Algebra 1 Algebra 1

Algebra 1

| ISBN: 9780078884801 / 0078884802


expert-verified solutions in this book

Algebra 1
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| ISBN: 9780078884801 / 0078884802


expert-verified solutions in this book

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Table of Contents

Chapter 0

Preparing For Algebra

0-1 Plan for Problem Solving Exercises p.P6
0-2 Real Numbers Exercises p.P10
0-3 Operations with Integers Exercises p.P12
0-4 Adding and Subtracting Rational Numbers Exercises p.P16
0-5 Multiplying and Dividing Rational Numbers Exercises p.P19
0-6 The Percent Proportion Exercises p.P21
0-7 Perimeter Exercises p.P25
0-8 Area Exercises p.P28
0-9 Volume Exercises p.P30
0-10 Surface Area Exercises p.P32
0-11 Simple Probability and Odds Exercises p.P36
0-12 Mean, Median, Mode, Range, & Quartiles Exercises p.P39
0-13 Representing Data Exercises p.P43
Posttest p.P44

Chapter 1

Expressions, Equations, And Functions

1-1 Variables and Expressions Exercises p.7
1-2 Order of Operations Exercises p.12
1-3 Properties of Numbers Exercises p.19
1-4 The Distributive Property Exercises p.27
Mid-Chapter Quiz p.30
1-5 Equations Exercises p.34
1-6 Representing Relations Exercises p.41
1-7 Representing Functions Exercises p.49
1-8 Logical Reasoning and Counterexamples Exercises p.56
Study Guide and Review p.62
Practice Test p.67
Preparing for Standardized Tests p.69
Standardized Test Practice p.70

Chapter 2

Linear Equations

2-1 Writing Equations Exercises p.77
2-2 Solving Equations Exercises p.86
2-3 Solving Multi-Step Equations Exercises p.93
2-4 Solving Equations with the Variable on Each Side Exercises p.100
2-5 Solving Equations Involving Absolute Value Exercises p.105
Mid-Chapter Quiz p.110
2-6 Ratios and Proportions Exercises p.114
12-7 Probability Simulations Exercises p.121
2-8 Literal Equations and Dimensional Analysis Exercises p.128
2-9 Weighted Averages Exercises p.135
Study Guide and Review p.139
Practice Test p.145
Preparing for Standardized Tests p.147
Standardized Test Practice p.148

Chapter 3

Linear Functions

3-1 Graphing Linear Equations Exercises p.157
3-2 Solving Linear Equations by Graphing Exercises p.164
3-3 Rate of Change and Slope Exercises p.175
Mid-Chapter Quiz p.179
3-4 Direct Variation Exercises p.183
3-5 Arithmetic Sequences as Linear Functions Exercises p.191
Algebra Lab: Inductive and Deductive Reasoning p.194
3-6 Proportional and Nonproportional Relationships Exercises p.198
Study Guide and Review p.201
Practice Test p.205
Preparing for Standardized Tests p.207
Standardized Test Practice p.208

Chapter 4

Linear Functions And Relations

4-1 Graphing Equations in Slope-Intercept Form Exercises p.217
Graphing Technology Lab: The Family of Linear Graphs p.223
4-2 Writing Equations in Slope-Intercept Form Exercises p.227
4-3 Writing Equations in Point-Slope Form Exercises p.233
4-4 Parallel and Perpendicular Lines Exercises p.240
Mid-Chapter Quiz p.244
4-5 Scatter Plots and Lines of Fit Exercises p.248
Algebra Lab: Correlation and Causation p.252
4-6 Regression and Median-Fit Lines Exercises p.256
4-7 Special Functions Exercises p.264
Graphing Technology Lab: Piecewise-Linear Functions p.269
Study Guide and Review p.270
Practice Test p.275
Preparing for Standardized Tests p.277
Standardized Test Practice p.278

Chapter 5

Linear Inequalities

5-1 Solving Inequalities by Addition and Subtraction Exercises p.286
5-2 Solving Inequalities by Multiplication and Division Algebra Lab: Solving Inequalities p.289
Exercises p.293
5-3 Solve Multi-Step Inequalities Exercises p.298
Mid-Chapter Quiz p.302
5-4 Solving Compound Inequalities Algebra Lab: Reading Compound Statements p.303
Exercises p.306
5-5 Inequalities Involving Absolute Value Exercises p.312
5-6 Graphing Inequalities in Two Variables Exercises p.318
Graphing Technology Lab: Graphing Inequalities p.321
Study Guide and Review p.322
Practice Test p.325
Preparing for Standardized Tests p.327
Standardized Test Practice p.328

Chapter 6

Systems Of Linear Equations And Inequalities

6-1 Graphing Systems of Equations Exercises p.336
Graphing Technology Lab: Systems of Equations p.341
6-2 Substitution Exercises p.345
6-3 Elimination Using Addition and Subtraction Exercises p.351
6-4 Elimination Using Multiplication Exercises p.357
Mid-Chapter Quiz p.361
6-5 Applying Systems of Linear Equations Exercises p.365
Spreadsheet Lab: Credit Cards and Cash p.368
6-6 Organizing Data Using Matrices Exercises p.372
6-7 Using Matrices to Solve Systems of Equations Exercises p.378
6-8 Systems of Inequalities Exercises p.384
Graphing Technology Lab: Systems of Inequalities p.387
Study Guide and Review p.388
Practice Test p.393
Preparing for Standardized Tests p.395
Standardized Test Practice p.396

Chapter 7


7-1 Multiplying Monomials Exercises p.404
7-2 Dividing Monomials Exercises p.412
7-3 Scientific Notation Exercises p.419
7-4 Polynomials Algebra Lab: Polynomials p.423
Exercises p.426
Mid-Chapter Quiz p.430
7-5 Adding and Subtracting Polynomials Algebra Lab: Ading and Subtracting Polynomials p.432
Exercises p.435
7-6 Multiplying a Polynomial by a Monomial Exercises p.441
7-7 Multiplying Polynomials Algebra Lab: Multiplying Polynomials p.446
Exercises p.450
7-8 Special Products Exercises p.455
Study Guide and Review p.459
Practice Test p.463
Preparing for Standardized Tests p.465
Standardized Test Practice p.466

Chapter 8

Factoring And Quadratic Equations

8-1 Monomials and Factoring Exercises p.472
8-2 Using the Distributive Property Algebra Lab: Factoring Using the Distributive Property p.475
Exercises p.479
8-3 Quadratic Equations: x^2+bx+c=0 Algebra Lab: Factoring Trinomials p.484
Exercises p.489
Mid-Chapter Quiz p.492
8-4 Quadratic Equations: ax^2+bx+c=0 Exercises p.496
8-5 Quadratic Equations: Difference of Squares Exercises p.501
8-6 Quadratic Equations: Perfect Squares Exercises p.509
Study Guide and Review p.513
Practice Test p.517

Chapter 9

Quadratic And Exponential Functions

9-1 Graphing Quadratic Functions Exercises p.531
9-2 Solving Quadratic Equations by Graphing Exercises p.540
9-3 Transformations of Quadratic Functions Exercises p.547
9-4 Solving Quadratic Equations by Completing the Square Exercises p.554
9-5 Solving Quadratic Equations Using the Quadratic Formula Exercises p.562
9-6 Exponential Functions Exercises p.570
9-7 Growth and Decay Exercises p.575
9-8 Geometric Sequences as Exponential Functions Exercises p.581
9-9 Analyzing Functions with Successive Differences and Ratios Exercises p.587
Study Guide and Review p.592
Practice Test p.597
Preparing for Standardized Tests p.599
Standardized Test Practice p.600

Chapter 10

Radical Functions And Geometry

10-1 Square Root Functions Exercises p.608
10-2 Simplifying Radical Expressions Exercises p.615
10-3 Operations with Radical Expressions Exercises p.621
10-4 Radical Equations Exercises p.626
Mid-Chapter Quiz p.629
10-5 The Pythagorean Theorem Exercises p.632
10-6 The Distance and Midpoint Formulas Exercises p.638
10-7 Similar Triangles Exercises p.644
10-8 Trigonometric Ratios Exercises p.652
Study Guide and Review p.656
Practice Test p.661
Preparing for Standardized Tests p.663
Standardized Test Practice p.664

Chapter 11

Rational Functions And Equations

11-1 Inverse Variation Exercises p.673
11-2 Rational Functions Exercises p.681
11-3 Simplifying Rational Expressions Exercises p.687
11-4 Multiplying and Dividing Rational Expressions Exercises p.695
Mid-Chapter Quiz p.699
11-5 Dividing Polynomials Exercises p.702
11-6 Adding and Subtracting Rational Expressions Exercises p.710
11-7 Mixed Expressions and Complex Functions Exercises p.717
11-8 Rational Equations Exercises p.724
Study Guide and Review p.727
Practice Test p.731
Preparing for Standardized Tests p.733
Standardized Test Practice p.734

Chapter 12

Statistics And Probability

12-1 Designing a Survey Exercises p.743
12-2 Analyzing Survey Results Exercises p.750
12-3 Statistics and Parameters Exercises p.759
Mid-Chapter Quiz p.763
12-4 Permutations and Combinations Exercises p.767
12-5 Probability of Compound Events Exercises p.775
12-6 Probability Distributions Exercises p.781
12-7 Probability Simulations Exercises p.789
Study Guide and Review p.793
Practice Test p.797
Preparing for Standardized Tests p.799
Standardized Test Practice p.800
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