Prealgebra & Introductory Algebra

by Miller, Julie; O'Neill, Molly; Hyde, Nancy

• ISBN13: 9780073512952
• ISBN10: 0073512958
• Edition: 1st
• Format: Paperback
• Copyright: 2012-01-11
• Publisher: McGraw-Hill Education

Summary

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Table of Contents

Chapter 1: Whole Numbers

1.1 Study Tips

1.2 Introduction to Whole Numbers

1.3 Addition and Subtraction of Whole Numbers and Perimeter

1.4 Rounding and Estimating

1.5 Multiplication of Whole Numbers and Area

1.6 Division of Whole Numbers

1.7 Exponents, Algebraic Expressions, and the Order of Operations

1.8 Mixed Applications and Computing Mean

Chapter 2: Integers and Algebraic Expressions

2.1 Integers, Absolute Value, and Opposite

2.2 Addition of Integers

2.3 Subtraction of Integers

2.4 Multiplication and Division of Integers

2.5 Order of Operations and Algebraic Expressions

Chapter 3: Solving Equations

3.1 Simplifying Expressions and Combining Like Terms

3.2 Addition and Subtraction Properties of Equality

3.3 Multiplication and Division Properties of Equality

3.4 Solving Equations with Multiple Steps

3.5 Applications and Problem Solving

Chapter 4: Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Simplifying Fractions

4.3 Multiplication and Division of Fractions

4.4 Least Common Multiple and Equivalent Fractions

4.5 Addition and Subtraction of Fractions

4.6 Estimation and Operations on Mixed Numbers

4.7 Order of Operations and Complex Fractions

4.8 Solving Equations Containing Fractions

Chapter 5: Decimals

5.1 Decimal Notation and Rounding

5.2 Addition and Subtraction of Decimals

5.3 Multiplication of Decimals and Applications with Circles

5.4 Division of Decimals

5.5 Fractions, Decimals, and the Order of Operations

5.6 Solving Equations Containing Decimals

Chapter 6: Ratio, Proportion, and Percent

6.1 Ratios

6.2 Rates

6.3 Proportions and Applications of Proportions

6.4 Percents, Fractions, and Decimals

6.5 Peent Proportions and Applications

6.6 Percent Equations and Applications

6.7 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease

6.8 Simple and Compound Interest

Chapter 7: Measurement and Geometry

7.1 U.S. Customary Units of Measurement

7.2 Metric Units of Measurement

7.3 Converting Between U.S. Customary and Metric Units

7.4 Medical Applications Involving Measurement

7.5 Lines and Angles

7.6 Triangles, the Pythagorean Theorem, and Similar Triangles

7.7 Perimeter, Circumference, and Area

7.8 Volume and Surface Area

Chapter 8: Introduction to Statistics

8.1 Tables, Bar Graphs, Pictographs, and Line Graphs

8.2 Frequency Distributions and Histograms

8.3 Circle Graphs

8.4 Mean, Median, and Mode

Chapter 9: Equations and Inequalities

9.1 Sets of Numbers and the Real Number Line

9.2 Solving Linear Equations

9.3 Linear Equations: Clearing Fractions and Decimals

9.4 Applications of Linear Equations and Problem Solving

9.5 Applications Involving Percents

9.6 Literal Equations and Applications of Geometry

9.7 Linear Inequalities

Chapter 10: Graphing Linear Equations in Two Variables

10.1 Rectangular Coordinate System

10.2 Linear Equations in Two Variables

10.3 Slope of a Line and Rate of Change

10.4 Slope-Intercept Form of a Line

10.5 Point-Slope Formula

10.6 Applications of Linear Equations

Chapter 11: Systems of Linear Equations in Two Variables

11.1 Solving Systems of Equations by the

Graphing Method

11.2 Solving Systems of Equations by the Substitution Method

11.3 Solving Systems of Equations by the Addition Method

11.4 Applications of Linear Equations in Two Variables

11.5 Linear Inequalities and Systems of Inequalities in Two Variables

Chapter 12: Polynomials and Properties of Exponents

12.1 Exponents: Multiplying and Dividing Common Bases

12.2 More Properties of Exponents

12.3 Definitions of b^0 and b^-n

12.4 Scientific Notation

12.5 Addition and Subtraction of Polynomials

12.6 Multiplication of Polynomials

12.7 Division of Polynomials

Chapter 13: Factoring Polynomials

13.1 Greatest Common Factor and Factoring by Grouping

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

13.3 Factoring Trinomials: Trial-and-Error Method

13.4 Factoring Trinomials: AC-Method

13.5 Difference of Squares and Perfect SquareTrinomialss

13.6 Solving Equations Using the Zero Product Rule

13.7 Applications of Quadratic Equations

Chapter 14: Rational Expressions

14.1 Introduction to Rational Expressions

14.2 Multiplication and Division of Rational Expressions

14.3 Least Common Denominator

14.4 Addition and Subtraction of Rational Expressions

14.5 Complex Fractions

14.6 Rational Equations

14.7 Applications of Rational Equations and Proportions

Chapter 15: Radicals

15.1 Introduction to Roots and Radicals

15.2 Simplifying Radicals

15.3 Addition and Subtraction of Radicals

15.4 Multiplication of Radicals

15.5 Division of Radicals and Rationalization

15.6 Radical Equations

Chapter 16: More Quadratic Equations and Functions

16.1 The Square Root Property

16.2 Completing the Square

16.3 Quadratic Formula

16.4 Graphing Quadratic Equations

16.5 Introduction to Functions

Appendix

A.1 Sum and Difference of Cubes

A.2 Introduction to Probability

A.3 Variation