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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