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Table of Contents

## Chapter 1 – Whole Numbers

- Introduction to Whole Numbers
- Add Whole Numbers
- Subtract Whole Numbers
- Multiply Whole Numbers
- Divide Whole Numbers

## Chapter 2 – The Language of Algebra

- Use the Language of Algebra
- Evaluate, Simplify, and Translate Expressions
- Solving Equations Using the Subtraction and Addition Properties of Equality
- Find Multiples and Factors
- Prime Factorization and the Least Common Multiples

## Chapter 3 – Integers

- Introduction to Integers
- Add Integers
- Subtract Integers
- Multiply and Divide Integers
- Solve Equations Using Integers; The division Property of Equality

## Chapter 4 – Fractions

- Visualize Fractions
- Multiply and Divide Fractions
- Multiply and Divide Mixed Numbers and Complex Fractions
- Add and Subtract Fractions with Common Denominators
- Add and Subtract Fractions with Different Denominators
- Add and Subtract Mixed Numbers
- Solve Equations with Fractions

## Chapter 5 – Decimals

- Decimals
- Decimal Operations
- Decimals and Fractions
- Solve Equations with Decimals
- Averages and Probability
- Ratios and Rate
- Simplify and Use Square Roots

## Chapter 6 – Fractions

- Understand Percent
- Solve General Applications of Percent
- Solve Sales Tax, Commission, and Discount Applications
- Solve Simple Interest Applications
- Solve Proportions and their Applications

## Chapter 7 – The Properties of Real Numbers

- Rational and Irrational Numbers
- Commutative and Associative Properties
- Distributive Property
- Properties of Identity, Inverses, and Zero
- Systems of Measurement

## Chapter 8 – Solving Linear Equations

- Solve Equations Using the Subtraction and Addition Properties of Equality
- Solve Equations Using the Division and Multiplication Properties of Equality
- Solve Equations With Variables and Constants on Both Sides
- Solve Equations with Fraction or Decimal Coefficients

## Chapter 9 – Math Models and Geometry

- Use a Problem Solving Strategy
- Solve Money Applications
- Use Properties of Angels, Triangles, and the Pythagorean Theorem
- Use Properties of Rectangles, Triangles, and Trapezoids
- Solve Geometry Applications: Circles and Irregular Figures
- Solve Geometry Applications: Volume and Surface Area
- Solve a Formula for a Specific Variable

## Chapter 10 – Polynomials

- Add and Subtract Polynomials
- Use Multiplication Properties of Exponents
- Multiply Polynomials
- Divide Monomials
- Integer Exponents and Scientific Notation
- Introduction to Factoring Polynomials

## Chapter 11 – Graphs

- Use the Rectangular Coordinate System
- Graphing Linear Equations
- Graphing with Intercepts
- Understand Slope of a Line