Beginning Algebra, 1st edition

Published by Pearson (February 21, 2011) © 2012

  • Kirk Trigsted University of Idaho
  • Kevin Bodden
  • Randall Gallaher
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R. Review

R.1 Operations on Fractions

R.2 Decimals and Percents

1. Real Numbers and Algebraic Expressions

1.1 The Real Number System

1.2 Adding and Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents and Order of Operations

1.5 Variables and Properties of Real Numbers

1.6 Simplifying Algebraic Expressions

2. Linear Equations and Inequalities in One Variable

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving Linear Equations in One Variable

2.3 Introduction to Problem Solving

2.4 Formulas

2.5 Geometry and Uniform Motion Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities in One Variable

3. Graphs of Linear Equations and Inequalities in Two Variables

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations in Two Variables

3.3 Slope

3.4 Equations of Lines

3.5 Linear Inequalities in Two Variables

4. Systems of Linear Equ ations and Inequalities

4.1 Solve Systems of Linear Equations by Graphing

4.2 Solve Systems of Linear Equations by Substitution

4.3 Solve Systems of Linear Equations by Elimination

4.4 Applications of Linear Systems

4.5 Systems of Linear Inequalities

5. Exponents and Polynomials

5.1 Exponents

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Multiplying Polynomials

5.5 Special Products

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

5.8 Polynomials with Several Variables

6. Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c Using Trial and Error

6.4 Factoring Trinomials of the Form ax2 + bx + c Using the ac Method

6.5 Factoring Special Forms

6.6 A General Factoring Strategy

6.7 Solving Polynomial Equations by Factoring

6.8 Applications of Quadratic Equations

7. Rational Expressions and Equations

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Rational Expressions

7.6 Solving Rational Equations

7.7 Applications of Rational Equations

7.8 Variation

8. Radicals and Rational Exponents

8.1 Finding Roots

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radical Expressions

8.4 Multiplying and Dividing Radicals; Rationalizing Denominators

8.5 Solving Radical Equations

8.6 Rational Exponents

8.7 Complex Numbers

9. Quadratic Equations

9.1 Solving Quadratic Equations Using the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations Using the Quadratic Formula

9.4 Graphs of Quadratic Equations

Appendix A. Relations and Functions

Appendix B. Mean, Median, Mode

Appendix C. Geometry Review

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