Click in the Foundations of Algebra tab above to go to each chapter. Course Description for Foundations of Algebra 1 0. Integers Adding & Subtracting Integers
Multiplying & Dividing Integers
Adding & Subtracting Rational Numbers
Multiplying & Dividing Rational Numbers 1. Expressions, Equations, and Functions Variables and Expressions Order of Operations Properties of Numbers The Distributive Property Equations Relations Functions Logical Reasoning and Counterexamples Writing Equations Solving One-Step Equations Solving Multi-Step Equations Solving Equations with the Variable on Each Side Solving Equations Involving Absolute Value Ratios and Proportions Percent of Change Literal Equations and Dimensional Analysis Weighted Averages Graphing Linear Equations Solving Linear Equations by Graphing Rates of Change and Slope Direct Variation Arithmetic Sequences as Linear Functions Proportional and Nonproportional Relationships 4. Linear Functions and Relations Graphing Equations in Slope-Intercept Form Writing Equations in Slope-Intercept Form Writing Equations in Point-Slope Form Parallel and Perpendicular Lines Scatter Plots and Lines of Fit Regression and Median-fit Lines Special Functions Solving Inequalities by Addition and Subtraction Solving Inequalities by Multiplication and Division Solving Multi-Step Inequalities Solving Compound Inequalities Inequalities Involving Absolute Value Graphing Inequalities in Two Variables 6. Systems of Linear Equations and Inequalities Solving Systems of Equations by Graphing Solving Systems of Equations by Substitution Solving Systems of Equations by Elimination Applying Systems of Linear Functions Systems of Inequalities 7. Polynomials Multiplying Monomials Dividing Monomials Scientific Notation Polynomials Adding and Subtracting Polynomials Multiplying a Polynomial by a Monomial Multiplying Polynomials Special Products 8. Factoring and Quadratic Equations Monomials and Factoring Using the Distributive Property Quadratic Equations: x2 + bx + c Quadratic Equations: ax2 + bx + c Quadratic Equations: Difference of Squares Quadratic Equations: Perfect Squares 9. Quadratic and Exponential Functions Graphing Quadratic Functions Solving Quadratic Equations by Graphing Transformations of Quadratic Functions Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by Using the Quadratic Formula Exponential Functions Growth and Decay Geometric Sequences as Exponential Functions Analyzing Functions with Successive Difference and Ratios 10. Radical Functions and Geometry Square Root Functions Simplifying Radical Expressions Operations with Radical Expressions Radical Equations The Pythagorean Theorem The Distance and Midpoint Formulas Similar Triangles Trigonometric Ratios 11. Rational Functions and Equations Inverse Variation Rational Functions Simplifying Rational Expressions Multiplying and Dividing Polynomials Adding and Subtracting Rational Expressions Mixed Expressions and Complex Fractions Rational Equations End of Course Exams Example Problems To print a copy of the notes, watch a step by step video of the notes or to print worksheets click on the link below left side for the individual chapter. |
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