Chapter 2 / REVIEW Linear Equations and Inequalities in One Variable What’s the big idea? Chapter 2 provides us with the skills to solve equations and inequalities in one variable. Knowing how to solve these equations and inequalities gives us the foundation we need to solve some word problems. The properties that enable us to solve these types of problems also provide the framework for us to solve more difficult equations, which we will encounter in later chapters. The Tools Study Tips Listed below are the key terms, skills, formulas, and properties you should know for this chapter. The page reference is provided if you need additional help with the given topic. The Study Tips will assist in your preparation for an exam. 1. Learn all of the terms, formulas, and properties. Make flash cards and have someone quiz you. 2. Rework problems from the exercises and also the ones you worked in class. Work additional problems from the review exercises. 3. Review the summaries of key concepts. 4. Work the chapter test. 5. Be sure to review the online resources for additional study materials. Terms Absolute error 120 Absolute value equation 116 Area 75 Circumference 75 Complementary angles 72 Compound inequality 104 Conditional equation 59 Consecutive integers 66 Contradiction 59 Equivalent equations 54 First-degree equation 52 Formula 75 Identity 60 Intersection 101 Interval notation 86 Linear equation in one variable 52 Linear inequality in one variable 86 Perimeter 75 Right angle 72 Set-builder notation 87 Simple inequality 88 Solution of a linear inequality in one variable 86 Solution of a linear equation in one variable 52 Solution set 52 Straight angle 72 Supplementary angles 72 Test point 132 Union 103 Vertical angles 72 Formulas and Properties • Absolute value equations (Property 1) 116 • Absolute value equations (Property 2) 119 • Absolute value inequalities (Property 1) 125 • Absolute value inequalities (Property 2) 127 • Absolute value inequalities (Property 3) 128 • Absolute value inequalities (Property 4) 129 • Addition property of equality 54 • Addition property of inequality 88 • Area of triangle, rectangle, square, and circle 75 • Circumference of a circle 75 • Multiplication property of equality 55 • Multiplication property of inequality 89 • Perimeter of triangle, rectangle, and square 75 138
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