  # Elementary and Intermediate Algebra for College Students, 5th edition

• Allen R. Angel,
• Dennis Runde

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## Overview

Elementary and Intermediate Algebra for College Students uses short, concise sentences and clearly laid-out examples to help you build a foundation for understanding algebra. This title provides the clarity, motivation and understanding you need to master algebra.

ISBN-13: 9780137526222

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

• Preface
• To the Student
1. Real Numbers
• 1.1 Study Skills for Success in Mathematics
• 1.2 Problem Solving
• 1.3 Fractions
• 1.4 The Real Number System
• 1.5 Inequalities
• Mid-Chapter Test: Sections 1.1—1.5
• 1.6 Addition of Real Numbers
• 1.7 Subtraction of Real Numbers
• 1.8 Multiplication and Division of Real Numbers
• 1.9 Exponents, Parentheses, and the Order of Operations
• 1.10 Properties of the Real Number System
• Chapter 1 Summary
• Chapter 1 Review Exercises
• Chapter 1 Practice Test
2. Solving Linear Equations and Inequalities
• 2.1 Combining Like Terms
• 2.2 The Addition Property of Equality
• 2.3 The Multiplication Property of Equality
• 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
• Mid-Chapter Test: Sections 2.1—2.4
• 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
• 2.6 Formulas
• 2.7 Ratios and Proportions
• 2.8 Inequalities in One Variable
• Chapter 2 Summary
• Chapter 2 Review Exercises
• Chapter 2 Practice Test
• Cumulative Review Test
3. Applications of Algebra
• 3.1 Changing Application Problems into Equations
• 3.2 Solving Application Problems
• Mid-Chapter Test: Sections 3.1—3.2
• 3.3 Geometric Problems
• 3.4 Motion, Money, and Mixture Problems
• Chapter 3 Summary
• Chapter 3 Review Exercises
• Chapter 3 Practice Test
• Cumulative Review Test
4. Graphing Linear Equations
• 4.1 The Cartesian Coordinate System and Linear Equations in Two Variables
• 4.2 Graphing Linear Equations
• 4.3 Slope of a Line
• Mid-Chapter Test: Sections 4.1—4.3
• 4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
• Chapter 4 Summary
• Chapter 4 Review Exercises
• Chapter 4 Practice Test
• Cumulative Review Test
5. Exponents and Polynomials
• 5.1 Exponents
• 5.2 Negative Exponents
• 5.3 Scientific Notation
• Mid-Chapter Test: Sections 5.1—5.3
• 5.4 Addition and Subtraction of Polynomials
• 5.5 Multiplication of Polynomials
• 5.6 Division of Polynomials
• Chapter 5 Summary
• Chapter 5 Review Exercises
• Chapter 5 Practice Test
• Cumulative Review Test
6. Factoring
• 6.1 Factoring a Monomial from a Polynomial
• 6.2 Factoring by Grouping
• 6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1
• 6.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1
• Mid-Chapter Test: Sections 6.1—6.4
• 6.5 Special Factoring Formulas and a General Review of Factoring
• 6.6 Solving Quadratic Equations Using Factoring
• 6.7 Applications of Quadratic Equations
• Chapter 6 Summary
• Chapter 6 Review Exercises
• Chapter 6 Practice Test
• Cumulative Review Test
7. Rational Expressions and Equations
• 7.1 Simplifying Rational Expressions
• 7.2 Multiplication and Division of Rational Expressions
• 7.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
• 7.4 Addition and Subtraction of Rational Expressions
• Mid-Chapter Test: Sections 7.1—7.4
• 7.5 Complex Fractions
• 7.6 Solving Rational Equations
• 7.7 Rational Equations: Applications and Problem Solving
• 7.8 Variation
• Chapter 7 Summary
• Chapter 7 Review Exercises
• Chapter 7 Practice Test
• Cumulative Review Test
8. Functions and Their Graphs
• 8.1 More on Graphs
• 8.2 Functions
• 8.3 Linear Functions
• Mid-Chapter Test: Sections 8.1—8.3
• 8.4 Slope, Modeling, and Linear Relationships
• 8.5 The Algebra of Functions
• Chapter 8 Summary
• Chapter 8 Review Exercises
• Chapter 8 Practice Test
• Cumulative Review Test
9. Systems of Linear Equations
• 9.1 Solving Systems of Equations Graphically
• 9.2 Solving Systems of Equations by Substitution
• 9.3 Solving Systems of Equations by the Addition Method
• 9.4 Solving Systems of Linear Equations in Three Variables
• Mid-Chapter Test: Sections 9.1—9.4
• 9.5 Systems of Linear Equations: Applications and Problem Solving
• 9.6 Solving Systems of Equations Using Matrices
• 9.7 Solving Systems of Equations Using Determinants and Cramer’s Rule
• Chapter 9 Summary
• Chapter 9 Review Exercises
• Chapter 9 Practice Test
• Cumulative Review Test
10. Inequalities in One and Two Variables
• 10.1 Solving Linear Inequalities in One Variable
• 10.2 Solving Equations and Inequalities Containing Absolute Values
• Mid-Chapter Test: Sections 10.1—10.2
• 10.3 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
• Chapter 10 Summary
• Chapter 10 Review Exercises
• Chapter 10 Practice Test
• Cumulative Review Test
11. Roots, Radicals, and Complex Numbers
• 11.2 Rational Exponents
• Mid-Chapter Test: Sections 11.1—11.4
• 11.7 Complex Numbers
• Chapter 11 Summary
• Chapter 11 Review Exercises
• Chapter 11 Practice Test
• Cumulative Review Test
• 12.1 Solving Quadratic Equations by Completing the Square
• 12.3 Quadratic Equations: Applications and Problem Solving
• Mid-Chapter Test: Sections 12.1—12.3
• 12.4 Factoring Expressions and Solving Equations That Are Quadratic in Form
• 12.6 Quadratic, Polynomial, and Rational Inequalities in One Variable
• Chapter 12 Summary
• Chapter 12 Review Exercises
• Chapter 12 Practice Test
• Cumulative Review Test
13. Exponential and Logarithmic Functions
• 13.1 Composite and Inverse Functions
• 13.2 Exponential Functions
• 13.3 Logarithmic Functions
• 13.4 Properties of Logarithms
• Mid-Chapter Test: Sections 13.1—13.4
• 13.5 Common Logarithms
• 13.6 Exponential and Logarithmic Equations
• 13.7 Natural Exponential and Natural Logarithmic Functions
• Chapter 13 Summary
• Chapter 13 Review Exercises
• Chapter 13 Practice Test
• Cumulative Review Test
14. Conic Sections
• 14.1 The Parabola and the Circle
• 14.2 The Ellipse
• Mid-Chapter Test: Sections 14.1—14.2
• 14.3 The Hyperbola
• 14.4 Nonlinear Systems of Equations and Their Applications
• Chapter 14 Summary
• Chapter 14 Review Exercises
• Chapter 14 Practice Test
• Cumulative Review Test
15. Sequences, Series, and the Binomial Theorem
• 15.1 Sequences and Series
• 15.2 Arithmetic Sequences and Series
• 15.3 Geometric Sequences and Series
• Mid-Chapter Test: Sections 15.1—15.3
• 15.4 The Binomial Theorem
• Chapter 15 Summary
• Chapter 15 Review Exercises
• Chapter 15 Practice Test
• Cumulative Review Test

### Appendices

1. Review of Decimals and Percent
2. Finding the Greatest Common Factor and Least Common Denominator
3. Geometry
4. Review of Exponents, Polynomials, and Factoring

#### Subject Index

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