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Real Numbers and Their Properties | |
The Real Numbers | |
Fractions | |
Addition and Subtraction of Real Numbers | |
Multiplication and Division of Real Numbers | |
Exponential Expressions and the Order of Operations | |
Algebraic Expressions | |
Properties of the Real Numbers | |
Using the Properties to Simplify Expressions | |
Linear Equations and Inequalities in One Variable | |
The Addition and Multiplication Properties of Equality | |
Solving General Linear Equations | |
More Equations | |
Formulas | |
Translating Verbal Expressions into Algebraic Expressions | |
Number, Geometric, and Uniform Motion Applications | |
Discount, Investment, and Mixture Applications | |
Inequalities | |
Solving Inequalities and Applications | |
Linear Equations in Two Variables and Their Graphs | |
Graphing Lines in the Coordinate Plane | |
Slope | |
Equations of Lines in Slope-Intercept Form | |
The Point-Slope Form | |
Variation | |
Systems of Linear Equations and Inequalities | |
The Graphing Method | |
The Substitution Method | |
The Addition Method | |
Graphing Linear Inequalities in Two Variables | |
Graphing Systems of Linear Inequalities | |
Polynomials and Exponents | |
Addition and Subtraction of Polynomials | |
Multiplication of Polynomials | |
Multiplication of Binomials | |
Special Products | |
Division of Polynomials | |
Nonnegative Integral Exponents | |
Negative Exponents and Scientific Notation | |
Factoring | |
Factoring Out Common Factors | |
Factoring the Special Products and Factoring by Grouping | |
Factoring ax^2 + bx + c with a=1 | |
Factoring ax^2 + bx + c with a not equal to 1 | |
Factoring a Difference or Sum of Two Cubes | |
Solving Quadratic Equations by Factoring | |
Rational Expressions | |
Reducing Rational Expressions | |
Multiplication and Division | |
Finding the Least Common Denominator | |
Addition and Subtraction | |
Complex Fractions | |
Solving Equations with Rational Expressions | |
Applications of Ratios and Proportions | |
Applications of Rational Expressions | |
Powers and Roots | |
Roots, Radicals, and Rules | |
Simplifying Square Roots | |
Operations with Radicals | |
Solving Equations with Radicals and Exponents | |
Fractional Exponents | |
Quadratic Equations, Parabolas, and Functions | |
The Square Root Property and Factoring | |
Completing the Square | |
The Quadratic Formula | |
Applications of Quadratic Equations | |
Complex Numbers | |
Graphing Parabolas | |
Introduction to Functions | |
Combining Functions | |
Geometry Review | |
Table of Squares and Square Roots | |
Common Logarithms | |
Answers to Selected Exercises | |
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