# Algebra 1: Integration, Applications, Connections

ISBN: 9780028248462
Author: Glencoe McGraw-Hill
Published: 1997

## Chapters: 12345678910111213

### Chapter 1

Exploring Expressions, Equations, And Functions

 1-1 Variables and Expressions Check For Understanding p.9 Exercises p.9 1-2 Patterns and Sequences Check For Understanding p.15 Exercises p.16 1-3 Order of Operations Exercises p.22 Check For Understanding p.22 1-4 Integration: Statistics – Stem-and-Leaf-Plots Check For Understanding p.28 Exercises p.29 1-5 Open Sentences Check For Understanding p.34 Exercises p.35 Exercises p.35 1-6 Identity and Equality Properties Check For Understanding p.40 Exercises p.42 1-7 The Distributive Property Check For Understanding p.48 Exercises p.49 1-8 Commutative and Associative Properties Check For Understanding p.53 Exercises p.54 1-9 A Preview of Graphs and Functions Check For Understanding p.59 Exercises p.60 Study Guide and Assessment p.64

### Chapter 2

Exploring Rational Numbers

 2-1 Integers and the Number Line Check For Understanding p.74 Exercises p.75 2-2 Integration: Statistics – Line Plots Check For Understanding p.80 Exercises p.80 2-3 Adding and Subtracting Integers Check For Understanding p.89 Exercises p.90 2-4 Rational Numbers Check For Understanding p.96 Exercises p.97 2-5 Adding and Subtracting Rational Numbers Check For Understanding p.102 Exercises p.103 2-6 Multiplying Rational Numbers Check For Understanding p.108 Exercises p.109 2-7 Dividing Rational Numbers Exercises p.115 Check For Understanding p.115 2-8 Square Roots and Real Numbers Check For Understanding p.122 Exercises p.123 2-9 Problem Solving: Writing Equations and Formulas Check For Understanding p.129 Exercises p.130 Study Guide and Assessment p.133 Cumulative Review p.138

### Chapter 3

Solving Linear Equations

 3-1 Solving Equations by Using Addition and Subtraction Check For Understanding p.148 Exercises p.148 3-2 Solving Equations by Using Multiplication and Division Check For Understanding p.152 Exercises p.153 3-3 Solving Multi-Step Equations Check For Understanding p.159 Exercises p.160 3-4 Integration: Geometry – Angles and Triangles Check For Understanding p.165 Exercises p.166 3-5 Solving Equations with the Variable on Both Sides Check For Understanding p.170 Exercises p.171 3-6 Solving Equations and Formulas Exercises p.175 Check For Understanding p.175 3-7 Integration: Statistics – Measures of Central Tendency Exercises p.181 Exercises p.182 Study Guide and Assessment p.186

### Chapter 4

Using Proportional Reasoning

 4-1 Ratios and Proportions Check For Understanding p.198 Exercises p.199 4-2 Integration: Geometry – Similar Triangles Check For Understanding p.203 Exercises p.204 4-3 Integration: Trigonometry – Trigonometric Ratios Check For Understanding p.210 Exercises p.211 4-4 Percents Exercises p.218 Check For Understanding p.218 4-5 Percent of Change Check For Understanding p.224 Exercises p.225 4-6 Integration: Probability – Probability and Odds Check For Understanding p.230 Exercises p.231 4-7 Weighted Averages Check For Understanding p.236 Exercises p.237 4-8 Direct and Inverse Variation Check For Understanding p.242 Exercises p.243 Study Guide and Assessment p.245 Cumulative Review p.250

### Chapter 5

Graphing Relations And Functions

 5-1 The Coordinate Plane Exercises p.257 Check For Understanding p.257 5-2A Graphing Technology: Relations Exercises p.261 5-2 Relations Check For Understanding p.266 Exercises p.267 5-3A Graphing Technology: Equations Exercises p.270 5-3 Equations as Relations Check For Understanding p.274 Exercises p.275 5-4A Graphing Technology: Linear Relations and Functions Exercises p.279 5-4 Graphing Linear Equations Exercises p.283 Check For Understanding p.283 5-5 Functions Check For Understanding p.291 Exercises p.292 5-6 Writing Equations from Patterns Check For Understanding p.298 Exercises p.299 5-7A Graphing Technology: Measures of Variation Exercises p.304 5-7 Integration: Statistics – Measures of Variation Check For Understanding p.309 Exercises p.310 Study Guide and Assessment p.315

### Chapter 6

Analyzing Linear Equations

 6-1 Slope Check For Understanding p.328 Exercises p.329 6-2 Writing Linear Equations in Point-Slope and Standard Forms Check For Understanding p.335 Exercises p.336 6-3 Integration: Statistics – Scatter Plots and Best-Fit Lines Exercises p.343 Check For Understanding p.343 6-4 Writing Linear Equations in Slope-Intercept Form Check For Understanding p.349 Exercises p.350 6-5A Graphing Technology: Families of Linear Graph Exercises p.355 6-5 Graphing Linear Equations Check For Understanding p.359 Exercises p.359 6-6 Integration: Geometry – Parallel and Perpendicular Lines Check For Understanding p.366 Exercises p.367 6-7 Integration: Geometry – Midpoint of a Line Segment Check For Understanding p.371 Exercises p.372 Study Guide and Assessment p.375 Cumulative Review p.380

### Chapter 7

Solving Linear Equations

 7-1 Solving Inequalities by Using Addition and Subtraction Check For Understanding p.387 Exercises p.388 7-2 Solving Inequalities by Using Multiplication and Division Check For Understanding p.395 Exercises p.396 7-3 Solving Multi-Step Inequalities Exercises p.402 Check For Understanding p.402 7-4 Solving Compound Inequalities Check For Understanding p.409 Exercises p.410 7-5 Integration: Probability – Compound Events Check For Understanding p.415 Exercises p.416 7-6 Solving Open Sentences Involving Absolute Value Check For Understanding p.423 Exercises p.424 7-7 Integration: Statistics – Box-and-Whisker Plots Check For Understanding p.429 Exercises p.430 7-7B Graphing Technology: Box-and-Whisker Plots Exercises p.434 7-8A Graphing Technology: Graphing Inequalities Exercises p.435 7-8 Graphing Inequalities in Two Variables Exercises p.439 Check For Understanding p.439 Study Guide and Assessment p.443

### Chapter 8

Solving Systems Of Linear Equations And Inequalities

 8-1A Graphing Technology: Systems of Equations Exercises p.453 8-1 Graphing Systems of Equations Check For Understanding p.458 Exercises p.459 8-2 Substitution Check For Understanding p.466 Exercises p.467 8-3 Elimination Using Addition and Subtraction Exercises p.472 Check For Understanding p.472 8-4 Elimination Using Multiplication Check For Understanding p.478 Exercises p.479 8-5 Graphing Systems of Inequalities Check For Understanding p.484 Exercises p.485 Study Guide and Assessment p.487 Cumulative Review p.492

### Chapter 9

Exploring Polynomials

 9-1 Multiplying Monomials Exercises p.499 Check For Understanding p.499 9-2 Dividing by Monomials Check For Understanding p.503 Exercises p.504 9-3 Scientific Notation Exercises p.509 Check For Understanding p.509 9-4 Polynomals Check For Understanding p.516 Exercises p.517 9-5 Adding and Subtracting Polynomials Check For Understanding p.524 Exercises p.525 9-6 Multiplying a Polynomial by a Monomial Check For Understanding p.531 Exercises p.532 9-7 Multiplying Polynomials Check For Understanding p.538 Exercises p.539 9-8 Special Products Check For Understanding p.546 Exercises p.546 Study Guide and Assessment p.549

### Chapter 10

Using Factoring

 10-1 Factors and Greatest Common Factor Exercises p.561 Check For Understanding p.561 10-2 Factoring Using the Distributive Property Check For Understanding p.568 Exercises p.569 10-3 Factoring Trinomals Check For Understanding p.578 Exercises p.579 10-4 Factoring Differences of Squares Check For Understanding p.584 Exercises p.584 10-5 Perfect Squares and Factoring Exercises p.591 Check For Understanding p.591 10-6 Solving Equations by Factoring Check For Understanding p.598 Exercises p.598 Study Guide and Assessment p.601 Cumulative Review p.606

### Chapter 11

 11-1A Graphing Technology: Quadratic Functions Exercises p.610 11-1 Graphing Quadratic Functions Check For Understanding p.614 Exercises p.615 11-1B Graphing Technology: Families of Parabolas Exercises p.619 11-2 Solving Quadratic Equations by Graphing Check For Understanding p.624 Exercises p.625 11-3 Solving Quadratic Equations by Using the Quadratic Formula Exercises p.631 Check For Understanding p.631 11-4A Graphing Technology: Exponential Functions Exercises p.634 11-4 Exponential Functions Check For Understanding p.640 Exercises p.640 11-5 Growth and Decay Check For Understanding p.646 Exercises p.647 Study Guide and Assessment p.651

### Chapter 12

Exploring Rational Expressions And Equations

 12-1 Simplifying Rational Expressions Check For Understanding p.663 Exercises p.664 12-1B Graphing Technology: Rational Expressions Exercises p.666 12-2 Multiplying Rational Expressions Check For Understanding p.668 Exercises p.669 12-3 Dividing Rational Expressions Check For Understanding p.672 Exercises p.673 12-4 Diving Polynomials Check For Understanding p.678 Exercises p.679 12-5 Rational Expressions with Like Denominators Exercises p.683 Check For Understanding p.683 12-6 Rational Expressions with Unlike Denominators Exercises p.687 Check For Understanding p.687 12-7 Mixed Expressions and Complex Fractions Exercises p.693 Check For Understanding p.693 12-8 Solving Rational Equations Check For Understanding p.699 Exercises p.700 Study Guide and Assessment p.703 Cumulative Review p.708