Basic Algebra

/For Contributors/ Chapter 1: Introduction to Basic Algebra Ideas Introduction: The Ideas of Algebra Lesson 0. Translating Words into Math Symbols Lesson 1. Simple Operations Lesson 2. Exponents and Powers Lesson 3. Order of Operations Lesson 4. Variables and Expressions Lesson 5. Working With Negative Numbers Lesson 6. Solving Equations Using Properties of Mathematics Chapter Review Chapter Test Chapter 2: Working with Rational Numbers Lesson 1. Integers and the Number Line Lesson 2. Absolute Value Lesson 3. Rational Numbers Lesson 4. Adding Rational Numbers Lesson 5. Subtracting Rational Numbers Lesson 6. Multiplying Rational Numbers Lesson 7. Distributive Property Lesson 8. Combining Like Terms Lesson 9. Dividing Rational Numbers Lesson 10. Formulas Chapter Review Chapter Test Chapter 3: Solving Equations Lesson 1. Solving Equations with Addition and Subtraction Lesson 2. Solving Equations with Multiplication and Division Lesson 3. Solving Multi-Step Equations Lesson 4. Solving Equations with Variables on Both Sides of the Equation Lesson 5. Equations with More than One Variable Lesson 6. Formulas Chapter Review Chapter Test Chapter 4: Proportions and Proportional Reasoning Lesson 1. Proportions Lesson 2. Percents Lesson 3. Percent of Change Lesson 4. Weighted Averages Lesson 5. Direct and Inverse Variation Lesson 6. Solving Similar Triangles using Proportions Chapter Review Chapter Test Chapter 5: Lines (Linear Functions) Lesson 1. Graphing Points Lesson 2. Equations in Two Variables Lesson 3. Graphing Lines(Linear Functions) Lesson 4. Slope of a Line Lesson 5. Slope-Intercept Form of a Line Lesson 6. Find Parallel and Perpendicular Lines Lesson 7. Find the Equation of the Line Using Two Points Lesson 8. Functions and Relations Chapter Review Chapter Test Chapter 6: Linear Inequalities Lesson 1. Solving Inequalities Lesson 2. Solving "AND" Compound Inequalities Lesson 3. Solving "OR" Compound Inequalities Lesson 4. Solving Absolute Value Inequalities Lesson 5. Graphing Linear Inequalities Chapter Review Chapter Test Chapter 7: Systems of Linear Equations Lesson 1. Solving Linear Systems by Graphing Lesson 2. Solving Linear Systems by Substitution Lesson 3. Solving Linear Systems by Linear Combinations Lesson 4. Using Matricies to Solve Linear Systems Chapter Review Chapter Test Chapter 8: Polynomials Lesson 1. Exponents Lesson 2. Zero and Negative Exponents Lesson 3. Adding and Subtracting Polynomials Lesson 4. Multiplying Monomials Lesson 5. Powers of Monomials Lesson 6. Multiplying Monomials and Polynomials Lesson 7. Multiplying Polynomials Chapter Review Chapter Test Chapter 9: Factoring Lesson 1. Factors of Integers Lesson 2. Dividing Monomials Lesson 3. Monomial Factors of Polynomials Lesson 4. Multiplying Binomials Lesson 5. Squares of Binomials / Squares of Trinomials Lesson 6. Factoring x^2 + bx + c Lesson 7. Factoring x^2 - bx + c Lesson 8. Factoring x^2 - bx - c and x^2 + bx - c Lesson 9. Factoring a^2-b^2 Binomials Lesson 10. Factoring by Grouping Lesson 11. Factoring Cubic Polynomials Chapter Review Chapter Test Chapter 10: Solving Quadratic Equations Lesson 1. The Zero Product Property Lesson 2. Solving Quadratic Equations by Factoring Lesson 3. Solving Quadratic Equations By Taking The Square Root of Both Sides Lesson 4. Solving Quadratic Equations By Completing The Square Lesson 5. Solving Quadratic Equations By Using The Quadratic Formula Lesson 6. The Discriminant Lesson 7. Quadratic Equation Word Problems Chapter Review Chapter Test Chapter 11: Quadratic Functions Lesson 1. Graphing a Parabola Lesson 2. Using the Discrimnant to Help Graph a Parabola Lesson 3. Finding the Axis of Symmetry of a Parabola Lesson 4. Finding the Vertex of a Parabola Lesson 5. Graphing Quadratic Inequalities Chapter Review Chapter Test Chapter 12: Exponential Functions Lesson 1. Multiplication of Exponential Expressions Lesson 2. Zero and Negative Exponents Lesson 3. Graphs of Exponential Functions Lesson 4. Division of Exponential Expressions Lesson 5. Scientific Notation Lesson 6. Growth and Decay Functions Chapter Review Chapter Test Chapter 13: Rational Expressions and Equations Lesson 1. Direct and Inverse Variation Lesson 2. Simplifying Rational Expressions Lesson 3. Multiplying and Dividing Rational Expressions Lesson 4. Adding and Subtracting with Like Denominators Lesson 5. Adding and Subtracting When the Denominators are the Same Lesson 6. Adding and Subtracting When the Denominators are Different Lesson 7. Solving Rational Equations Chapter Review Chapter Test Chapter 14: Radical Expressions and Equations Lesson 1. Square Root Functions Lesson 2. Equations with Radicals Lesson 3. Rational Exponents Lesson 4. The Pythagorean Theorem Lesson 5. The Distance Formula Chapter Review Chapter Test algebra K-12 mathematics B 25%