## Overview

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*For courses in Intermediate Algebra.*

*This package includes MyLab Math.*

**Making math clear**

**The Angel/Runde author team has developed a text and MyLab™ program that uses short, concise sentences and clearly laid-out examples to ensure that all students develop a true understanding of algebra. In this revision, the authors retain this hallmark clarity of language to build the foundation of understanding algebra, while revamping exercise sets and creating new MyLab Math resources to give students a comprehensive learning and practice environment.**

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**Reach every student by pairing this text with MyLab Math**

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**0135215978 / 9780135215975 Intermediate Algebra for College Students with Integrated Review and Worksheets Plus MyLab Math - Access Card Package, 10/e**

**Package consists of:**

**0134758994 / 9780134758992 Intermediate Algebra for College Students****0135224497 / 9780135224496 Student Workbook for Intermediate Algebra for College Students with Integrated Review****0135231086 / 9780135231081 MyLab Math with Pearson eText - Standalone Access Card - for Intermediate Algebra for College Students with Integrated Review**

## Table of contents

**Chapter 1:** **Basic Concepts**

Integrated Review Topics:

- Identify which numbers belong to a set
- Addition of Real Numbers
- Subtraction of Real Numbers
- Multiplication and Division of Real Numbers
- Exponents, Parenthesis, and the Order of Operation

1.1 Study Skills for Success in Mathematics, and Using a Calculator

1.2 Sets and Other Basic Concepts

1.3 Properties of and Operations with Real Numbers

1.4 Order of Operations

Mid-Chapter Test: Sections 1.1–1.4

1.5 Exponents

1.6 Scientific Notation

**Chapter 2. Equations and Inequalities**

Integrated Review Topics:

- Combining Like Terms
- The Addition Property of Equality
- The Multiplication Property of Equality
- Solving Linear Equations with a Variable on Only Side of the Equation
- Solving Linear Equations with a Variables on Both Sides of the Equation
- Inequalities in One Variable

2.1 Solving Linear Equations

2.2 Problem Solving and Using Formulas

2.3 Applications of Algebra

Mid-Chapter Test: Sections 2.1–2.3

2.4 Additional Application Problems

2.5 Solving Linear Inequalities

2.6 Solving Equations and Inequalities Containing Absolute Values

**Chapter 3. Graphs and Functions**

Integrated Review Topics:

- The Cartesian Coordinate System and Linear Equations in Two Variables
- The Slope of a Line
- Slope-Intercept Form and Point-Slope Forms of a Linear Equation
- Graphing Linear Equations
- Functions

3.1 Graphs

3.2 Functions

3.3 Linear Functions: Graphs and Applications

3.4 The Slope-Intercept Form of a Linear Equation

Mid-Chapter Test: Sections 3.1–3.4

3.5 The Point-Slope Form of a Linear Equation

3.6 The Algebra of Functions

3.7 Graphing Linear Inequalities

**Chapter 4. Systems of Equations and Inequalities**

Integrated Review Topics:

- Solving Systems of Equations Graphically
- Solving Systems of Equations by Addition
- Solving Systems of Equations by Substitution

4.1 Solving Systems of Linear Equations in Two Variables

4.2 Solving Systems of Linear Equations in Three Variables

4.3 Systems of Linear Equations: Applications and Problem Solving

Mid-Chapter Test: Sections 4.1–4.3

4.4 Solving Systems of Equations Using Matrices

4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule

4.6 Solving Systems of Linear Inequalities

**Chapter 5. Polynomials and Polynomial Functions**

Integrated Review Topics:

- Factoring Trinomials of the form ax
^{2}+bx+c, a=1 - Factoring Trinomials of the form ax
^{2}+bx+c, a is not equal to 1 - Special Factoring Formulas and a General Review of Factoring
- Solving Quadratic Equations Using Factoring
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Division of Polynomials and Synthetic Division

5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping

Mid-Chapter Test: Sections 5.1–5.4

5.5 Factoring Trinomials

5.6 Special Factoring Formulas

5.7 A General Review of Factoring

5.8 Polynomial Equations

**Chapter 6. Rational Expressions and Equations**

Integrated Review Topics:

- Fractions
- Factoring Trinomials of the form ax
^{2}+bx+c, a=1 - Factoring Trinomials of the form ax
^{2}+bx+c, a=1

6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions

6.2 Addition and Subtraction of Rational Expressions

6.3 Complex Fractions

6.4 Solving Rational Equations

Mid-Chapter Test: Sections 6.1–6.4

6.5 Rational Equations: Applications and Problem Solving

6.6 Variation

**Chapter 7. Roots, Radicals, and Complex Numbers**

Integrated Review Topics:

- Evaluating Square Roots
- Simplifying Square Roots
- Adding, Subtracting and Multiplying Square Roots
- Solving Radical Equations
- Higher Roots and Rational Exponents
- Complex Numbers

7.1 Roots and Radicals

7.2 Rational Exponents

7.3 Simplifying Radicals

7.4 Adding, Subtracting, and Multiplying Radicals

Mid-Chapter Test: Sections 7.1–7.4

7.5 Dividing Radicals

7.6 Solving Radical Equations

7.7 Complex Numbers

**Chapter 8. Quadratic Functions**

Integrated Review Topics:

- Solve Quadratic Equations Using Factoring
- Solving Quadratic Equations by the Quadratic Formula
- Graphing Quadratic Functions

8.1 Solving Quadratic Equations by Completing the Square

8.2 Solving Quadratic Equations by the Quadratic Formula

8.3 Quadratic Equations: Applications and Problem Solving

Mid-Chapter Test: Sections 8.1–8.3

8.4 Writing Equations in Quadratic Form

8.5 Graphing Quadratic Functions

8.6 Quadratic and Other Inequalities in One Variable

**Chapter 9. Exponential and Logarithmic Functions**

Integrated Review Topics:

- Exponents
- Negative Exponents

9.1 Composite and Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

Mid-Chapter Test: Sections 9.1–9.4

9.5 Common Logarithms

9.6 Exponential and Logarithmic Equations

9.7 Natural Exponential and Natural Logarithmic Functions

**Chapter 10. Conic Sections**

Integrated Review Topics:

- Graphing Quadratic Functions
- Solve Systems of equations by the Addition Method

10.1 The Parabola and the Circle

10.2 The Ellipse

Mid-Chapter Test: Sections 10.1–10.2

10.3 The Hyperbola

10.4 Nonlinear Systems of Equations and Their Applications

**Chapter 11. Sequences, Series, and the Binomial Theorem**

Integrated Review Topics:

- Exponents, Parentheses, and Order of Operations
- Multiplication of Polynomials

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

Mid-Chapter Test: Sections 11.1–11.3

11.4 The Binomial Theorem

**Appendix: Geometric Formulas**

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