## Table of Contents

**Mini-Module 1: Whole Numbers**

1.1 Whole Numbers

1.2 Rounding

1.3 Adding Whole Numbers; Estimation

1.4 Subtracting Whole Numbers

1.5 Basic Problem Solving

1.6 Multiplying Whole Numbers

1.7 Dividing Whole Numbers

1.8 More with Multiplying and Dividing

1.9 Exponents

1.10 Order of Operations and Whole Numbers

1.11 More Problem Solving

**Mini-Module 2: Integers**

2.1 Understanding Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Exponents and Integers

2.6 Order of Operation and Integers

**Mini-Module 3: Introduction to Algebra **

3.1 Variables and Expressions

3.2 Like Terms

3.3 Distributing

3.4 Simplifying Expressions

3.5 Translating Words into Symbols

**Mini-Module 4: Equations **

4.1 Equations and Solutions

4.2 Solving Equations by Adding or Subtracting

4.3 Solving Equations by Multiplying or Dividing

4.4 Solving Equations - Two Steps

4.5 Solving Equations - Multiple Steps

4.6 Translating Words into Equations

4.7 Applications of Equations

**Mini-Module 5: Factors and Fractions**

5.1 Factors

5.2 Prime Factorization

5.3 Understanding Fractions

5.4 Simplifying Fractions - GCF and Factors Method

5.5 Simplifying Fractions - Prime Factors Method

5.6 Multiplying Fractions

5.7 Dividing Fractions

**Mini-Module 6: LCM and Fractions**

6.1 Finding the LCM - List Method

6.2 Finding the LCM - GCF Method

6.3 Finding the LCM - Prime Factor Method

6.4 Writing Fractions with an LCD

6.5 Adding and Subtracting Like Fractions

6.6 Adding and Subtracting Unlike Fractions

**Mini-Module 7: Mixed Numbers**

7.1 Changing a Mixed Number to an Improper Fraction

7.2 Changing an Improper Fraction to a Mixed Number

7.3 Multiplying Mixed Numbers

7.4 Dividing Mixed Numbers

7.5 Adding Mixed Numbers

7.6 Subtracting Mixed Numbers

7.7 Adding and Subtracting Mixed Numbers—Improper Fractions

**Mini-Module 8: Operations with Decimals**

8.1 Decimal Notation

8.2 Comparing Decimals

8.3 Rounding Decimals

8.4 Adding and Subtracting Decimals

8.5 Multiplying Decimals

8.6 Dividing Decimals

**Mini-Module 9: More with Fractions and Decimals**

9.1 Order of Operations and Fractions

9.2 Order of Operations and Decimals

9.3 Converting Fractions to Decimals

9.4 Converting Decimals to Fractions

9.5 Solving Equations Involving Fractions

9.6 Solving Equations Involving Decimals

**Mini-Module 10: Ratios, Rates, and Percents**

10.1 Ratios

10.2 Rates

10.3 Proportions

10.4 Percent Notation

10.5 Percent and Decimal Conversions

10.6 Percent and Fraction Conversions

10.7 The Percent Equation

10.8 The Percent Proportion

10.9 Percent Applications

**Mini-Module 11: Introduction to Geometry**

11.1 Lines and Angles

11.2 Figures

11.3 Perimeter - Definitions and Units

11.4 Finding Perimeter

11.5 Area - Definitions and Units

11.6 Finding Area

11.7 Understanding Circles

11.8 Finding Circumference

11.9 Finding Area—Circles

**Mini-Module 12: More Geometry**

12.1 Volume - Definitions and Units

12.2 Finding Volume

12.3 Square Roots

12.4 The Pythagorean Theorem

12.5 Similar Figures

12.6 Finding Missing Lengths

12.7 Congruent Triangles

12.8 Applications of Equations and Geometric Figures

**Mini-Module 13: Statistics**

13.1 Bar Graphs

13.2 Line Graphs

13.3 Circle Graphs

13.4 Mean

13.5 Median

13.6 Mode

13.7 Introduction to Probability

**Mini-Module 14: Real Numbers**

14.1 Introduction to Real Numbers

14.2 Inequalities and Absolute Value

14.3 Adding Real Numbers

14.4 Subtracting Real Numbers

14.5 Multiplying Real Numbers

14.6 Dividing Real Numbers

14.7 Properties of Real Numbers

14.8 Exponents and the Order of Operations

**Mini-Module 15: Algebraic Expressions and Solving Linear Equations**

15.1 Evaluating Algebraic Expressions

15.2 Simplifying Expressions

15.3 Translating Words into Symbols and Equations

15.4 Linear Equations and Solutions

15.5 Using the Addition and Multiplication Properties

15.6 Using the Addition and Multiplication Properties Together

**Mini-Module 16: Solving More Linear Equations and Inequalities**

16.1 Solving Equations with Variables on Both Sides

16.2 Solving Equations with Parentheses

16.3 Solving Equations with Fractions

16.4 Solving a Variety of Equations

16.5 Solving Equations and Formulas for a Variable

16.6 Solving and Graphing Linear Inequalities in One Variable

16.7 Applications of Linear Equations and Inequalities

**Mini-Module 17: Introduction to Graphing Linear Equations**

17.1 The Rectangular Coordinate System

17.2 Graphing Linear Equations by Plotting Points

17.3 Graphing Linear Equations Using Intercepts

17.4 Graphing Linear Equations of the Form *x=a*, *y=b*, and *y=mx*

17.5 Applications of Graphing Linear Equations

**Mini-Module 18: Slope, Equations of Lines, and Linear Inequalities in Two Variables**

18.1 The Slope of a Line

18.2 Slope-Intercept Form

18.3 Graphing Lines Using the Slope and y-Intercept

18.4 Writing Equations of Lines Using a Point and Slope

18.5 Writing Equations of Lines Using Two Points

18.6 Writing Equations of Parallel and Perpendicular Lines

18.7 Graphing Linear Inequalities in Two Variables

**Mini-Module 19: Introduction to Functions **

19.1 Relations and Functions

19.2 The Vertical Line Test

19.3 Function Notation

19.4 Evaluating Functions

19.5 Graphing Linear Functions

19.6 Applications of Functions

**Mini-Module 20: Solving Systems of Linear Equations **

20.1 Introduction to Systems of Linear Equations

20.2 Solving by the Graphing Method

20.3 Solving by the Substitution Method

20.4 Solving by the Elimination Method

20.5 Solving a System in Three Variables by the Elimination Method

20.6 Applications of Systems of Linear Equations

**Mini-Module 21: Introduction to Polynomials and Exponent Rules**

21.1 Introduction to Polynomials

21.2 Addition of Polynomials

21.3 Subtraction of Polynomials

21.4 Product Rule for Exponents

21.5 Power Rule for Exponents

**Mini-Module 22: Multiplying Polynomials**

22.1 Multiplying by a Monomial

22.2 Multiplying Binomials

22.3 Multiplying Polynomials

22.4 Multiplying the Sum and Difference of Two Terms

22.5 Squaring Binomials

**Mini-Module 23: Dividing Polynomials and More Exponent Rules**

23.1 The Quotient Rule

23.2 Integer Exponents

23.3 Scientific Notation

23.4 Dividing a Polynomial by a Monomial

23.5 Dividing a Polynomial by a Binomial

**Mini-Module 24: Factoring Polynomials**

24.1 Greatest Common Factor

24.2 Factoring by Grouping

24.3 Factoring Trinomials of the Form *x*^{2}+bx+c

24.4 Factoring Trinomials of the Form *ax*^{2}+bx+c

24.5 Factoring Trinomials by Grouping Numbers (the ac-Method)

24.6 More Factoring of Trinomials

**Mini-Module 25: More Factoring and Quadratic Equations**

25.1 Special Cases of Factoring

25.2 Factoring Polynomials

25.3 Factor the Sum and Difference of Cubes

25.4 Solving Quadratic Equations by Factoring

25.5 Applications

**Mini-Module 26: Introduction to Rational Expressions**

26.1 Introduction to Rational Expressions and Functions

26.2 Simplifying Rational Expressions

26.3 Multiplying Rational Expressions

26.4 Dividing Rational Expressions

**Mini-Module 27: Adding and Subtracting Rational Expressions**

27.1 Adding Like Rational Expressions

27.2 Subtracting Like Rational Expressions

27.3 Finding the Least Common Denominator for Rational Expressions

27.4 Adding and Subtracting Unlike Rational Expressions

**Mini-Module 28: Complex Rational Expressions and Rational Equations **

28.1 Simplifying Complex Rational Expressions by Adding and Subtracting

28.2 Simplifying Complex Rational Expressions by Multiplying by the LCD

28.3 Solving Rational Equations

28.4 Applications of Rational Equations: Solving Formulas for a Variable

28.5 Applications of Rational Equations: Work Problems

28.6 Applications of Rational Equations: *D = RT*

**Mini-Module 29: Variation**

29.1 Direct Variation

29.2 Inverse Variation

29.3 Joint and Combined Variation

29.4 Applications of Variation

**Mini-Module 30: Roots and Radicals**

30.1 Square Roots

30.2 Higher-Order Roots

30.3 Simplifying Radical Expressions

30.4 Rational Exponents

30.5 More on The Pythagorean Theorem

30.6 The Distance Formula

**Mini-Module 31: Operations of Radical Expressions**

31.1 Introduction to Radical Functions

31.2 Adding and Subtracting Radical Expressions

31.3 Multiplying Radical Expressions

31.4 Dividing Radical Expressions

31.5 Rationalizing the Denominator

31.6 Solving Radical Equations

**Mini-Module 32: Solving Quadratic Equations**

32.1 Introduction to Solving Quadratic Equations

32.2 Solving Quadratic Equations by Factoring

32.3 Solving Quadratic Equations using the Square Root Property

32.4 Solving Quadratic Equations by Completing the Square

32.5 Solving Quadratic Equations using the Quadratic Formula

32.6 Applications with Quadratic Equations

**Mini-Module 33: Complex Numbers and More Quadratic Equations**

33.1 Complex Numbers

33.2 The Discriminant in the Quadratic Formula

33.3 Solving Quadratic Equations with Real or Complex Number Solutions

33.4 Solving Equations Quadratic in Form

33.5 Complex and Quadratic Applications

**Mini-Module 34: Graphing Quadratic Functions**

34.1 Introduction to Graphing Quadratic Functions

34.2 Finding the Vertex of a Quadratic Function

34.3 Finding the Intercepts of a Quadratic Function

34.4 Graphing Quadratic Functions Summary

34.5 Applications with Quadratic Functions

**Mini-Module 35: Compound and Nonlinear Inequalities**

35.1 Interval Notation

35.2 Graphing Compound Inequalities

35.3 Solving Compound Inequalities

35.4 Solving Quadratic Inequalities

35.5 Solving Rational Inequalities

**Mini-Module 36: Absolute Value Equations and Inequalities**

36.1 Introduction to Absolute Value Equations

36.2 Solving Basic Absolute Value Equations

36.3 Solving Multiple Absolute Value Equations

36.4 Solving Absolute Value Inequalities

**Mini-Module 37: Conic Sections**

37.1 Introduction to Conic Sections

37.2 The Circle

37.3 The Parabola

37.4 The Ellipse

37.5 The Hyperbola

**Mini-Module 38: Logarithmic and Exponential Functions**

38.1 Composite Functions

38.2 Inverse Functions

38.3 Evaluating Exponential and Logarithmic Expressions

38.4 Graphing Exponential Functions

38.5 Converting Between Exponential and Logarithmic Forms

38.6 Graphing Logarithmic Functions

**Mini-Module 39: Solving Logarithmic and Exponential Equations**

39.1 Properties of Logarithms

39.2 Common and Natural Logarithms

39.3 Change of Base of Logarithms

39.4 Solving Simple Exponential Equations and Applications

39.5 Solving Exponential Equations and Applications

39.6 Solving Simple Logarithmic Equations and Applications

39.7 Solving Logarithmic Equations and Applications

**Appendix A: U.S. and Metric Measurement**

A.1 U.S. Length

A.2 U.S. Weight and Capacity

A.3 Metric Length

A.4 Metric Mass and Capacity

A.5 Converting Between U.S. and Metric Units

A.6 Time and Temperature

**Appendix B: More on Functions**

B.1 Using a Graphing Calculator

B.2 Algebra of Functions

B.3 Transformations of Functions

B.4 Piecewise Functions

B.5 Graphing Piecewise Functions

**Appendix C: More on Systems**

C.1 Systems of Linear Inequalities

C.2 Systems of Non-Linear Equations

C.3 Matrices and Determinants

C.4 Solving Systems of Linear Equations Using Matrices

C.5 Cramer’s Rule

**Appendix D: Additional Topics **

D.1 Sets

D.2 The Midpoint Formula

D.3 Surface Area

D.4 Synthetic Division

D.5 Balancing a Checking Account

D.6 Determining the Best Deal when Purchasing a Vehicle