Practice Workbook with Examples

1 Practice Workbookwith ExamplesThe Practice Workbook provides additional Practice withworked-out Examples for every lesson. The workbookcovers essential skills and vocabulary. Space is providedfor students to show their work. Algebra1 Concepts and SkillsMcDougal LittellLarsonBoswellKanoldStiffcp3-pw-fm 2-15-2001 10:23 AM Page iNo part of this work may be reproduced or transmitted in any formor by any means, electronic or mechanical, including photocopyingand recording, or by any information storage or retrieval system,without the prior written permission of McDougal Littell Inc. unlesssuch copying is expressly permitted by federal copyright inquiries to Manager, Rights and Permissions, McDougalLittell Inc., Box 1667, Evanston, IL : 0-618-07869-X23456789-DWI 04 03 02 01 00 Copyright 2001 McDougal Littell Inc.

2 All rights 2-15-2001 10:23 AM Page iiCopyright McDougal Littell Inc. All rights 1. Concepts and SkillsiiiPractice Workbook with ExamplesContentsChapter1 Practice for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons for Lessons 2-15-2001 10:23 AM Page iiiPractice with ExamplesFor use with pages 3 8 Algebra 1, Concepts and Skills1 Practice Workbook with ExamplesCopyright McDougal Littell Inc. All rights DAT E_____GOALE valuate variable a Variable ExpressionVariable ExpressionMeaningOperation3 times xMultiplication3 divided by xDivision3 plus xAddition3 minus xSubtractionExercises for example 1 State the meaning of the variable expression and name the a Variable ExpressionEvaluate the expression when 36 Simplify.

3 2 12 3 Substitute 3 for 1 3 1 Substitute 3 for 1y 17y4 x3 x3 x3x,, 3 x3x, 3 x, 3 x NAME_____ DAT E_____EXAMPLE 1 VOCABULARYA variableis a letter that is used to represent a range of variable expressionconsists of constants, variables, and evaluate a variable expression, you write the expression, substitute the given number for each variable, and 2cp3-pw-01 2-19-2002 11:00 AM Page 1 Practice with ExamplesFor use with pages 3 8 NAME_____ DAT E_____2 Algebra 1, Concepts and SkillsPractice Workbook with ExamplesCopyright McDougal Littell Inc. All rights for example 2 Evaluate the expression for the given value of the Evaluate d rt to Find DistanceFind the distance dtraveled if you drive at an average speed of 65 milesper hour for 5 rtWrite formula.

4 65(5)Substitute 65 for rand 5 for t. distance traveled is 325 for example the distance traveled if you drive at an average speed of 60 miles per hour for4 the distance traveled by an airplane flying at an average speed of350 miles per hour for 6 38bq 12y 19 ya 20s 210sx 68 xNAME_____ DAT E_____EXAMPLE 3cp3-pw-01 2-19-2002 11:00 AM Page 2 Practice with Examples For use with pages 3 8 NAME_____ DAT E_____Algebra 1, Concepts and Skills3 Practice Workbook with ExamplesCopyright McDougal Littell Inc. All rights Area and area Aof a triangle is equal to half the base btimes the height h:Find the area of the triangle below in square perimeter Pof a triangle is equal to the sum of the lengths of its sides:Find the perimeter of the triangle below in 4 for band 3 for triangle has an area of 6 square 4 for band 3 for triangle has a perimeter of 12 for example the area of a triangle with a base of 10 inches and a height of 6 the perimeter of a triangle with side lengths 3 inches, 9 inches, and 11 12P 3 4 5P a b cA 6A 12 4 3 A 12bhbase bb4height hac35P a b 2-19-2002 11:00 AM Page 34 Algebra 1, Concepts and SkillsPractice Workbook with ExamplesCopyright McDougal Littell Inc.

5 All rights DAT E_____GOALP ractice with ExamplesFor use with pages 9 14 NAME_____ DAT E_____EXAMPLE 2 example 1 VOCABULARYAn expression like is called a power,where the exponent3 representsthe number of times the base 2 is used as a symbols,such as parentheses or brackets, indicate the orderin which operations should be a and Write PowersExpress the power in words. Then write the to the fourth power2 p2 p2 for example 1 Express the power in words. Then write the PowersEvaluate the expression when SOLUTIONS ubstitute 3 for value of the expression is 81. 81 3 3 3 3 y4 34y 2-19-2002 11:00 AM Page 4 Exercises for example 2 Evaluate the expression for the given value of the Exponents and Grouping SymbolsEvaluate the expression when 2 for for example 3 Evaluate the expression for the given values of the and and p 2 5p 2p 25p2d 5c 2c3 d3d 5c 2 c d 3 48 3 16 3x4 3 24 3x 43x4x 3n5m 9m3x 6x4z 5z2b 2b5q 10q3 NAME_____ DAT E_____Algebra 1, Concepts and Skills5 Practice Workbook with ExamplesCopyright McDougal Littell Inc.

6 All rights with ExamplesFor use with pages 9 14 NAME_____ DAT E_____EXAMPLE 3cp3-pw-01 2-19-2002 11:00 AM Page 5 Practice with ExamplesFor use with pages 9 14 Find VolumeA storage crate has the shape of a cube. Each edge of the crate is 5 feetlong. Find the volume of the crate in cubic formula for 5 for volume of the storage crate isExercises for example formula for the area of a square is Find the area of a square when formula for the area of a square is Find the area of a square when 12A 10A ft3. 125 53 V s3 NAME_____ DAT E_____6 Algebra 1, Concepts and SkillsPractice Workbook with ExamplesCopyright McDougal Littell Inc. All rights 4cp3-pw-01 2-19-2002 11:00 AM Page 6 Practice with ExamplesFor use with pages 15 21 Copyright McDougal Littell Inc.

7 All rights DAT E_____GOALUse the established order of Expressions Without Grouping when Use the order of Use the order of for example 1 Evaluate the 5 224 6 24 3 8 2 8 12 4 7 5 47 15 3 4 7 (15 3) 4 39 45 6 5 9 65x2 6 5 32 67 15 3 6 Algebra 1, Concepts and Skills7 Practice Workbook with ExamplesEXAMPLE 1 Substitute 3 for from left to established order of operationsis used to evaluate an expressioninvolving more than one 2-19-2002 11:00 AM Page 7 Practice with ExamplesFor use with pages 15 218 Algebra 1, Concepts and SkillsPractice Workbook with ExamplesCopyright McDougal Littell Inc. All rights Expressions with Grouping SymbolsEvaluate Use the order of for example 2 Evaluate the 4 (1 2 1)(30 1) (4 2)6 (22 1)(8 4) (1 2) 130 (1 4) 2(6 2)2 1 224 (6 2) 24 1224 (6 2).

8 NAME_____ DAT E_____Simplify Evaluate the 2cp3-pw-01 2-19-2002 11:00 AM Page 8 Practice with Examples For use with pages 15 21 Calculate Family Admission PricesUse the table below which shows admission prices for a theme park. Suppose a family of 2 adults and 3 children go to the park. The children s ages are 6 years, 8 years, and 13 an expression that represents the admission price for the a calculator to evaluate the admission price for the child who is 13 years old is $34, the adult price. The family must buy 3 adult tickets and 2 children s tickets. An expression that representsthe admission price for the family is . your calculator uses the established order of operations, the following keystrokesequence gives the result admission price for the family is $ for example example 3 for a family of 2 adults and 4 children.

9 The children s ages are 2 years, 4 years, 10 years, and 12 3(34) 2(21)NAME_____ DAT E_____Algebra 1, Concepts and Skills9 Practice Workbook with ExamplesCopyright McDougal Littell Inc. All rights 3 Theme Park Admission PricesAgeAdmission PriceAdults$ (3 9 years)$ (2 years and under)freecp3-pw-01 2-19-2002 11:00 AM Page 910 Algebra 1, Concepts and SkillsPractice Workbook with ExamplesCopyright McDougal Littell Inc. All rights DAT E_____GOALP ractice with Examples For use with pages 22 29 Check solutions of equations and Possible Solutions of an EquationCheck whether the numbers 2 and 4 are solutions of the equationSOLUTIONTo check the possible solutions, substitute them into the equation. If both sides of theequation have the same value, then the number is a 3 11 ResultConclusion22 is not a solution44 is a solutionThe number 4 is a solution of The number 2 is not a for example 1 Check whether the given number is a solution of the 7 3k 1; 3n 4n 20; 5t4 3 0; 123a 2 14; 28 2y 10; 35p 2 12.

10 32x 3 112(4) 3 117 112(2) 3 112x 3 11 NAME_____ DAT E_____VOCABULARYAn equationis a statement formed when an equal sign is placedbetween two the variable in an equation is replaced by a number and the result-ing statement is true, the number is a solution of the all the solutions of an equation is called solving the inequalityis a statement formed when an inequality symbol isplaced between two solution of an inequalityis a number that produces a true statementwhen it is substituted for the variable in the 1cp3-pw-01 2-19-2002 11:00 AM Page 10 Practice with Examples For use with pages 22 29 Algebra 1, Concepts and Skills11 Practice Workbook with ExamplesCopyright McDougal Littell Inc. All rights Mental Math to Solve an EquationWhich question could be used to find the solution of the equation A.