, 400 m

B. 5. 6. 7. 8. 9.

5,000 mL 3,800 mL 4L 600 mL 7.5 L

C. 19. < 20. < 21. =

Page 15

B. 5. 6. 7. 8. 9.

8,000 g 5,000 mg 4g 7.5 kg 3,000 kg

C. 19. = 20. > 21. >

3. mg 4. kg 10. 11. 12. 13. 14.

7g g 5,000 380 0.6 kg

22. > 23. > 24. >

15. 16. 17. 18.

kg g 50 g

25. = 26. < 27. =

Page 16 A. 1. 2. 3. 4. 5. 6.

8,000 mL 8,000 cm 800 mg 80 mm 8,000 kg 80 cm

7. 80 g 8. 6 9. 3,000 10. m 11. 3,000 mL 12. 6

13. 14. 15. 16.

mg 930 70 mL

B. 17. 18. 19. 20.

= = < <

21. 22. 23. 24.

25. 26. 27. 28.

> = > >

> = = > 1

C. 29. 0.005 L, 50 mL, 2 L 30. 500 cm, 5,500 mm, 50 m, 5 km 31. 20,000 mg, 2,000 g, 20 kg, 0.2 T

Page 14 A. 1. L 2. mL

1

0.02 L, 200 mL, 2 L 3 4 L, 7,000 mL, 7.5 L 3.0 mL, 30 mL, 0.3 L

D. 28. 7,000 mg, 0.07 kg, 700 g 29. 500 g, 5 kg, 0.5 T 30. 3,000 mg, 300 g, 30 kg

Page 13 A. 1. m 2. cm

D. 28. 29. 30.

A. 1. kg 2. g

Page 12 A. 1. 2. 3. 4.

Page 97

3. mL 4. L 10. 11. 12. 13. 14.

3L 0.7 L 2,900 mL 800 mL 0.05 L

22. = 23. > 24. <

15. 16. 17. 18.

0.2 L 0.325 L 1,050 mL 60 mL

25. < 26. > 27. =

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Page 17 A. 1. 6.32 m 2. 14. 3 cm 3. 10. 3 km B. 7. 56 8. 12.7 cm 9. 3.5 km

4. 5.1 L 5. 10.125 kg 6. 8 m 10. 2.855 kg 11. 7.42 L 12. 2.45 m

13. 6.3 km 14. 0.55 L 15. 0.67 kg

Math Standards Review 2

97

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Page 98

ANSWER KEY Page 18

Page 21

A. 1. 2. 3. 4.

A. 1. A 2. CB 3. BD, BC

line segment 5. parallel lines point 6. line perpendicular lines 7. ray intersecting lines

B. 7. chord 8. arc 9. radius

B. Check for accuracy Page 19 A. 1. right 2. obtuse 3. acute 10. 165° 11. 45° 12. 300°

X T

Page 22

A. 1. complementary 2. supplementary 3. complementary 5. 148°

C. 7.

A. 1. equilateral 2. scalene

3. isosceles 4. equilateral

B. 5. acute 6. right

7. obtuse 8. right

C. 9. 10. 11. 12. 13.

6. 69° 10.

30° 125°

60°

V

W

13. 25° 14. 60° 15. 115°

Page 20

B. 4. 63°

10. central angle 11. center 12. diameter

C. 13.

4. obtuse 5. straight 6. obtuse

B. 7. 100° 8. 85° 9. 80°

4. AB, AC, AD 5. BD, AC, AD 6. DAC, CD

55°

right isosceles 14. obtuse scalene acute isosceles 15. acute isosceles acute equilateral 16. right scalene obtuse isosceles right scalene

Page 23 A. 1. 48° 2. 36°

3. 45° 4. 35°

5. 71° 6. 60°

B. 7. 90° right isosceles 8.

11.

55°

45° °

75°

45°

125° 8. 40° acute scalene 15° 9.

60°

12. 80°

55°

35° 95°

85°

40°

9. 90° right scalene 60° 30°

98

Math Standards Review 2

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Page 24 A. 1. (6x6) x (8x8) = c2; 36 x 64 = c2; 100 = c2; 10 = c; 10 ft 2. 20 m B. 3. 26 in

6. 17.5 cm 12.8 m

8m

Page 99

C. Check figures for accuracy. 12. A four-sided figure with opposites sides being parallel 13. A four-sided figure with all right angles and all sides being equal 14. A four-sided figure with right angles and opposite sides being equal length

15 cm

9 cm

Page 26 10 m

A. 1. congruent 2. congruent

12 cm

4. 26 in

7. 30 mm 26 in.

10 in.

50 mm 30 mm 2 ft. 40 mm

5. 13.5 yd

8. 20 in 13.4 yd.

9 yd.

5. a. SR b. TA c. S d. TAR e. fig. STAR

C. 6.

52 in.

20 in.

B. 4. a. AB b. ER c. D d. RED e. ▲CAB

3. not congruent

F

A

4 ft.

1"

1"

10 yd. B

A. 1. square 2. trapezoid 3. rectangle

2"

D

A. 1. similar 2. not similar 3. similar

4. parallelogram 5. quadrilateral 6. rhombus

B.

7. parallelogram 8. rectangle 9. rhombus 10. square 11. trapezoid

E

Page 27

Page 25

Quadrilateral

C

2"

All sides 2 pairs of 1 pair of All right the same parallel parallel angles length sides sides

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B. 4. a. b. c. d. e. f.

5. a. b. c. d. e. e.

N NEO 2:1 NE 3m ▲ACT

C. 6. 7. 8. 9.

true, all have equal sides and angles false, angles are equal, sides don’t have to be true, angles and sides are all equal true, angles and sides are all equal

S GNO 1:5 4mm SP fig. STEP

Math Standards Review 2

99

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Page 100

ANSWER KEY Page 28

Page 32

A. 1. 1:3 2. not similar 3. not similar

4. 2:3 5. 3:4

A.

B.

A

C

B. 6. 1:2, 14 in 7. 3:1, 5 m 8. 5:2, 15 in

B A

9. 3:2, 36 ft 10. 4:1, 7.5 cm 11. 3:4, 8 yd

D

D C

C.

D.

Page 29 A. 1. no 2. no

B

D

3. yes 4. yes

5. no 6. yes

B

A

C

B. Page 33 E

M

A. 1. a)

B. 2. a)

Page 30 (2,3) (3,2) (0,5) (5,0)

(0,0) (5,5) (2,6) (6,2)

B. 13. square 14. rectangle

9. 10. 11. 12.

(0,3) (5,7) (3,9) (8,0)

15. trapezoid 16. (right) triangle

Page 31 A. 1. 2. 3. 4.

(4,2) (3,-1) (-2,3) (-5,-2)

5. 6. 7. 8.

(0,-4) (-4,0) (4,0) (0,4)

B. 13. quadrilateral 14. rectangle

100

Math Standards Review 2

9. 10. 11. 12.

(-2,-1) (2,5) (-5,2) (5,-4)

15. scalene triangle 16. hexagram

R

A

C E

5. 6. 7. 8.

A

b) slide, turn c) DR d) A

B

A. 1. 2. 3. 4.

D

O

H

C. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

C

F

D

b) DF c) F d) EFD Page 34 A. 1. (-3,-3) (1,-3) (-1,-1) (-5, -1) 2. translation up, flip up (-3,3) (1,3) (1,-1) (-5,1) 3. flip up, translation right (1,3) (5,3) (3,5) (-1,5) 4. rotation _ turn, translation left, translation down (1,1) (1,-3) (3,-1) (3,3) B. 5. 6. 7. 8.

(-1,1) (-1,3) (2,2) (-4,-5) (-4,-3) (-1,-4) (-1,-1) (-1,-3) (2,-2) (1,5) (3,5) (2,2)

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Page 35

Page 101

C. 7. 9.42 in

3 in

A. 1. c, 8 + 10 + 15 = 33cm 2. (2x8) + (2x3) = 22ft 3. 4s = 4 x 25 = 100mm B. 4. 28 in 5. 21 m

6. 24 cm 7. 21 yd

8. 70 mm 9. 120 in

8. 43.96 ft 7 ft

Page 36 A. 1. 88 mm 2. 102 mm

3. 60 mm

B. 4. 5.5 cm 5. 13.2 cm

6. 10.6 cm

C. 7. 6 in 8. 6 in

9. 4.5 in

4 ft

Page 37 A. 1. 24 in 2. 24 cm

3. 15 m

B. 4. 40 cm 5. 10 ft 6. 24 cm

7. 6 mm 8. 30 m 9. 7 m

Page 38 A. 1. 34 m 2. 24 ft 3. 20 in B. 7. 8 m 8. 9 in 9. 15 cm

9. 4 ft

4. 35 cm 5. 57 in 6. 72 ft 10. 8 cm 11. 18 ft 12. 5 m

Page 40 A. 1. 240 ft2 2. 121 cm2

3. 10 in2

B. 4. 64 in2 5. 1,650 cm2

6. 39 m2

C. 7. 128 ft2 8. 7 yd

9. 8 m

Page 41 A. 1. 48 ft2 2. 54 cm2

3. 240 in2

B. 4. 112 m2 5. 30 in2 6. 55 in2

7. 150 cm2 8. 31.5 m2 9. 24 m2

Page 42 A. 1. 15 cm2 2. 16 cm2 3. 6 sq cm

Page 39 A. 1. 37.68 in 2. 50.24 cm

3. 43.96 ft

B. 4. 94.2 mm 5. 62.8 in

6. 219.8 mm

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4. 8 cm2 5. 15 cm2

Page 43 A. 1. 28.26 in2 2. 78.5 cm2

3. 153.86 ft2

B. 4. 78.5 m2 5. 314 mm2

6. 19.63 in2

Math Standards Review 2

101

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Page 102

ANSWER KEY Page 44

Page 48

A. 1. 150 cm 2. 54 in

3. 36m

A. 1. 75.36 m3 2. 905 ft3

3. 351.68 yd3

B. 4. 32 cm2 5. 200.96 m2

6. 160 yd2

B. 4. 3,055 cm3 5. 75.36 m3

6. 1,130.4 cu in

C. 7. All the volume formulas use π because a circle is part of each figure.

C. 7. p=170 ft a=1,750 fts 8. p=240 ft a=3,600 ft2 9. p=36 cm a=54 cm2

Page 49 Page 45

A. 1. v =(πr2)h = (π49)10 = 1,538.6 m3

A. 1. 60 ft 2. 216 m3

3. 576 in (or 48 ft )

B. 4. 1,600 cu cm 5. 729 in3

6. 60 ft

3

C. 7. 8. 9. 10.

3

1

3

2. v =( 2 bh1)h1 = (4x9)20 = 720 ft3 1

1

3. v = 3 (πr2)h = 3 (314)12 = 1,256 cm3 4. v = l x w x h = 36 x 12 x 6 = 2,592 in3 (or 216 ft3 or 72 yd3)

3

v=173.6 m3 rectangular prism v=15.63 ft3 cube h=3 cm rectangular prism w=3 ft (or 1 yd or 36 in) cube

1

5. v = 3 (lw)h= 30 in3 4

4

22

792

6. v = 3 πr3 = 3 x 7 x 27 = 7 = 113 m3

A. 1. 480 cm3 2. 20 ft3

3. 108 in3 (or 9 ft3)

B. 7. 9.42 ft3 10. 905 in3 3 8. 1,000 m 11. 3,140 mm3 9. 36 ft3 (or 12 yd3) 12. 60 ft3

B. 4. 27 m3 5. 48 yd3

6. 72 cu in or 6 ft3

Page 50

Page 46

C. 7. Volume of top= 210 ft3 Volume of bottom= 1,260 ft3 Volume of building = 1,470 ft3

A.

9+9+9+9+9+9 = 54 cu m

B.

34 ft3

C.

26 cu in

Page 51

Page 47 A. 1. 28 cm3 2. 75 ft3

3. 120 m3

A. 1. 15+15+20+20+12+12+ 94 cm2 2. 150 in2

B. 4. 64 yd3 5. 5 cu m

6. 240 in3

B. 3. 148 m2 4. 294 ft2

C. 7. v= 60 ft3 v= 20 ft3 A pyramid has 1/3 the volume of a similar rectangular prism

5. 220 cm2

C.

20 yd

6 ft

10 ft

9 cm 8 yd

2 ft 9 cm

6. 112 sq ft 7. 3,402 cm2

102

Math Standards Review 2

90 mm (9 cm)

9 yd

8. 986 yd2

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Page 52 A. 1. 2. 3. 4.

Page 103

Page 55

v =150 ft3 sa = 190 ft2 v = 512 in3 sa = 384 in2 v =90 m3 sa = 138 m2 v = 120 cm3 sa = 212 cm2

A. 1. b =16 sq in fl=12 in2 f2=12 in2 f3=12 in2 f4=12 in2 sa =174 m2 2. b =43.5 m2 f1=43.5 m2 f2=43.5 m2 f3=43.5 m2 sa =174 m2

B.

B. 3. 156 sq in 4. 62.4 m2 2 cm (20 mm)

6 ft

4 ft

10 ft

20 mm 20 mm

5. v = 240 ft3 sa = 248 ft2 6. v =8,000 mm3 (800 cm2) sa = 2,400 mm2 (or 240 cm2)

Page 56 A. 1. b1=28.26 in2 b2=28.26 in2 lat area= 94.2 in2 sa =150.72 sq in 2. b1=113.04 ft2 b2=113.04 ft2 la=150.72 ft2 sa =376.8 ft2 B. 3. 113.04 ft2 4. 1,570 m2

Page 53

13 ft

Page 57

12 ft 8 ft 10 ft

5 yd

4 yd 4 yd

5.2 m

7m

3 yd

6m

A. 1. b1 =43.5 m2 b2 =43.5 m2 f 1=250 m2 f 2=250 m2 f 3=250 m2 sa =837 m2 2. b1= 104 ft2 b2=80 ft2 f l=104 ft22 f 2=60 ft2 f 3= 60 ft2 sa =408 ft2

A. 1. b1=12.56 cm2 b2=12.56 cm2 la =100.45 cm2 sa =125.6 cm2 2. b1=12.56 ft2 b2=12.56 ft2 la =62.8 ft2 sa =87.92 ft2 B. 3. 263.76 ft2 4. 320.28 m2 5. 1,186.92 yd2 C. 4m

10 mm (1 cm)

8m

4 cm

4 ft

8 ft

B. 3. 157.2 m2 4. 1,304 in2

5. 72 yd2 6. 123.6 cm2

6. 301.44 ft2 7. 125.6 ft2

Page 54 A. 1. v =1,728 mm3 sa = 864 mm2 2. v = 729 yd3 sa = 486 yd2 B. 3. 4. 5. 6.

v =1,620 ft sa = 1,012 ft v = 2,560 m3 sa = 1,408 m2 v = 1,440 cm3 sa = 972 cm2 v = 3,840 ft3 sa = 1,056 ft2 3

2

Page 58 A. 1. 2,512 cu in 2. 21.98 m3

3. 1,177.5 ft3

B. 4. 251.2 yd2 5. 956.13 mm2

6. 15,072 ft2

C. 7. v =1099 m3 sa = 596.6 m2 8. v =2,198 ft3 sa =1,067.6 ft2

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Math Standards Review 2

103

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Page 104

ANSWER KEY Page 59 A. 1. 1,350 ft2 2. 47 in2 3. 230 m2 B. 7. 54 ft2 (or 9 yd2) 8. 104 m2

4. 132 cm2 5. 200.96 ft2 6. 942 cm2 9. 687 cm2 10. 2,135.2 in2

Page 60 A. 1. certain 6. less likely 2. impossible 7. more likely 3. equally likely 8. equally likely 4. less likely 9. less likely 5. equally likely 10. less likely B. Answers will vary. Here are some possible answers. 11. The number is 9. 12. The number is odd or even. 13. The number is 2. 14. The number is over 3. 15. The number is odd. Page 61 A. 1. 6 2. 1 out of 3 3. 5 out of 6 1 4. 6

1 5. 3 5 6. 6 1 7. 3 1 8. 3

1 1 B. 9. 2 13. 8 3 1 14. 4 10. 3 3 15. 1 11. 8 1 12. 3 C. Answers will vary. Here are some possible answers. 16. n<20 17. n>25

104

Math Standards Review 2

Page 62 1 1 5. 28 , 4% A. 1. 4 , 25% 3 9 2. 8 , 38% 6. 64 , 14% 3 3 3. 8 , 38% 7. 28 , 11% 1 4. 16 , 6% 1 3 2 B. 8. 7 ( 21), 14%; 15, 13% 1 1 9. 21 , 5%; 15 , 7% Page 63 A. 1. 1:7 2. 1:1 3. 1:3 4. 1:3 B. 9. 2:3 10. 7:3

5. 6. 7. 8. 11. 12.

7:1 1:1 3:1 5:3 499:1 1:4

Page 64 A. 1. First spin Second spin H

Outcome Probability 1 HH 4

H T

HT

H

TH

1 4 1 4

T

TT

1 4

T

2. 4 1 3. 4 1 4. 2

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Outcome Probability 1 11 9 1 12 9 1 13 9 1 21 9 1 22 9 1 23 9 1 31 9 1 32 9 1 33 9

1 2 3 1 2

2 3 1

3

2 3

1 6. 9 1 7. 3 5 8. 9 Page 65 1 A. 1. 8 (or 12.5%) 1 2. 4 3. 1:3 1 4. 4 1 B. 9. 3

Page 105

Page 67

7. 3:5 3 8. 4

Page 68

2

1

A. 1. 55, 70, 75, 80, 80, 90, 95; r =40 mode=80 median= 80 mean= 78 2. 180, 195, 200, 208, 210, 210, 210, 225, 235; r =55 mode=210 median=210 mean= 208 3. 6' 10", 6' 10", 7'2", 7'6", 7' 9"; r =11" mode=6'10" median=7'2" mean= 7'3" 4. $20K; $29K; $33K; $35K; $42K; $2,000K; r =$1,980,000 no mode median=$34,000 mean= $359,833 B. 5. 92% 6. Median, because there is one extreme number that throws the mean far above the range of the majority of the numbers.

A. 1. A – 18 G – 12 B – 20 O – 10 2. Multiply groups of tallies by five, then add ungrouped tallies. 3. apples and bananas 4. 60 students 5. bus – 24 car – 13 bike – 10 walk – 17 6. 64 students 7. by bus 8. 47 students 9. 23 books 10. 98 books 11. 19 more books were checked out on Monday than Friday. 12. 39 SUVs 13. b

3

5. 1:1 7 6. 8

14. 1:1

1 11. 2

1 15. 4 1 16. 15

12. 2:1

17. 1:2

5 13. 6

1 18. 20

10. 1:5

10:23 AM

Page 66

B. 5. First spin Second spin

1

01/17/08

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A. 1. 1. Shapes in the Picture circles //// //// //// //// squares / / / / / / / / / / / / / / rectangles / / / / / / / / / / triangles / / / / / / / / / / / / / / / / / / / /

Math Standards Review 2

105

UTS Binder Answer Key:UTS Binder Answer Key

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Page 106

ANSWER KEY 2. Vowels In the Pledge A //// //// / E //// //// //// / I //// //// //// O //// //// U //// Y as a vowel / B. 3. The picture uses triangles the most. 4. Letter E is used 4 times more than the letter U.

2.

Favorite Pies Apple ••••• ••••• ••••• ••• Cherry ••••• ••••• • Peach ••••• ••• Pumpkin ••••• ••••• •• ••••• = 5 pies

B. 3. Sci-fi were the most popular books sold at the book fair. 4. Apple pies are more than twice as popular as peach pies. Page 71

Page 69 A. 1. Friday, because there are obviously more symbols by Friday. 2. 2 videos 3. 1 video 4. T: 10 F: 21 Sat: 16 Sun: 9 5. c 6. Almost twice as many videos were rented Sat than Sun. 7. Tuesday 8. 4 CDs 9. 1 CD 10. 2 CDs 11. 3 CDs 12. M: 16 Tues: 14 W: 21 Thurs: 19 F:36 total: 106 (CDs sold) 13. a) Tuesday b) Friday than on Thursday c) Tuesday than on Friday Page 70 A. Sample graphs: 1. Books Sold Biography &&&&& Cooking &&&&&& How-To &&& Sci-Fi &&&&&&&&

A. 1. 2. 3. 4. B. 9.

b 5. d c 6. b c 7. b b 8. c r =4 mode= 2 hours median= 2 hours mean= 1.7 hours 10. r =4 mode= 30 median= 30 mean= 30

Page 72 A. 1. x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 5 6 7 Glasses of Water Drank r =7 mode=3 median=3

x x x x 8 mean=3.5

2. x x x x x x x 70 75 80 85 90 95 Math Test Scores r =25 mode= 90 median=87.5 mean= 85.6 B. 3. Find the average of the two middle numbers.

& = 5 books

106

Math Standards Review 2

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Page 73 A. 1. 2. 3. 4. B. 9. 10.

c 5. c c 6. a d 7. a b 8. a r =26 mode=15 median=20 mean= 21 r =33 mode=32 median=34 mean=35

Page 107

B. 1. 2. 3. 4. 5. 6. 7. 8.

10, B 4, A 3, A 40 – 44, B 40, B 20 – 24, B 49, B 6, B

Page 74 A. 1. 2 | 0 5 5 5 3 | 0 5 4 | 5 r =25 mode=25 2. 4 | 8 9 5 | 0 4 7 7 8 6 | 0 1 1 1 2 r =14 mode=61 mean= 56.5 3. 3 | 0 2 4 8 4 | 0 6 5 | 1 5 6 9 6 | 3 r =33 no mode 4. 2 | 4 8 9 3 | 0 0 2 4 4 4 | 1 3 3 6 5 | 0 2 8 r =34 mode=34

Page 76

median=25 mean= 29

median=57.5

A. 1. types of backpacks 2. cost in dollars 3. $35 4. $20 5. It is easy to compare the numbers. B. 6. frogs 7. number of feet 8. Frisky, 17 ft 9. 4 ft 10. The graph looks like the layout of the actual contest.

median=40 mean=46 Page 77 4 7

A. 1. 30

median=34 mean= 38

24

Ages of Teachers in a School Tally Age /// 20-24 //// // 25-29 //// //// 30-34 //// //// / 35-39 //// //// //// 40-44 //// //// //// 45-49 //// / 50-55 65 Total Saddleback Educational Publishing © 2002 • 1-888-SDLBACK

Number of Students

Page 75 A. 1.

Favorite Color Survey

18

12

6

0 Red

Blue

Green

Color

Math Standards Review 2

107

UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 108

ANSWER KEY Movie Lengths

B. 2.

500

180

450

160

400

140

350

Number of Visitors

200

120 Minutes

Visitors at Historical Sites in City

B.

100 80 60

300 250 200 150

40

100

20

50

0

Anna and the King

0

My Dog Skip

Jumanji

Texas

Old City Hall

Movie

Pioneer Cabin

Stage Coach Stop

Historical Site

Page 78 A. 1. light 2. 31 3. 34 4. racing B. 9. dark, light 10. Games Day 11. 65

Girls

12. 30 13. 40 14. Circus

Daily Sales of CDs

A. 100

27

90

24

80

21

70

18 15 12 9

60 50 40 30

6

20

3

10

0

4. Tues 5. Fri, Sat 6. Sat 10. 7 11. Apr, Mar

Page 81

30

0 French

Italian

Language

108

Seniors

A 1. Daily Sales of CDs 2. Number of CDs 3. 50 B 7. Number of days 8. April 9. July, Aug

Number of Pizzas

Number of Students

A.

Adults

Page 80

Students in Foreign Language Classes

Page 79

Boys

Children

5. 20 6. street 7. mountain 8. 10

Math Standards Review 2

Spanish

4:00

6:00

8:00

10:00

12:00

Time Saddleback Educational Publishing © 2002 • 1-888-SDLBACK

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01/17/08

10:23 AM

Temperatures in a Day 50

200

48

180

46

160

44

140

42 40 38

120 100 80

36

60

34

40

32

20

30

0

12:00 12:00 4:00 8:00 12:00 4:00 8:00 Mid. Mid.

1

2

3

Time

Page 82 A 1. the year 2. 55 3. 45

4

Week Key:

4. 2000 5. 15

B 6. dotted 7. 60 8. 90 9. 30

Gr. 6

Gr. 7

Gr. 8

Page 84 A 1. Students’ Favorite Pizza 4. 45% 2. cheese 5. 24 1 6. 28 3. 4 B 7. $3,000 10. 25% 1 8. 5 11. 15% 9. 40%

10. 40 11. Thurs, Fri 12. Look for where the lines are the highest.

Page 83 Average High and Low

A

Page 85

100

A Action Sci-Fi Mystery Other Totals

90 80 70 Temperature

Fund Raiser Sales

B.

Money Raised

Temperature

B.

Page 109

60

40% 30% 20% 10% 100°

144° 108° 72° 36° 360°

50 40

Action 40%

30 20

Sci-Fi 30%

Other 10%

10

Mystery 20%

0 J

F

M

A

M

J Months

J

A

S

Key:

O

N

High

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D Low

Math Standards Review 2

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UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 110

ANSWER KEY B Sitcom Movies Sports Other Totals

8 20 15 7 50

16% 40% 30% 14% 100°

Aluminum Can Collection

57.6° 144° 108° 50.4° 360°

200 180 160

Other 14%

Sports 30%

Sitcom 16%

Number of Cans

140 120 100 80 60

Movies 40%

40 20 0

Page 86

M

T

W

Th

F

Day of the Week

Graphs may vary. Key:

Gr. 7

Gr. 8

Favorite Zoo Animal 40

Page 87

36

A. 1. 2. B. 5. 6. 7.

Number of Students

32 28 24 20 16

3. b 4. b

12 8

Page 88

4

A. 1. 2. 3. 4. 5. B. 6. 7. 8. 9. 10. C. 11. 12.

0 Bear

Elephant

Monkey

Animal Boys

Girls

110

b c Æ A,T,C •••••• •••••• •••

Math Standards Review 2

Tiger

count by 3s +4, +4, +5, +5, +6, +6… –3 multiply by 2 +1, +2, +3, +4, +5… 7, 28, 42, 56 83, 71, 59, 47 9; 243; 2,187; 6,562 130, 170, 230, 270 47, 35, 22 9:20, 10:20, 11:20, 12:20, 1:20, 2:20 3:00, 5:15, 7:30, 9:45

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UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 89 A. 1. 2. 3. 4.

Page 92

2n n+2 n–5 5–n

5. 6. 7. 8.

B. 9. d+3 10. 5d 1 11. 3 x d 12. 4d

n 15 2n n–2 5n

A. 1. 2. 3. 4. 5.

18. s – 5 19. 2B

C. 13. 14. 15. 16.

A. 1. 27 2. 14 3. 80 4. 4 5. 10

6. 7. 8. 9. 10.

20.6 0 55 5 78

11. 12. 13. 14. 15.

5 400 160 25 100

B. 16. 17. 18. 19. 20.

21. 22. 23. 24. 25.

2 23 –13 27 –2

26. 27. 28. 29. 30.

13 –20 3 –5 –13

Page 91

B. 10. D 11. B C. 13. 14. 15. 16.

6. 7. 8. 9.

k =2 n =3 w =0 h =18

12. B

$360 ÷ $3=b, b =120 $40 ÷ 5=w, w =$8.00 5n =90, n =18 3x6=g, g =18 ft

A. 1. a =20 2. c =12 3. m =4 4. t =10 5. n =7

Page 90

k =13 c =6 t =34 x =19 d =28

6. 7. 8. 9.

Page 93

D. Answers will vary.

A. 1. 2. 3. 4. 5.

m =6 d =45 x =5 c =48 k =50

B. 10. C 11. D

13. 7 – d 14. d+6 15. d – 9 16. d – 5 1 20. 3 c 21. 7W 22. h+3.5

C. 17. T+25

36 –12 45 3 6

Page 111

h =47 w = -5 f =85 m =0

B. 10. B 11. A

6. 7. 8. 9.

w =22 d =0 k =1 x =6

12. D

C. 13. m+3m=56, Dana is 14, her mother is 42. 14. 2b+b=6, Mark won 4 ribbons, Ben won 2. Page 94 A. 1. n =10 2. x =7 3. w =3

4. k =5 5. y =-7 6. m =4

B. 7. B 8. C C. 9. 10. 11. 12.

5x+7=42, x =7 40=3,K – 5, 15 years 40=4p+p, 32 lbs, 8 lbs 55=2s+s – 5, 15 ft

12. C

$30 - $8 = s; s = $22 m – 9 = 3; m =12 18+5=p; p =23 5+n = 40; n =35

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Math Standards Review 2

111

UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 112

ANSWER KEY Page 95 A. 1.

4.

y

y = 2x x

y

0

0

1

2

3

6

4

8

10 9 8 7 6 5 4 3 2 1 0

y

1 y= 2x+2 x y 0

2

2

3

4

4

6

5

x

10 9 8 7 6 5 4 3 2 1 0

0 1 2 3 4 5 6 7 8 9 10

2.

B. 5.

y

y=x+3 x

y

0

3

1

4

2

5

3

6

4

7

10 9 8 7 6 5 4 3 2 1 0

x 0 1 2 3 4

112

y -1 1 3 5 7

x 0 1 2 3 4 5

x

10 9 8 7 6 5 4 3 2 1 0

y -3 -1 1 3 5 7

x

Math Standards Review 2

x 0 1 2 3 4 5 6 7 8 9 10

y

y=x–2

0 1 2 3 4 5 6 7 8 9 10

10 9 8 7 6 5 4 3 2 1 0

6.

y

y = 2x –1

y

y = 2x – 3

0 1 2 3 4 5 6 7 8 9 10

3.

x 0 1 2 3 4 5 6 7 8 9 10

x

y

3

1

4

2

5

3

10 9 8 7 6 5 4 3 2 1 0

x 0 1 2 3 4 5 6 7 8 9 10

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UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

10:23 AM

Page 113

CORRELATION TO OTHER UP-TO-SPEED MATH TITLES Abbreviations used for series titles: NS = Number Sense OP = Operations FDP = Working with Fractions, Decimals, and Percents GM = Geometry and Measurement DAR = Data Analysis and Reasoning PFA = Patterns, Functions, and Algebra

Binder II Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page 16 Page 17 Page 18 Page 19 Page 20 Page 21 Page 22 Page 23 Page 24 Page 25 Page 26 Page 27 Page 28 Page 29

UP-TO-SPEED MATH GM 16-17, 84 GM 14-15 GM 18-19 GM 20-21 GM 22-23 --GM 6-7, 85 GM 4-5 GM 8-9 GM 10-11 GM 12-13 --GM 24-25 GM 26-27 GM 28-29 GM 30-31 GM 34-37 GM 37 GM 38-39 GM 40-41 GM 44-45 GM 46-47 --GM 48-49 GM 54-55 GM 56-57 GM 50-51 GM 51 GM 58-59

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Page 30 Page 31 Page 32 Page 33 Page 34 Page 35 Page 36 Page 37 Page 38 Page 39 Page 40 Page 41 Page 42 Page 43 Page 44 Page 45 Page 46 Page 47 Page 48 Page 49 Page 50 Page 51 Page 52 Page 53 Page 54 Page 55 Page 56 Page 57 Page 58

GM 64-65 --GM 64-65 --GM 70-71 GM 66-67 GM 66-69 --GM 70-71 GM 64-73 GM 74-75 GM 76-77 --GM 80-81 GM 74-83 GM 78 GM 78-79 GM 74-75, 78-79 --GM 74-79 --GM 81 GM 81 GM 80-81 GM 82-83 DAR 66-67 DAR 68-69 DAR 70-71 DAR 72-73

Math Standards Review 2

113

UTS Binder Answer Key:UTS Binder Answer Key

01/17/08

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Page 114

ANSWER KEY TO OTHER UP-TO-SPEED MATH TITLES CORRELATION Binder II Page 59 Page 60 Page 61 Page 62 Page 63 Page 64 Page 65 Page 66 Page 67 Page 68 Page 69 Page 70 Page 71 Page 72 Page 73 Page 74 Page 75 Page 76 Page 77 Page 78 Page 79 Page 80 Page 81 Page 82 Page 83 Page 84 Page 85 Page 86 Page 87 Page 88 Page 89 Page 90

114

UP-TO-SPEED MATH DAR 78-79 DAR 66-75 DAR 16-19, 24, 26 ----DAR 28-29, 38, 40 DAR 30-31, 39 DAR 6, 20-21, 25, 27 DAR 7, 13, 22-23, 25, 27 DAR 8, 22, 25, 27 DAR 9, 13, 23 DAR 4 PFA 29; DAR 40, 65 PFA 29 DAR 32-33, 38, 41 DAR 34-35, 39, DAR 65; PFA 30 --DAR 42-43, 54 DAR 44-45, 53 DAR 46-47, 55 DAR 48-51, 53 DAR 56-57, 62-63 PFA 4-5 PFA 6-7 PFA 34-35 PFA 40-41 PFA 44-45, 58-59 PFA 50-51, 58-59 PFA 46-47 PFA 60-65 PFA 66-69

Math Standards Review 2

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