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## Chapter 1 – Foundations

- Introduction to Whole Numbers
- Use the Language of Algebra
- Add and Subtract Integers
- Multiply and Divide Integers
- Visualize Fractions
- Add and Subtract Fractions
- Decimals
- The Real Numbers
- Properties of Real Numbers
- Systems of Measurement

## Chapter 2 – Solving Linear Equations and Inequalities

- 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
- Use a General Strategy to Solve Linear Equations
- Solve Equations with Fractions or Decimals
- Solve a Formula for a Specific Variable
- Solve Linear Inequalities

## Chapter 3 – Math Models

- Use a Problem-Solving Strategy
- Solve Percent Applications
- Solve Mixture Applications
- Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
- Solve Uniform Motion Applications
- Solve Applications with Linear Inequalities

## Chapter 4 – Graphs

- Use the Rectangular Coordinate System
- Graph Linear Equations in Two Variables
- Graph with Intercepts
- Understand Slope of a Line
- Use the Slope-Intercept Form of an Equation of a Line
- Find the Equation of a Line
- Graphs of Linear Inequalities

## Chapter 5 – Systems of Linear Equations

- Solve Systems of Equations by Graphing
- Solving Systems of Equations by Substitution
- Solve Systems of Equations by Elimination
- Solve Applications with Systems of Equations
- Solve Mixture Applications with Systems of Equations
- Graphing Systems of Linear

## Chapter 6 – Polynomials

- Add and Subtract Polynomials
- Use Multiplication Properties of Exponents
- Multiply Polynomials
- Special Products
- Divide Monomials
- Divide Polynomials
- Integer Exponents and Scientific Notation

## Chapter 7 – Factoring

- Greatest Common Factor and Factor by Grouping
- Factor Trinomials of the Form x2+bx+c
- Factor Trinomials of the Form ax2+bx+c
- Factor Special Products
- General Strategy for Factoring Polynomials
- Quadratic Equations

## Chapter 8 – Rational Expressions and Equations

- Simplify Rational Expressions
- Multiply and Divide Rational Expressions
- Add and Subtract Rational Expressions with a Common Denominator
- Add and Subtract Rational Expressions with Unlike Denominators
- Simplify Complex Rational Expressions
- Solve Rational Equations
- Solve Proportion and Similar Figure Applications
- Solve Uniform Motion and Work Applications
- Use Direct and Inverse Variation

## Chapter 9 – Roots and Radicals

- Simplify and Use Square Roots
- Simplify Square Roots
- Add and Subtract Square Roots
- Multiply Square Roots
- Divide Square Roots
- Solve Equations with Square Roots
- Higher Roots
- Rational Exponents

## Chapter 10 – Quadratic Equations

- Solve Quadratic Equations Using the Square Root Property
- Solve Quadratic Equations by Completing the Square
- Solve Quadratic Equations Using the Quadratic Formula
- Solve Applications Modeled by Quadratic Equations
- Graphing Quadratic Equations in Two Variables