Review of the Real Number System | |
Basic Concepts | |
Operations on Real Numbers | |
Exponents, Roots, and Order of Operations | |
Properties of Real Numbers | |
Linear Equations, Inequalities, and Applications | |
Linear Equations in One Variable Formulas | |
Applications of Linear Equations | |
Further Applications of Linear Equations | |
Summary Exercises on Solving Applied Problems | |
Linear Inequalities in One Variable | |
Set Operations and Compound Inequalities | |
Absolute Value Equations and Inequalities | |
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities | |
Graphs, Linear Equations, and Functions | |
The Rectangular Coordinate System | |
The Slope of a Line | |
Linear Equations in Two Variables | |
Linear Inequalities in Two Variables to Functions Variation | |
Systems of Linear Equations of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables Applications of Systems of Linear Equations | |
Solving Systems of Linear Equations by Matrix Methods | |
Determinants and Cramer's Rule | |
Exponents, Polynomials, and Polynomial Functions | |
Integer Exponents and Scientific Notation | |
Adding and Subtracting Polynomials | |
Polynomial Functions | |
Multiplying Polynomials | |
Dividing Polynomials | |
Factoring | |
Greatest Common Factors; Factoring by Grouping Factoring Trinomials | |
Special Factoring | |
A General Approach to Factoring | |
Solving Equations by Factoring | |
Rational Expressions and Functions | |
Rational Expressions and Functions; Multiplying and Dividing | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Equations with Rational Expressions and Graphs | |
Summary Exercises on Operations and Equations with Rational Expressions | |
Applications of Rational Expressions | |
Roots, Radicals, and Root Functions | |
Radical Expressions and Graphs | |
Rational Exponents | |
Simplifying Radical Expressions | |
Adding and Subtracting Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Summary Exercises on Operations with Radicals | |
Solving Equations with Radicals | |
Complex Numbers | |
Quadratic Equations and Inequalities | |
The Square Root Property and Completing the Square | |
The Quadratic Formula | |
Equations Quadratic in Form | |
Summary Exercises on Solving Quadratic Equations | |
Formulas and Further Applications | |
Quadratic and Rational Inequalities | |
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