Topic outline


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  • Foundations

  • Foundations - Final Assessment

    This is the final assessment for Foundations. (Available when you subscribe.)

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      • Solving Linear Equations and Inequalities

        2.1. Solve Equations Using the Subtraction and Addition Properties of Equality
        2.2. Solve Equations using the Division and Multiplication Properties of Equality
        2.3. Solve Equations with Variables and Constants on Both Sides
        2.4. Use a General Strategy to Solve Linear Equations
        2.5. Solve Equations with Fractions or Decimals
        2.6. Solve a Formula for a Specific Variable
        2.7. Solve Linear Inequalities
        Final Assessment

        • Math Models

          3.1. Use a Problem-Solving Strategy
          3.2. Solve Percent Applications
          3.3. Solve Mixture Applications
          3.4. Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
          3.5. Solve Uniform Motion Applications
          3.6. Solve Applications with Linear Inequalities
          Final Assessment

          • Graphs

            4.1. Use the Rectangular Coordinate System
            4.2. Graph Linear Equations in Two Variables
            4.3. Graph with Intercepts
            4.4. Understand Slope of a Line
            4.5. Use the Slope–Intercept Form of an Equation of a Line
            4.6. Find the Equation of a Line
            4.7. Graphs of Linear Inequalities
            Final Assessment

            • Systems of Linear Equations

              5.1. Solve Systems of Equations by Graphing
              5.2. Solve Systems of Equations by Substitution
              5.3. Solve Systems of Equations by Elimination
              5.4. Solve Applications with Systems of Equations
              5.5. Solve Mixture Applications with Systems of Equations
              5.6. Graphing Systems of Linear Inequalities
              Final Assessment

              • Polynomials

                6.1. Add and Subtract Polynomials
                6.2. Use Multiplication Properties of Exponents
                6.3. Multiply Polynomials
                6.4. Special Products
                6.5. Divide Monomials
                6.6. Divide Polynomials
                6.7. Integer Exponents and Scientific Notation
                Final Assessment

                • Factoring

                  7.1. Greatest Common Factor and Factor by Grouping
                  7.2. Factor Quadratic Trinomials with Leading Coefficient 1
                  7.3. Factor Quadratic Trinomials with Leading Coefficient Other than 1
                  7.4. Factor Special Products
                  7.5. General Strategy for Factoring Polynomials
                  7.6. Quadratic Equations
                  Final Assessment

                  • Rational Expressions and Equations

                    8.1. Simplify Rational Expressions
                    8.2. Multiply and Divide Rational Expressions
                    8.3. Add and Subtract Rational Expressions with a Common Denominator
                    8.4. Add and Subtract Rational Expressions with Unlike Denominators
                    8.5. Simplify Complex Rational Expressions
                    8.6. Solve Rational Equations
                    8.7. Solve Proportion and Similar Figure Applications
                    8.8. Solve Uniform Motion and Work Applications
                    8.9. Use Direct and Inverse Variation
                    Final Assessment

                    • Roots and Radicals

                      9.1. Simplify and Use Square Roots
                      9.2. Simplify Square Roots
                      9.3. Add and Subtract Square Roots
                      9.4. Multiply Square Roots
                      9.5. Divide Square Roots
                      9.6. Solve Equations with Square Roots
                      9.7. Higher Roots
                      9.8. Rational Exponents
                      Final Assessment

                      • Quadratic Equations

                        10.1. Solve Quadratic Equations Using the Square Root Property
                        10.2. Solve Quadratic Equations by Completing the Square
                        10.3. Solve Quadratic Equations Using the Quadratic Formula
                        10.4. Solve Applications Modeled by Quadratic Equations
                        10.5. Graphing Quadratic Equations
                        Final Assessment

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