Pre-Algebra Study Guide

Parent and Student Study Guide Workbook

Glencoe/M cGraw-Hill

Copyright ? by the McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with Glencoe Pre-Algebra. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher.

Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240

ISBN: 0-07-827786-8

Pre-Algebra Parent and Student Study Guide Workbook

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Contents

Chapter

Title

Page

To the Parents of Glencoe Pre-Algebra Students . . . . . . . . . . . . .iv

1 The Tools of Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 2 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 3 Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16 4 Factors and Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24 5 Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 6 Ratio, Proportion, and Percent . . . . . . . . . . . . . . . . . . . . . . . . . .44 7 Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . .54 8 Functions and Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .61 9 Real Numbers and Right Triangles . . . . . . . . . . . . . . . . . . . . . . .72 10 Two-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81 11 Three-Dimensional Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . .90 12 More Statistics and Probability . . . . . . . . . . . . . . . . . . . . . . . . . .98 13 Polynomials and Nonlinear Functions . . . . . . . . . . . . . . . . . . . .108

Answer Key for Chapter Reviews . . . . . . . . . . . . . . . . . . . . . . .115

iii

To the Parents of Glencoe Pre-Algebra Students

You teach your children all the time. You taught language to your infants and you read to your son or daughter. You taught them how to count and use basic arithmetic. Here are some ways you can continue to reinforce mathematics learning.

? Encourage a positive attitude toward mathematics. ? Set aside a place and a time for homework. ? Be sure your child understands the importance of

mathematics achievement.

The Glencoe Pre-Algebra Parent and Student Study Guide Workbook is designed to help you support, monitor, and improve your child's math performance. These worksheets are written so that you do not have to be a mathematician to help your child.

The Parent and Student Study Guide Workbook includes:

? A 1-page worksheet for every lesson in the Student Edition (101 in all). Completing a worksheet with your child will reinforce the concepts and skills your child is learning in math class. Upside-down answers are provided right on the page.

? A 1-page chapter review (13 in all) for each chapter. These worksheets review the skills and concepts needed for success on tests and quizzes. Answers are located on pages 115?119.

Online Resources For your convenience, these worksheets are also available in a printable format at parent_student.

Pre-Algebra Online Study Tools can help your student succeed.

? extra_examples shows you additional worked-out examples that mimic the ones in the textbook.

? self_check_quiz provides a self-checking practice quiz for each lesson.

? vocabulary_review checks your understanding of the terms and definitions used in each chapter.

? chapter_test allows you to take a self-checking test before the actual test.

? standardized_test is another way to brush up on your standardized test-taking skills.

iv

Chapter 1

NAME ______________________________________________ DATE______________ PERIOD _____

1-1 Using a Problem-Solving Plan (Pages 6?10)

You can use a four-step plan to solve real-life, math-related problems.

Explore Plan Solve Examine

Read the problem carefully. Ask yourself questions like "What facts do I know?" and "What do I need to find out?"

See how the facts relate to each other. Make a plan for solving the problem. Estimate the answer.

Use your plan to solve the problem. If your plan does not work, revise it or make a new one.

Reread the problem. Ask, "Is my answer close to my estimate? Does my answer make sense for the problem?" If not, solve the problem another way.

Example

Luther bought 8 CDs at a sale. The first CD purchased costs $13, and each additional CD costs $6. What was the total cost before tax?

Explore Plan Solve Examine

You are given the cost of the first CD and the cost of additional CDs. You need to find the total cost.

First find the number of additional CDs after the first CD he purchased. Multiply that number by $6 and add $13 for the first CD. Estimate the total cost by using $15 7 $5 $50. 8 1 7, 7 $6 $42, $42 $13 $55 The total cost of $55 is close to the estimate of $50, so the answer is reasonable.

Practice

1. The table at the right shows estimates of the number of species of plants and animals on Earth. Find the total number of species on Earth. a. Write the explore step. b. Write the plan step. c. Solve the problem. d. Examine your solution. Is it reasonable?

2. Jeff is 10 years old. His younger brother, Ben, is 4 years old. How old will Jeff be when he is twice as old as Ben?

Group Mammals, Reptiles, Amphibians Birds Fish Plants Invertebrates

Number

13,644

9,000 22,000 443,644 4,400,000

3. Standardized Test Practice At Camp Mystic, there are 576 campers.

If 320 campers are boys, then how many campers are girls?

A 432 girls

B 320 girls

C 256 girls

D 144 girls

Answers: 1. See Answer Key. 2. 12 years old 3. C

? Glencoe/McGraw-Hill

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Glencoe Pre-Algebra

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