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Introduction to Algebra 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii–xviii

Chapter

Basic Concepts of Algebra

Chapter Opener . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

1-1 Rational and Irrational Numbers . . . . . . . . . 2

1-2 The Set of Real Numbers . . . . . . . . . . . . . . 4

1-3 Add and Subtract Real Numbers . . . . . . . . . 6

1-4 Multiply and Divide Real Numbers. . . . . . . . 8

Check Your Progress I (Lessons 1–4)

1-5 Integer Exponents . . . . . . . . . . . . . . . . . . . 10

1-6 The Order of Operations . . . . . . . . . . . . . . 12

1-7 Scientific Notation . . . . . . . . . . . . . . . . . . . 14

1-8 Algebraic Expressions . . . . . . . . . . . . . . . . 16

Check Your Progress II (Lessons 5–8)

1-9 Properties of Real Numbers. Introduction to Algebra 1. . . . . . . . . . . . Chapter Linear Inequalities Chapter Opener . . Chapter Linear Functions Chapter Opener. . . . Chapter Operations with Polynomials Chapter Ope Chapter Radical Expressions and Equations Chapt Chapter Ratio, Proportion, and Trigonometry Cha Chapter Exponential and Other Nonlinear Function End-of-Book Materials Skills Update I. Pla In This Chapter You Will: ● Identify linear func Update your skills. See page 407 XI. 5-1 First degree equations in two variables are linea Look at the line at the right. Notice that it has Practice & Activities You can also find the sl 5-2 Direct Variation Objective 2 3y 2x 6 Solve the equation for 5-3 Equations in Slope-Intercept For each equation, identify the slope and y-inter Given the slope and y-intercept, you can write an Check Your Progress I You can also write an equ 5-4 Equations in Point-Slope Form Practice & Activities You can also use the poi 5-5 Change the Form of a Linear E When a linear equation is written in standard for Rewrite in the indicated form. Check Your Progress II You can determine the co 5-6 Parallel and Perpendicular Li 2 Determine whether the lines are parallel. The lines shown in the graph at the right are pe Practice & Activities x6 2 l ⊥ l . If the sl Name Name 5-7 Graph a Linear Inequality in the Graph each inequality. 1 4x 2y 1 5-8 Absolute-Value Functions Obj 1 Graph: y | x | 2 Name Name See TI-Nspire™ Handbook on pages 415–422. 5-9 You can also use a handheld to graph linear inequ See TI-Nspire™ Handbook on pages 415–422. 5-10 Practice & Activities You can also use a handh Name Name Find the inverse of the function. 2. y 5-11 Problem-Solving Strategy: Practice & Activities Problem 2: In the figure Enrichment: Slope in Coordinate Geometry Objecti More Enrichment Topics Proving a Geometry Theo Test Prep: Multiple-Choice Questions Strategy: Un