9780133185485

Algebra 1 Common Core

Basia Hall, Charles, Kennedy

1-1

Variables and Expressions

Exercises

p.7

1-2

Order of Operations and Evaluating Expressions

Exercises

p.13

1-3

Real Numbers and the Number Line

Exercises

p.20

1-4

Properties of Real Numbers

Exercises

p.26

Mid-Chapter Quiz

p.29

1-5

Adding and Subtracting Real Numbers

Exercises

p.33

1-6

Multiplying and Diving Real Numbers

Exercises

p.42

1-7

The Distributive Property

Exercises

p.49

1-8

An Introduction to Equations

Exercises

p.56

1-9

Patterns, Equations, and Graphs

Exercises

p.64

Chapter Review

p.68

Chapter Test

p.73

Cumulative Test Prep

p.74

2-1

Solving One-Step Equations

Exercises

p.85

2-2

Solving Two-Step Equations

Exercises

p.91

2-3

Solving Multi-Step Equations

Exercises

p.97

2-4

Solving Equations with Variables on Both Sides

Exercises

p.105

2-5

Literal Equations and Formulas

Exercises

p.112

Mid-Chapter Quiz

p.115

2-6

Ratios, Rates, and Conversions

Exercises

p.119

2-7

Solving Proportions

Exercises

p.127

2-8

Proportions and Similar Figures

Exercises

p.133

2-9

Percents

Exercises

p.141

2-10

Change Expressed as a Percent

Exercises

p.148

Chapter Review

p.152

Chapter Test

p.157

Cumulative Test Prep

p.158

Get Ready!

p.161

3-1

Inequalities and Their Graphs

Exercises

p.167

3-2

Solving Inequalities Using Addition and Subtraction

Exercises

p.174

3-3

Solving Inequalities Using Multiplication or Division

Exercises

p.181

3-4

Solving Multi-Step Inequalities

Exercises

p.189

Mid-Chapter Quiz

p.193

3-5

Working with Sets

Exercises

p.197

3-6

Compound Inequalities

Exercises

p.204

3-7

Absolute Value Equations and Inequalities

Exercises

p.210

3-8

Union and Intersection of Sets

Exercises

p.218

Chapter Review

p.222

Chapter Test

p.227

Cumulative Test Prep

p.228

4-1

Using Graphs to Relate Two Quantities

Exercises

p.237

4-2

Patterns and Linear Functions

Exercises

p.243

4-3

Patterns and Nonlinear Functions

Exercises

p.249

Mid-Chapter Quiz

p.252

4-4

Graphing a Function Rule

Exercises

p.257

4-5

Writing a Function Rule

Exercises

p.264

4-6

Formalizing Relations and Functions

Exercises

p.271

4-7

Arithmetic Sequences

Exercises

p.278

Chapter Review

p.283

Chapter Test

p.287

Cumulative Test Prep

p.288

5-1

Rate of Change and Slope

Exercises

p.297

5-2

Direct Variation

Exercises

p.304

5-3

Slope-Intercept Form

Exercises

p.311

5-4

Point-Slope Form

Exercises

p.318

Mid-Chapter Quiz

p.321

5-5

Standard Form

Exercises

p.325

5-6

Parallel and Perpendicular Lines

Exercises

p.333

5-7

Scatter Plots and Trend Lines

Exercises

p.340

5-8

Graphing Absolute Value Functions

Exercises

p.348

Chapter Review

p.353

Chapter Test

p.357

Cumulative Test Prep

p.358

6-1

Solving Systems by Graphing

Exercises

p.367

6-2

Solving Systems Using Substitution

Exercises

p.375

6-3

Solving Systems Using Elimination

Exercises

p.381

6-4

Applications of Linear Systems

Exercises

p.390

Mid-Chapter Quiz

p.393

6-5

Linear Inequalities

Exercises

p.397

6-6

Systems of Linear Inequalities

Exercises

p.402

Chapter Review

p.408

Chapter Test

p.411

Cumulative Test Prep

p.412

7-1

Zero and Negative Exponents

Exercises

p.421

7-2

Multiplying Powers with the Same Base

Exercises

p.429

7-3

More Multiplication Properties of Exponents

Exercises

p.436

7-4

Division Properties of Exponents

Exercises

p.443

Mid-Chapter Quiz

p.447

7-5

Rational Exponents and Radicals

Exercises

p.450

7-6

Exponential Functions

Exercises

p.456

7-7

Exponential Growth and Decay

Exercises

p.463

Chapter Review

p.474

Chapter Test

p.479

Cumulative Test Prep

p.480

7-8

Geometric Sequences

Exercises

p.470

8-1

Adding and Subtracting Polynomials

Exercises

p.489

8-2

Multiplying and Factoring

Exercises

p.494

8-3

Multiplying Binomials

Exercises

p.501

8-4

Multiplying Special Cases

Exercises

p.507

Mid-Chapter Quiz

p.510

8-5

Factoring x^2 + bx + c

Exercises

p.515

8-6

Factoring ax^2 + bx + c

Exercises

p.520

8-7

Factoring Special Cases

Exercises

p.526

8-8

Factoring by Grouping

Exercises

p.531

Chapter Review

p.535

Chapter Test

p.539

Cumulative Test Prep

p.540

9-1

Quadratic Graphs and Their Properties

Exercises

p.549

9-2

Quadratic Functions

Exercises

p.556

9-3

Solving Quadratic Equations

Exercises

p.564

9-4

Factoring to Solve Quadratic Equations

Exercises

p.570

Mid-Chapter Quiz

p.575

9-5

Completing the Square

Exercises

p.579

9-6

The Quadratic Formula and the Discriminant

Exercises

p.586

9-7

Linear, Quadratic, and Exponential Models

Exercises

p.592

9-8

Systems of Linear and Quadratic Equations

Exercises

p.599

Chapter Review

p.603

Chapter Test

p.607

Cumulative Test Prep

p.608

10-1

Pythagorean Theorem

Exercises

p.616

10-2

Simplifying Radicals

Exercises

p.623

10-3

Operations with Radical Expressions

Exercises

p.629

Mid-Chapter Quiz

p.632

10-4

Solving Radical Equations

Exercises

p.636

10-5

Graphing Square Root Functions

Exercises

p.641

10-6

Trigonometric Ratios

Exercises

p.649

Chapter Review

p.653

Chapter Test

p.657

Cumulative Test Prep

p.658

11-1

Simplifying Rational Expressions

Exercises

p.667

11-2

Multiplying and Dividing Rational Expressions

Exercises

p.673

11-3

Dividing Polynomials

Exercises

p.681

11-4

Adding and Subtracting Rational Expressions

Exercises

p.687

Mid-Chapter Quiz

p.690

11-5

Solving Rational Equations

Exercises

p.695

11-6

Inverse Variation

Exercises

p.702

11-7

Graphing Rational Functions

Exercises

p.710

Chapter Review

p.715

Chapter Test

p.719

Cumulative Test Prep

p.720

12-1

Organizing Data Using Matrices

Exercises

p.729

12-2

Frequency and Histograms

Exercises

p.735

12-3

Measures of Central Tendency and Dispersion

Exercises

p.742

12-4

Box-and-Whisker Plots

Exercises

p.749

12-5

Samples and Surveys

Exercises

p.756

Mid-Chapter Quiz

p.761

12-6

Permutations and Combinations

Exercises

p.766

12-7

Theoretical and Experimental Probability

Exercises

p.772

12-8

Probability of Compound Events

Exercises

p.780

Chapter Review

p.786

Chapter Test

p.791

End-of-Course Assessment

p.792