# Prealgebra & Introductory Algebra

1^{st}Edition

Copyright: 2013

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### Program Details

## 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

## 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

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