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1.1: Exponents, Order of Operations, and Inequality |
1.2: Variables, Expressions, and Equations |
1.3: Real Numbers and the Number Line |
1.4: Adding and Subtracting Real Numbers |
1.5: Multiplying and Dividing Real Numbers |
1.6: Properties of Real Numbers |
1.7: Simplifying Expressions |
2.1: The Addition Property of Equality |
2.2: The Multiplication Property of Equality |
2.3: Solving Linear Equations Using Both Properties of Equality |
2.4: Clearing Fractions and Decimals When Solving Linear Equations |
2.5: Applications of Linear Equations |
2.6: Formulas and Additional Applications from Geometry |
2.7: Ratio, Proportion, and Percent |
2.8: Further Applications of Linear Equations |
2.9: Solving Linear Inequalities |
3.1: Linear Equations and Rectangular Coordinates |
3.2: Graphing Linear Equations in Two Variables |
3.3: The Slope of a Line |
3.4: Slope-Intercept Form of a Linear Equation |
3.5: Point-Slope Form of a Linear Equation and Modeling |
3.6: Graphing Linear Inequalities in Two Variables |
3.7: Introduction to Functions |
4.1: Solving Systems of Linear Equations by Graphing |
4.2: Solving Systems of Linear Equations by Substitution |
4.3: Solving Systems of Linear Equations by Elimination |
4.4: Applications of Linear Systems |
4.5: Solving Systems of Linear Inequalities |
5.1: The Product Rule and Power Rules for Exponents |
5.2: Integer Exponents and the Quotient Rule |
5.3: Scientific Notation |
5.4: Adding, Subtracting, and Graphing Polynomials |
5.5: Multiplying Polynomials |
5.6: Special Products |
5.7: Dividing Polynomials |
6.1: Greatest Common Factors; Factoring by Grouping |
6.2: Factoring Trinomials |
6.3: More on Factoring Trinomials |
6.4: Special Factoring Techniques |
6.5: Solving Quadratic Equations Using the Zero-Factor Property |
6.6: Applications of Quadratic Equations |
7.1: The Fundamental Property of Rational Expressions |
7.2: Multiplying and Dividing Rational Expressions |
7.3: Least Common Denominators |
7.4: Adding and Subtracting Rational Expressions |
7.5: Complex Fractions |
7.6: Solving Equations with Rational Expressions |
7.7: Applications of Rational Expressions |
7.8: Variation |
8.1: Evaluating Roots |
8.2: Multiplying, Dividing, and Simplifying Radicals |
8.3: Adding and Subtracting Radicals |
8.4: Rationalizing the Denominator |
8.5: More Simplifying and Operations with Radicals |
8.6: Solving Equations with Radicals |
9.1: Solving Quadratic Equations by the Square Root Property |
9.2: Solving Quadratic Equations by Completing the Square |
9.3: Solving Quadratic Equations by the Quadratic Formula |
9.4: Graphing Quadratic Equations |