# Introductory Algebra

3^{rd}Edition

ISBN10: 0073384542

ISBN13: 9780073384542

Copyright: 2015

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### Program Details

# Introductory Algebra, 3rd Edition

## R Reference

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

## 1 The Set of Real Numbers

1.1 Introduction to Algebra and the Set of Real Numbers

1.2 Exponents, Square Roots, and the Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

## 2 Linear Equations and Inequalities

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

PRE: Equations and Expressions

2.4 Applications of Linear Equations:Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Literal Equations and Applications of Geometry

2.7 Mixture Applications and Uniform Motion

2.8 Linear Inequalities

Group Activity: Computing Body Mass Index (BMI)

## 3 Graphing Linear Equations in Two Variables

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line and Rate of Change

3.4 Slope-Intercept Form of a Linear Equation

PRE: Linear Equations in Two Variables 3.5 Point-Slope Formula

3.6 Applications of Linear Equations and Modeling

Group Activity: Modeling a Linear Equation

## 4 Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition Method

PRE: Systems of Equations

4.4 Applications of Linear Inequalities in Two Variables

4.5 Linear Inequalities and Systems of Inequalities in Two Variables

Group Activity: Creating Linear Models from Data

## 5 Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases

5.2 More Properties of Exponents

5.3 Definitions of b^0 and b^-n

PRE: Properties of Exponents

5.4 Scientific Notation

5.5 Addition and Subtraction of Polynomials

5.6 Multiplication of Polynomials and Special Products

5.7 Division of Polynomials

PRE: Operations on Polynomials

Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

## 6 Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x^2 + bx + c

6.3 Factoring Trinomials: Trial and Error Method

6.4 Factoring Trinomials: A-C Method

6.5 Difference of Squares and Perfect Square Trinomials

6.6 Sum and Difference of Cubes

PRE: Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule

PRE: Polynomial Expressions versus Polynomial Equations

6.8 Applications of Quadratic Equations

Group Activity: Building a Factoring Test

## 7 Rational Expressions and Equations

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Least Common Denominator

7.4 Addition and Subtraction of Rational Expressions

PRE: Operations on Rational Expressions

7.5 Complex Fractions

7.6 Rational Equations

PRE: Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions 7.8 Variation

Group Activity: Computing Monthly Mortgage Payments

## 8 Radicals

8.1 Introduction to Roots and Radicals

8.2 Simplifying Radicals

8.3 Addition and Subtraction of Radicals

8.4 Multiplication of Radicals

8.5 Division of Radicals and Rationalisation

PRE: Operations on Radicals

8.6 Radicals Equations

8.7 Rational Exponents

Group Activity: Calculating Standard Deviation

## 9 More Quadratic Equations

9.1 The Square Root Property

9.2 Completing the Square

9.3 Quadratic Formula

PRE: Solving Different Types of Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Group Activity: Maximising Volume

## Additional Topics Appendix

A.1 Converting Units of Measurement

# Introductory Algebra, 3rd Edition

## R Reference

R.1 Study Tips

R.2 Fractions

R.3 Decimals and Percents

R.4 Introduction to Geometry

## 1 The Set of Real Numbers

1.1 Introduction to Algebra and the Set of Real Numbers

1.2 Exponents, Square Roots, and the Order of Operations

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

PRE: Addition and Subtraction of Real Numbers

1.5 Multiplication and Division of Real Numbers

1.6 Properties of Real Numbers and Simplifying Expressions

Group Activity: Evaluating Formulas Using a Calculator

## 2 Linear Equations and Inequalities

2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality

2.2 Solving Linear Equations

2.3 Linear Equations: Clearing Fractions and Decimals

PRE: Equations and Expressions

2.4 Applications of Linear Equations:Introduction to Problem Solving

2.5 Applications Involving Percents

2.6 Literal Equations and Applications of Geometry

2.7 Mixture Applications and Uniform Motion

2.8 Linear Inequalities

Group Activity: Computing Body Mass Index (BMI)

## 3 Graphing Linear Equations in Two Variables

3.1 Rectangular Coordinate System

3.2 Linear Equations in Two Variables

3.3 Slope of a Line and Rate of Change

3.4 Slope-Intercept Form of a Linear Equation

PRE: Linear Equations in Two Variables 3.5 Point-Slope Formula

3.6 Applications of Linear Equations and Modeling

Group Activity: Modeling a Linear Equation

## 4 Systems of Linear Equations in Two Variables

4.1 Solving Systems of Equations by the Graphing Method

4.2 Solving Systems of Equations by the Substitution Method

4.3 Solving Systems of Equations by the Addition Method

PRE: Systems of Equations

4.4 Applications of Linear Inequalities in Two Variables

4.5 Linear Inequalities and Systems of Inequalities in Two Variables

Group Activity: Creating Linear Models from Data

## 5 Polynomials and Properties of Exponents

5.1 Multiplying and Dividing Expressions with Common Bases

5.2 More Properties of Exponents

5.3 Definitions of b^0 and b^-n

PRE: Properties of Exponents

5.4 Scientific Notation

5.5 Addition and Subtraction of Polynomials

5.6 Multiplication of Polynomials and Special Products

5.7 Division of Polynomials

PRE: Operations on Polynomials

Group Activity: The Pythagorean Theorem and a Geometric 'Proof'

## 6 Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x^2 + bx + c

6.3 Factoring Trinomials: Trial and Error Method

6.4 Factoring Trinomials: A-C Method

6.5 Difference of Squares and Perfect Square Trinomials

6.6 Sum and Difference of Cubes

PRE: Factoring Strategy

6.7 Solving Equations Using the Zero Product Rule

PRE: Polynomial Expressions versus Polynomial Equations

6.8 Applications of Quadratic Equations

Group Activity: Building a Factoring Test

## 7 Rational Expressions and Equations

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Least Common Denominator

7.4 Addition and Subtraction of Rational Expressions

PRE: Operations on Rational Expressions

7.5 Complex Fractions

7.6 Rational Equations

PRE: Comparing Rational Equations and Rational Expressions

7.7 Applications of Rational Equations and Proportions 7.8 Variation

Group Activity: Computing Monthly Mortgage Payments

## 8 Radicals

8.1 Introduction to Roots and Radicals

8.2 Simplifying Radicals

8.3 Addition and Subtraction of Radicals

8.4 Multiplication of Radicals

8.5 Division of Radicals and Rationalisation

PRE: Operations on Radicals

8.6 Radicals Equations

8.7 Rational Exponents

Group Activity: Calculating Standard Deviation

## 9 More Quadratic Equations

9.1 The Square Root Property

9.2 Completing the Square

9.3 Quadratic Formula

PRE: Solving Different Types of Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Group Activity: Maximising Volume

## Additional Topics Appendix

A.1 Converting Units of Measurement

# Related Products

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##### Math Videos Online for Introductory Algebra

3^{rd} Edition

ISBN10: 0077343212

ISBN13: 9780077343217

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