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Foundations |
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01 | |||
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 | |||
Solving Linear Equations and Inequalities |
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02 | |||
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 | |||
Math Models |
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03 | |||
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 | |||
Graphs |
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04 | |||
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 | |||
Systems of Linear Equations |
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05 | |||
Solve Systems of Equations by Graphing | |||
Solve 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 Inequalities | |||
Polynomials |
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06 | |||
Add and Subtract Polynomials | |||
Use Multiplication Properties of Exponents | |||
Multiply Polynomials | |||
Special Products | |||
Divide Monomials | |||
Divide Polynomials | |||
Integer Exponents and Scientific Notation | |||
Factoring |
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07 | |||
Greatest Common Factor and Factor by Grouping | |||
Factor Quadratic Trinomials with Leading Coefficient 1 | |||
Factor Quadratic Trinomials with Leading Coefficient Other than 1 | |||
Factor Special Products | |||
General Strategy for Factoring Polynomials | |||
Quadratic Equations | |||
Rational Expressions and Equations |
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08 | |||
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 | |||
Roots and Radicals |
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09 | |||
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 | |||
Quadratic Equations |
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10 | |||
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 |