# Intermediate Algebra For College Students with Integrated Review, 10th edition

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## Overview

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For courses in Intermediate Algebra.

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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**

Published by Pearson (June 15th 2018) - Copyright © 2019