| Tools for Algebra |
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| 1.1. Adding Integers |
| 1.2. Subtracting Integers |
| 1.3. Multiplying Integers |
| 1.4. Dividing Integers |
| 1.5. Positive And Negative Fractions |
| 1.6. Positive And Negative Decimals |
| 1.7. Exponents |
| 1.8. Laws Of Exponents |
| 1.9. Square Roots |
| 1.10. Order Of Operations |
| 1.11. Properties Of Numbers |
| 1.12. The Number Line |
| 1.13. The Coordinate Plane |
| 1.14. Relations & Functions |
| 1.15. Divisibility Tests |
| 1.16. Prime Factorization |
| 1.17. Greatest Common Factor |
| 1.18. Least Common Multiples |
| 1.19. Scientific Notation |
| 1.20. Ratios And Proportions |
| 1.21. Percent's |
| 1.22. Percent Word Problems |
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| Solving Equations |
| 2.1. Solving Equations Using Addition And Subtraction |
| 2.2. Solving Equations Using Multiplication And Division |
| 2.3. Solving 2-Step Equations |
| 2.4. Solving Equations With Variables On Both Sides |
| 2.5. Solving Equations Using The Distributive Property |
| 2.6. Simplifying Equations By Collecting Like Terms |
| 2.7. Solving Equations Involving Absolute Value |
| 2.8. Solving Multi-step Equations |
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| Graphing and Analyzing Linear Equations |
| 3.1. Graphing Linear Equations |
| 3.2. Finding The Intercepts Of A Line |
| 3.3. Slope Of A Line |
| 3.4. Standard Form And Slope-intercept Form |
| 3.5. Determining The Slope-Intercept Equation |
| 3.6. Determining The Point-Slope Form |
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| Solving and Graphing Inequalities |
| 4.1. Introduction To Inequalities |
| 4.2. Solving And Graphing Inequalities Using Addition And Subtraction |
| 4.3. Solving And Graphing Inequalities Using Multiplication And Division |
| 4.4. Solving And Graphing Multi-step Inequalities |
| 4.5. Solving Inequalities Involving Absolute Value |
| 4.6. Graphing Linear Inequalities |
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| Systems of Linear Equations and Inequalities |
| 5.1. The Graphing Method |
| 5.2. The Substitution Method |
| 5.3. The Elimination Method |
| 5.4. Graphing Systems Of Linear Inequalities |
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| Polynomials |
| 6.1. Adding Polynomials |
| 6.2. Subtracting Polynomials |
| 6.3. Multiplying Monomials |
| 6.4. Dividing Monomials |
| 6.5. Multiplying Polynomials By Monomials |
| 6.6. Multiplying Binomials |
| 6.7. Dividing Polynomials By Monomials |
| 6.8. Dividing A Polynomial By A Polynomial |
| 6.9. Factoring Polynomials Using Greatest Common Factor |
| 6.10. Factoring Polynomials Of The Form Ax2 + Bx + C |
| 6.11. Factoring The Difference Of Two Squares |
| 6.12. Factoring Using Combinations |
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| Rational Expressions (Algebraic Fractions) |
| 7.1. Simplifying Algebraic Fractions |
| 7.2. Simplifying Algebraic Fractions With Several Terms |
| 7.3. Using The -1 Factor |
| 7.4. Using Ratios And Proportions To Solve Algebraic Fraction Equations |
| 7.5. Multiplying Algebraic Fractions |
| 7.6. Dividing Algebraic Fractions |
| 7.7. Adding And Subtracting Algebraic Fractions With Like Denominators |
| 7.8. Adding And Subtracting Algebraic Fractions With Unlike Denominators |
| 7.9. Adding And Subtracting With Binomial Denominators |
| 7.10. Equations With Algebraic Fractions |
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| Radical Expressions and Geometry |
| 8.1. Simplifying Radical Expressions |
| 8.2. Solving Equations Using Square Roots |
| 8.3. Adding And Subtracting Radical Expressions |
| 8.4. Multiplying Radical Expressions |
| 8.5. Dividing Radical Expressions |
| 8.6. Rationalizing The Denominator |
| 8.7. Rationalizing The Denominator With Binomial Denominators |
| 8.8. The Law Of Pythagoras |
| 8.9. The Distance Formula |
| 8.10. The Mid-point Formula |
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| Quadratic Equations |
| 9.1. Factoring Quadratics Equations |
| 9.2. Solving Quadratics Equations By Using Square Roots |
| 9.3. Solving Quadratics Equations By Completing The Square |
| 9.4. The Quadratic Formula |
| 9.5. Quadratic Graphs |
| 9.6. The Discriminant |
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| Algebra Word Problems |
| 10.1. Introduction To Algebra Word Problems |
| 10.2. Number Problems |
| 10.3. Rate, Time, And Distance Problems |
| 10.4. Mixture Problems |
| 10.5. Work Problems |
| 10.6. Age Problems |
| 10.7. Investment Problems |