# Algebra 1, Common Core iBook Algebra 1, Common Core iBook Common Core iBook | ISBN: 9780076635269 / 0076635260

2,990

expert-verified solutions in this book  Common Core iBook | ISBN: 9780076635269 / 0076635260

2,990

expert-verified solutions in this book

## Table of Contents

### Chapter 0

Preparing For Algebra

 0-1 Plan for Problem Solving Exercises p.7 0-3 Operations with Integers Exercises p.20 0-4 Adding and Subtracting Rational Numbers Exercises p.29 0-5 Multiplying and Dividing Rational Number Exercises p.34 0-6 The Percent Proportion Exercises p.40 0-7 Perimeter Exercises p.48 0-8 Area Exercises p.54 0-9 Volume Exercises p.58 0-10 Surface Area Exercises p.62 0-11 Simple Probability and Odds Exercises p.70 0-13 Representing Data Exercises p.90 Posttest p.94

### Chapter 1

Expressions, Equations, And Functions

 1-1 Variables and Expressions Exercises p.105 1-2 Order of Operations Exercises p.119 1-3 Properties of Numbers Exercises p.135 1-4 The Distributive Property Exercises p.156 Mid-Chapter Quiz p.163 1-5 Equations Exercises p.171 1-6 Relations Exercises p.187 1-7 Functions Exercises p.205 1-8 Interpreting Graphs of Functions Exercises p.223 Study Guide and Review p.232 Practice Test p.241 Preparing for Standardized Tests p.245 Standardized Test Practice p.246

### Chapter 2

Linear Equations

 2-1 Writing Equations Exercises p.258 2-2 Solving One-Step Equtions Exercises p.277 2-3 Solving Multi-Step Equations Exercises p.293 2-4 Solving Equations with the Variable on Each Side Exercises p.307 2-5 Solving Equations Involving Absolute Value Exercises p.320 Mid-Chapter Quiz p.329 2-6 Ratios and Proportions Exercises p.339 12-7 Probability of Compound Events Exercises p.354 2-8 Literal Equations and Dimensional Analysis Exercises p.370 2-9 Weighted Averages Exercises p.387 Study Guide and Review p.396 Practice Test p.406 Preparing for Standardized Tests p.410 Standardized Test Practice p.411

### Chapter 3

Linear Functions

 3-1 Graphing Linear Equations Exercises p.429 3-2 Solving Linear Equations by Graphing Exercises p.445 3-3 Rate of Change and Slope Exercises p.470 Mid-Chapter Quiz p.480 3-4 Direct Variation Exercises p.489 3-5 Arithmetic Sequences as Linear Functions Exercises p.507 Algebra Lab: Inductive and Deductive Reasoning p.515 3-6 Proportional and Nonproportional Relationships Exercises p.523 Study Guide and Review p.531 Practice Test p.538 Preparing for Standardized Tests p.541 Standardized Test Practice p.543

### Chapter 4

Equations Of Linear Functions

 4-1 Graphing Equations in Slope-Intercept Form Exercises p.560 4-2 Writing Equations in Slope-Intercept Form Exercises p.582 4-3 Writing Equations in Point-Slope Form Exercises p.598 4-4 Parallel and Perpendicular Lines Exercises p.614 Mid-Chapter Quiz p.624 4-5 Scatter Plots and Lines of Fit Exercises p.633 Algebra Lab: Correlation and Causation p.643 4-6 Regression and Median-Fit Lines Exercises p.653 4-7 Inverse Linear Functions Exercises p.671 Study Guide and Review p.684 Practice Test p.692 Preparing for Standardized Tests p.696 Standardized Test Practice p.697

### Chapter 5

Linear Inequalities

 5-1 Solving Inequalities by Addition and Subtraction Exercises p.708 5-2 Solving Inequalities by Multiplication and Division Exercises p.723 5-3 Solve Multi-Step Inequalities Exercises p.736 Mid-Chapter Quiz p.744 5-4 Solving Compound Inequalities Algebra Lab: Reading Compound Statements p.747 Exercises p.753 5-5 Inequalities Involving Absolute Value Exercises p.766 5-6 Graphing Inequalities in Two Variables Exercises p.781 Graphing Technology Lab: Graphing Inequalities p.790 Study Guide and Review p.792 Practice Test p.799 Preparing for Standardized Tests p.803 Standardized Test Practice p.804

### Chapter 6

Systems Of Linear Equations And Inequalities

 6-1 Graphing Systems of Equations Exercises p.817 Graphing Technology Lab: Systems of Equations p.829 6-2 Substitution Exercises p.838 6-3 Elimination Using Addition and Subtraction Exercises p.854 6-4 Elimination Using Multiplication Exercises p.866 Mid-Chapter Quiz p.874 6-5 Applying Systems of Linear Equations Exercises p.883 6-6 Systems of Inequalities Exercises p.899 Graphing Technology Lab: Systems of Inequalities p.907 Study Guide and Review p.909 Practice Test p.916 Preparing for Standardized Tests p.920 Standardized Test Practice p.921

### Chapter 7

Exponents And Exponential Functions

 7-1 Multiplication Properties of Exponents Exercises p.934 7-2 Division Properties of Exponents Exercises p.953 7-3 Rational Exponents Exercises p.969 7-4 Scientific Notation Exercises p.984 Mid-Chapter Quiz p.993 7-5 Exponential Functions Graphing Technology Lab: Family of Exponential Functions p.998 Exercises p.1006 Graphing Technology Lab: Solving Exponential Equations and Inequalities p.1015 7-6 Growth and Decay Exercises p.1024 Algebra Lab: Transforming Exponential Expressions p.1032 7-7 Geometric Sequences as Exponential Functions Exercises p.1040 Algebra Lab: Average Rate of Change of Exponential Functions p.1049 7-8 Recursive Formulas Exercises p.1057 Study Guide and Review p.1065 Practice Test p.1072 Preparing for Standardized Tests p.1076 Standardized Test Practice p.1077

### Chapter 8

Factoring And Quadratic Equations

 8-1 Adding and Subtracting Polynomials Algebra Lab: Adding and Subtracting Polynomials p.1085 Exercises p.1095 8-2 Multiplying a Polynomial by a Monomial Exercises p.1112 8-3 Multiplying Polynomials Algebra Lab: Multiplying Polynomials p.1123 Exercises p.1132 8-4 Special Products Exercises p.1145 Mid-Chapter Quiz p.1154 8-5 Using the Distributive Property Algebra Lab: Factoring Using the Distributive Property p.1157 Exercises p.1166 8-6 Solving x^2 + bx + c = 0 Algebra Lab: Factoring Trinomials p.1178 Exercises p.1187 8-7 Solving ax^2 + bx + x = 0 Exercises p.1201 8-8 Differences of Squares Exercises p.1214 8-9 Perfect Squares Exercises p.1232 Study Guide and Review p.1241 Practice Test p.1251 Standardized Test Practice p.1258

### Chapter 9

Quadratic And Exponential Functions

 9-1 Graphing Quadratic Functions Exercises p.1276 Algebra Lab: Rate of Change of a Quadratic Function p.1289 9-2 Solving Quadratic Equations by Graphing Exercises p.1297 Graphing Technology Lab: Quadratic Inequalities p.1306 9-3 Transformations of Quadratic Functions Graphing Technology Lab: Family of Quadratic Functions p.1310 Exercises p.1323 Graphing Technology Lab: Systems of Linear and Quadratic Equations p.1335 9-4 Solving Quadratic Equations by Completing the Square Exercises p.1342 Algebra Lab: Finding the Maximum or Minimum Value p.1351 Mid-Chapter Quiz p.1353 9-5 Solving Quadratic Equations by Using the Quadratic Formula Exercises p.1364 9-6 Analyzing Functions with Successive Differences and Ratios Exercises p.1379 Graphing Technology Lab: Curve Fitting p.1391 9-7 Special Functions Exercises p.1399 Graphing Technology Lab: Piecewise-Linear Functions p.1412 Study Guide and Review p.1414 Practice Test p.1422 Preparing for Standardized Tests p.1426 Standardized Test Practice p.1427

### Chapter 10

Radical Functions And Geometry

 10-1 Square Root Functions Algebra Lab: Inverse Functions p.1437 Exercises p.1445 Graphing Technology Lab: Graphing Square Root Functions p.1453 10-2 Simplifying Radical Expressions Exercises p.1460 10-3 Operations with Radical Expressions Algebra Lab: Rational and Irrational Numbers p.1470 Exercises p.1477 Algebra Lab: Simplifying nth Root Expressions p.1486 10-4 Radical Equations Exercises p.1492 Mid-Chapter Quiz p.1499 10-5 The Pythagorean Theorem Exercises p.1506 Algebra Lab: Distance on the Coordinate Plane p.1516 10-6 Trigonometric Ratios Algebra Lab: Investigating Trigonometric Ratios p.1518 Exercises p.1526 Study Guide and Review p.1537 Practice Test p.1544 Preparing for Standardized Tests p.1548 Standardized Test Practice p.1549

### Chapter 11

Rational Functions And Equations

 11-1 Inverse Variation Graphing Technology Lab: Inverse Variation p.1554 Exercises p.1563 11-2 Rational Functions Graphing Technology Lab: Family of Rational Functions p.1573 Exercises p.1581 11-3 Simplifying Rational Expressions Exercises p.1595 Graphing Technology Lab: Simplifying Rational Expressions p.1605 11-4 Multiplying and Dividing Rational Expressions Exercises p.1612 Mid-Chapter Quiz p.1622 11-5 Dividing Polynomials Exercises p.1630 11-6 Adding and Subtracting Rational Expressions Exercises p.1647 11-7 Mixed Expressions and Complex Functions Exercises p.1663 11-8 Rational Equations Exercises p.1679 Graphing Technology Lab: Graphing Rational Equations p.1687 Study Guide and Review p.1691 Practice Test p.1700 Preparing for Standardized Tests p.1705 Standardized Test Practice p.1707

### Chapter 12

Statistics And Probability

 12-1 Samples and Studies Exercises p.1722 Algebra Lab: Evaluating Published Data p.1735 12-2 Statistics and Parameters Exercises p.1745 12-3 Distributions of Data Exercises p.1764 12-4 Comparing Sets of Data Exercises p.1781 Mid-Chapter Quiz p.1790 12-5 Simulations Exercises p.1799 12-6 Permutations and Combinations Exercises p.1817 12-7 Probability of Compound Events Exercises p.1835 Algebra Lab: Two-Way Frequency Tables p.1845 12-8 Probability Distributions Exercises p.1855 Graphing Technology Lab: The Normal Curve p.1869 Study Guide and Review p.1872 Practice Test p.1881 Preparing for Standardized Tests p.1887 Standardized Test Practice p.1888
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