Developmental Mathematics, 1st Edition

1.1 Reading and Writing Whole Numbers

1.2 Addition and Subtraction with Whole Numbers

1.3 Multiplication with Whole Numbers

1.4 Division with Whole Numbers

1.5 Rounding and Estimating with Whole Numbers

1.6 Exponents and Order of Operations

1.7 Problem Solving with Whole Numbers

1.8 Tests for Divisibility

1.9 Prime Numbers and Prime Factorizations

2.1 Introduction to Fractions and Mixed Numbers

2.2 Multiplication and Division with Fractions and Mixed Numbers

2.3 Least Common Multiple (LCM)

2.4 Addition and Subtraction with Fractions

2.5 Addition and Subtraction with Mixed Numbers

2.6 Order of Operations with Fractions and Mixed Numbers

3.1 Introduction to Decimal Numbers

3.2 Addition and Subtraction with Decimal Numbers

3.3 Multiplication with Decimal Numbers

3.4 Division with Decimal Numbers

3.5 Decimals and Fractions

4.1 Ratios and Proportions

4.2 Solving Proportions

4.3 Decimals and Percents

4.4 Fractions and Percents

4.5 Solving Percent Problems by Using Proportions: P/100 = A/B

4.6 Solving Percent Problems by Using the Equation: R * B = A

4.7 Applications: Discount, Sales Tax, and Commission

4.8 Applications: Profit, Simple Interest, and Compound Interest

5.1 Angles

5.2 Perimeter

5.3 Area

5.4 Circles

5.5 Volume and Surface Area

5.6 Triangles

5.7 Square Roots and the Pythagorean Theorem

7.1a The Real Number Line and Inequalities

7.1b Introduction to Absolute Value

7.2 Addition with Real Numbers

7.3 Subtraction with Real Numbers

7.4 Multiplication and Division with Real Numbers

7.5 Order of Operations with Real Numbers

7.6 Properties of Real Numbers

7.7a Variables and Algebraic Expressions

7.7b Simplifying Algebraic Expressions

7.7c Evaluating Algebraic Expressions

7.8 Translating English Phrases and Algebraic Expressions

8.1a Solving Linear Equations Using Addition and Subtraction

8.1b Solving Linear Equations Using Multiplication and Division

8.2 Solving Linear Equations: ax + b = c

8.3 Solving Linear Equations: ax + b = cx + d

8.4 Introduction to Problem Solving

8.5 Working with Formulas

8.6 Applications: Distance-Rate-Time, Interest, Average

8.7 Solving Linear Inequalities

9.1 The Cartesian Coordinate System

9.2 Graphing Linear Equations in Two Variables: Ax + By = C

9.3 The Slope- Intercept Form: y = mx + b

9.4a Finding the Equation of a Line

9.4b The Point- Slope Form: y - y1 = m(x - x1)

9.5 Introduction to Functions and Function Notation

9.6 Graphing Linear Inequalities in Two Variables

10.1 Systems of Equations: Solutions by Graphing

10.2 Systems of Equations: Solutions by Substitution

10.3 Systems of Equations: Solutions by Addition

10.4 Applications: Distance- Rate- Time, Number Problems, Amounts and Costs

10.5 Applications: Interest and Mixture

11.1 Exponents I

11.2a Exponents II

11.2b Scientific Notation

11.3 Introduction to Polynomials

11.4 Addition and Subtraction with Polynomials

11.5 Multiplication with Polynomials

11.6a The FOIL Method

11.6b Special Products of Binomials

11.7a Division by a Monomial

11.7b The Division Algorithm

12.1a Greatest Common Factor of Two or More Terms

12.1b Greatest Common Factor of a Polynomial

12.1c Factoring Expressions by Grouping

12.2 Factoring Trinomials: x^2 + bx + c

12.3a Factoring Trinomials by Trial and Error

12.3b Factoring Trinomials by the ac- Method

12.4a Special Factorizations - Squares

12.4b Special Factorizations - Cubes

12.5 Additional Factoring Practice

12.6 Solving Quadratic Equations by Factoring

12.7 Applications of Quadratic Equations

13.1a Defining Rational Expressions

13.1b Multiplication and Division with Rational Expressions

13.2 Addition and Subtraction with Rational Expressions

13.3 Complex Fractions and Order of Operations

13.4 Solving Equations with Rational Expressions

13.5 Applications: Rational Expressions

13.6 Variation

14.1 Evaluating Radicals

14.2 Simplifying Radicals

14.3a Addition and Subtraction with Radicals

14.3b Multiplication with Radicals

14.4 Rationalizing Denominators

14.5 Solving Radical Equations

14.6 Rational Exponents

14.7 Functions with Radicals

A.1 U.S. Measurements

A.2a Metric System: Length and Area

A.2b Metric System: Weight and Volume

A.3 U.S. to Metric Conversions

A.4a Solving Absolute Value Equations

A.4b Solving Absolute Value Inequalities

A.5 Synthetic Division

A.6 Systems of Linear Inequalities

A.7 Systems of Linear Equations: Three Variables

A.8 Introduction to Complex Numbers

A.9 Multiplication and Division with Complex Numbers

A.10 Equations in Quadratic Form