Algebra 1 Common Core Algebra 1 Common Core

Algebra 1 Common Core

| ISBN: 9780078951152 / 0078951151


expert-verified solutions in this book

Algebra 1 Common Core
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| ISBN: 9780078951152 / 0078951151


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
0-3 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
0-13 Representing Data Exercises p.P45
Posttest p.P47

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.29
Mid-Chapter Quiz p.32
1-5 Equations Exercises p.36
1-6 Relations Exercises p.43
1-7 Functions Exercises p.51
1-8 Interpreting Graphs of Functions Exercises p.59
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 One-Step 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 of Compound Events 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.159
3-2 Solving Linear Equations by Graphing Exercises p.166
3-3 Rate of Change and Slope Exercises p.177
Mid-Chapter Quiz p.181
3-4 Direct Variation Exercises p.185
3-5 Arithmetic Sequences as Linear Functions Exercises p.193
Algebra Lab: Inductive and Deductive Reasoning p.196
3-6 Proportional and Nonproportional Relationships Exercises p.200
Study Guide and Review p.203
Practice Test p.207
Preparing for Standardized Tests p.209
Standardized Test Practice p.210

Chapter 4

Equations Of Linear Functions

4-1 Graphing Equations in Slope-Intercept Form Exercises p.219
4-2 Writing Equations in Slope-Intercept Form Exercises p.229
4-3 Writing Equations in Point-Slope Form Exercises p.235
4-4 Parallel and Perpendicular Lines Exercises p.242
Mid-Chapter Quiz p.246
4-5 Scatter Plots and Lines of Fit Exercises p.250
Algebra Lab: Correlation and Causation p.254
4-6 Regression and Median-Fit Lines Exercises p.259
4-7 Inverse Linear Functions Exercises p.267
Study Guide and Review p.272
Practice Test p.277
Preparing for Standardized Tests p.279
Standardized Test Practice p.280

Chapter 5

Linear Inequalities

5-1 Solving Inequalities by Addition and Subtraction Exercises p.288
5-2 Solving Inequalities by Multiplication and Division Exercises p.295
5-3 Solving Multi-Step Inequalities Exercises p.300
Mid-Chapter Quiz p.304
5-4 Solving Compound Inequalities Algebra Lab: Reading Compound Statements p.305
Exercises p.308
5-5 Inequalities Involving Absolute Value Exercises p.314
5-6 Graphing Inequalities in Two Variables Exercises p.320
Graphing Technology Lab: Graphing Inequalities p.323
Study Guide and Review p.324
Practice Test p.327
Preparing for Standardized Tests p.329
Standardized Test Practice p.330

Chapter 6

Systems Of Linear Equations And Inequalities

6-1 Graphing Systems of Equations Exercises p.338
Graphing Technology Lab: Systems of Equations p.343
6-2 Substitution Exercises p.347
6-3 Elimination Using Addition and Subtraction Exercises p.353
6-4 Elimination Using Multiplication Exercises p.359
Mid-Chapter Quiz p.363
6-5 Applying Systems of Linear Equations Exercises p.367
6-6 Systems of Inequalities Exercises p.374
Graphing Technology Lab: Systems of Inequalities p.377
Study Guide and Review p.378
Practice Test p.383
Preparing for Standardized Tests p.385
Standardized Test Practice p.386

Chapter 7

Exponents And Exponential Functions

7-1 Multiplication Properties of Exponents Exercises p.394
7-2 Division Properties of Exponents Exercises p.402
7-3 Rational Exponents Exercises p.410
7-4 Scientific Notation Exercises p.417
Mid-Chapter Quiz p.421
7-5 Exponential Functions Graphing Technology Lab: Family of Exponential Functions p.423
Exercises p.427
Graphing Technology Lab: Solving Exponential Equations and Inequalities p.430
7-6 Growth and Decay Exercises p.434
Algebra Lab: Transforming Exponential Expressions p.437
7-7 Geometric Sequences as Exponential Functions Exercises p.441
Algebra Lab: Average Rate of Change of Exponential Functions p.444
7-8 Recursive Formulas Exercises p.448
Study Guide and Review p.451
Practice Test p.455
Preparing for Standardized Tests p.457
Standardized Test Practice p.458

Chapter 8

Quadratic Expressions And Equations

8-1 Adding and Subtracting Polynomials Algebra Lab: Adding and Subtracting Polynomials p.464
Exercises p.468
8-2 Multiplying a Polynomial by a Monomial Exercises p.474
8-3 Multiplying Polynomials Algebra Lab: Multiplying Polynomials p.479
Exercises p.483
8-4 Special Products Exercises p.488
Mid-Chapter Quiz p.492
8-5 Using the Distributive Property Algebra Lab: Factoring Using the Distributive Property p.493
Exercises p.497
8-6 Solving x^2 + bx + c = 0 Algebra Lab: Factoring Trinomials p.502
Exercises p.507
8-7 Solving ax^2 + bx + c = 0 Exercises p.513
8-8 Differences of Squares Exercises p.518
8-9 Perfect Squares Exercises p.526
Study Guide and Review p.530
Practice Test p.535
Standardized Test Practice p.538

Chapter 9

Quadratic Functions And Equations

9-1 Graphing Quadratic Functions Exercises p.549
Algebra Lab: Rate of Change of a Quadratic Function p.554
9-2 Solving Quadratic Equations by Graphing Exercises p.558
Graphing Technology Lab: Quadratic Inequalities p.561
9-3 Transformations of Quadratic Functions Graphing Technology Lab: Family of Quadratic Functions p.563
Exercises p.569
Graphing Technology Lab: Systems of Linear and Quadratic Equations p.573
9-4 Solving Quadratic Equations by Completing the Square Exercises p.576
Algebra Lab: Finding the Maximum or Minimum Value p.581
Mid-Chapter Quiz p.582
9-5 Solving Quadratic Equations by Using the Quadratic Formula Exercises p.587
9-6 Analyzing Functions with Successive Differences Exercises p.593
Graphing Technology Lab: Curve Fitting p.597
9-7 Special Functions Exercises p.601
Graphing Technology Lab: Piecewise-Linear Functions p.606
Study Guide and Review p.607
Practice Test p.611
Preparing for Standardized Tests p.613
Standardized Test Practice p.614

Chapter 10

Radical Functions And Geometry

10-1 Square Root Functions Algebra Lab: Inverse Functions p.620
Exercises p.624
Graphing Technology Lab: Graphing Square Root Functions p.627
10-2 Simplifying Radical Expressions Exercises p.631
10-3 Operations with Radical Expressions Algebra Lab: Rational and Irrational Numbers p.634
Exercises p.637
Algebra Lab: Simplifying nth Root Expressions p.641
10-4 Radical Equations Exercises p.644
Mid-Chapter Quiz p.647
10-5 The Pythagorean Theorem Exercises p.650
Algebra Lab: Distance on the Coordinate Plane p.654
10-6 Trigonometric Ratios Algebra Lab: Investigating Trigonometric Ratios p.655
Exercises p.659
Study Guide and Review p.663
Practice Test p.667
Preparing for Standardized Tests p.669
Standardized Test Practice p.671

Chapter 11

Rational Functions And Equations

11-1 Inverse Variation Graphing Technology Lab: Inverse Variation p.675
Exercises p.679
11-2 Rational Functions Graphing Technology Lab: Family of Rational Functions p.683
Exercises p.687
11-3 Simplifying Rational Expressions Exercises p.693
Graphing Technology Lab: Simplifying Rational Expressions p.697
11-4 Multiplying and Dividing Rational Expressions Exercises p.701
Mid-Chapter Quiz p.705
11-5 Dividing Polynomials Exercises p.708
11-6 Adding and Subtracting Rational Expressions Exercises p.716
11-7 Mixed Expressions and Complex Fractions Exercises p.723
11-8 Rational Equations Exercises p.730
Graphing Technology Lab: Graphing Rational Equations p.733
Study Guide and Review p.735
Practice Test p.739
Preparing for Standardized Tests p.741
Standardized Test Practice p.742

Chapter 12

Statistics And Probability

12-1 Samples and Studies Exercises p.751
Algebra Lab: Evaluating Published Data p.756
12-2 Statistics and Parameters Exercises p.760
12-3 Distributions of Data Exercises p.768
12-4 Comparing Sets of Data Exercises p.775
Mid-Chapter Quiz p.779
12-5 Simulation Exercises p.782
12-6 Permutations and Combinations Exercises p.789
12-7 Probability of Compound Events Exercises p.797
Algebra Lab: Two-Way Frequency Tables p.801
12-8 Probability Distributions Exercises p.806
Graphing Technology Lab: The Normal Curve p.811
Study Guide and Review p.812
Practice Test p.817
Preparing for Standardized Tests p.819
Standardized Test Practice p.820
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