Algebra 8 Written by Hank Garcia Editor: Carla Hamaguchi Illustrator: Darcy Tom Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project Director: Carolea Williams Reprinted 009 00 Creative Teaching Press, Inc., Huntington Beach, CA 969 Reproduction of activities in any manner for use in the classroom and not for commercial sale is permissible. Reproduction of these materials for an entire school or for a school system is strictly prohibited.
Table of Contents Introduction....................... NCTM Standards: Real Number Line...................,, 0 Adding Integers (Real Numbers)....... 6,, 9 Subtracting Integers................. 7,, 9 Time for an Operation............... 8, Multiplying Integers................. 9, Dividing Integers................... 0,, 9 Absolute Values...................., Exponents........................, Homework Help................... 3,, 8 Order of Operations................, Algebra Awareness (Real Numbers)...., Always Treat the Substitute Properly... 6, Combining Like Terms.............. 7, Equations with Addition and Subtraction................. 8, Equations with Multiplication and Division.................... 9, Solving Multi-Step Equations......... 0, An Old Question.................,, 9 The Distributive Property............, Variables on Both Sides............. 3, Translating Word Problems..........,, 6 What s the Word with Equations?.....,, 6 Consecutive Integers............... 6,, 6 Un-Doing Equations................ 7,, 7 Exponents and Variables............ 8, Volume Challenge................. 9,, 3 Algebra Awareness (Equations)....... 30, Add and Subtract Polynomials........ 3, Perimeter and Polynomials........... 3,, 3 Multiplying Polynomials by Monomials.. 33, Multiplying Polynomials............. 3, Distance, Rate, and Time............ 3,, 6 Homework Help................... 36,, 8 Area and Polynomials............... 37,, 3 Area and Perimeter Challenge........ 38,, 3 FOILed........................... 39,, 7 Squaring Binomials................. 0, Polynomial Equations.............., What s the Word with Rectangles?....,, 6 Algebra Awareness (Polynomials)..... 3, What s the Word with More Equations?.............,, 6 Common Factors..................., Greatest Monomial Factor........... 6, Prime Time....................... 7,, 9 Difference of Squares............... 8, Circular Spaces.................... 9,, 3 Factoring Perfect Square Trinomials.... 0, Factoring Pattern for x + bx + c......., Factoring Pattern for x + bx - c......., Factoring Pattern for ax + bx + c...... 3, Factoring by Grouping..............,, 7 Factoring Checklist.................,, 7 Solving Equations by Factoring....... 6, Algebra Awareness (Factoring)....... 7, Simplifying Algebraic Fractions....... 8, Dividing Polynomials by Monomials... 9, More Algebraic Fractions............ 60, Multiplying Fractions............... 6, Area with Fractions................ 6,, 3 Dividing Fractions.................. 63, Mix It Up!........................ 6, Homework Help................... 6,, 8
Least Common Denominators........ 66, Adding and Subtracting Fractions with Like Denominators........... 67, Fill in the Blanket.................. 68, Adding and Subtracting Fractions with Unlike Denominators......... 69, Perimeter and Fractions............. 70,, 3 Mixed Expressions................. 7, Algebra Awareness (Fractions)........ 7, What s the Word with Age?.......... 73,, 6 Ratios........................... 7,, What s the Word with Ratios?........ 7,, 6 Proportions....................... 76, What s the Word with Percents?...... 77,, 6 Equations with Fractional Coefficients... 78, Fractional Equations................ 79, Mixture Problems.................. 80,, 6 Homework Help.................. 8,, 8 Equations in Two Variables.......... 8, Graphing Coordinates.............. 83, Slope of a Line.................... 8,, 3 Slope Sleuth...................... 8,, 9, 0 The Slope-Intercept Form............ 86,, 3 More Practice with the Slope-Intercept Form.............. 87,, 3 Algebra Awareness (Graphing)....... 88,, 0 Puzzle Problems................... 9,, 6, 9 Homework Help................... 9,, 8 Inequalities....................... 96,, 0 Solving Inequalities................ 97,, 0 Combined Inequalities.............. 98,, 0 Absolute Value and Open Sentences... 99,, 0 Graphing Linear Inequalities........ 00,, 3, 0 Systems of Linear Inequalities....... 0,, 3, 0 Algebra Awareness (Inequalities)..... 0,, 3, 0 Radicals......................... 03, Is That Rational?.................. 0,, 9 Square Roots with Variables......... 0, Multiplying Radicals............... 06, Dividing Radicals................. 07, Adding and Subtracting Radicals..... 08, The Pythagorean Theorem.......... 09,, 3, 9 Homework Help.................. 0, Quadratic Equations..............., The Quadratic Formula............, More Practice with the Quadratic Formula.............. 3, Algebra Awareness (Quadratic Equations)............, Answer Key...................... Translating Word Problems with Multiple Unknowns............... 89,, 6 Systems of Linear Equations: The Graphing Method............ 90,, 3, 0 Systems of Equations: The Substitution Method.......... 9, Systems of Equations: The + or - Method................ 9, Systems of Equations: Multiplication with the + or - Method........... 93,
Introduction Each book in the Power Practice series contains over 00 ready-to-use activity pages to provide students with skill practice. The fun activities can be used to supplement and enhance what you are teaching in your classroom. Give an activity page to students as independent class work, or send the pages home as homework to reinforce skills taught in class. An answer key is provided for quick reference. Each activity in Algebra has been tied to the NCTM standards as outlined below. The numbers of the related standards are listed next to each activity in the Table of Contents.. Number and Operations: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.. Algebra: Understand patterns, relations, and functions. Represent and analyze mathematical situations and structures using algebraic symbols. 3. Geometry: Analyze characteristics and properties of two- and three-dimensional geometric shapes. Use visualization, spatial reasoning, and geometric modeling to solve problems.. Measurement: Understand measurable attributes of objects and the units, systems, and processes of measurement.. Data Analysis and Probability: Select and use appropriate statistical methods to analyze data. Develop and evaluate inferences and predictions that are based on data. Understand and apply basic concepts of probability. 6. Problem Solving: Solve problems that arise in mathematics and in other contexts. Apply and adapt a variety of appropriate strategies to solve problems. 7. Reasoning and Proof: Make and investigate mathematical conjectures. Develop and evaluate mathematical arguments and proofs. 8. Communication: Organize and consolidate mathematical thinking through communication. Use the language of mathematics to express mathematical ideas precisely. 9. Connections: Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. 0. Representation: Create and use representations to organize, record, and communicate mathematical ideas. Use these ready-to-go activities to recharge skill review and give students the power to succeed!
Name Date Real Number Line The opposite of positive is negative. For example, 8 and 8 are opposites. Opposites are the same distance from the origin, 0. Use the number lines below to locate the integers. Plot and its opposite. -0 0 0 Plot - and its opposite. -0 0 0 3 Plot. and its opposite. -0 0 0 Plot - and its opposite. -0 0 0 Match the given point on the number line with its corresponding letter to reveal a message. - - - 0-9 - 8-7 - 6 - - - 3 - - 0 3 6 7 8 9 0 Algebra 00 Creative Teaching Press A B C D E F G H I J K L M - - - 6-8 - - - 6-7 8 N O P Q R S T U V W X Y
Name Date Adding Integers (Real Numbers) 7 + ( - 3) = -. + 9 = 7. 3 + ( - 8) = 9 + ( -.) = 9 + ( - 9) = 0 - + 3 = 3 + ( - 3) = - 6 + 3.3 = 0 + ( - ) = - 7 + ( - 0) = - 8 + ( - 7) = 3 87 + = 6 + ( - 6) = 3 + ( - ) = 7 + ( - ) + ( - 8) = - 78 + 3.6 = 8-3 + ( - ) + 9 = 6 3 + ( - 3.) + 0.8 = Fill in the blank with positive or negative. 6 7 8 When a positive number and a negative number are added together, the sum is if the positive number has a greater absolute value. If the negative number has a greater or absolute value, the answer is. Algebra 00 Creative Teaching Press
Name Date Subtracting Integers - 7 = - 0.3 ( - ) =.3 7 = 9 - = 8 = 0 7 9 = 3-3 8 = 6.3 ( - 8.3) = 9 ( - 7) = - 7 0 = - 6.7 ( -.) = 3-3 = 6 3 ( - 3) = - 38 0 = 7 - ( - ) = 0 3 = 8 0 ( -.) = 6 0 ( - 3) = Fill in the blank with positive or negative. Algebra 00 Creative Teaching Press 7 8 Adding a negative is like subtracting a. Subtracting a negative is like adding a. 7