xviii Contents Appendix Review A1 A.1 Algebra Essentials A1 Work with Sets • Graph Inequalities • Find Distance on the Real Number Line • Evaluate Algebraic Expressions • Determine the Domain of a Variable • Use the Laws of Exponents • Evaluate Square Roots • Use a Calculator to Evaluate Exponents A.2 Geometry Essentials A14 Use the Pythagorean Theorem and Its Converse • Know Geometry Formulas • Understand Congruent Triangles and Similar Triangles A.3 Polynomials A22 Recognize Monomials • Recognize Polynomials • Know Formulas for Special Products • Divide Polynomials Using Long Division • Factor Polynomials • Complete the Square A.4 Synthetic Division A31 Divide Polynomials Using Synthetic Division A.5 Rational Expressions A35 Reduce a Rational Expression to Lowest Terms • Multiply and Divide Rational Expressions • Add and Subtract Rational Expressions • Use the Least Common Multiple Method • Simplify Complex Rational Expressions A.6 Solving Equations A44 Solve Linear Equations • Solve Rational Equations • Solve Quadratic Equations by Factoring • Solve Quadratic Equations Using the Square Root Method • Solve Quadratic Equations by Completing the Square • Solve Quadratic Equations Using the Quadratic Formula • Solve Equations Quadratic in Form • Solve Absolute Value Equations • Solve Equations by Factoring A.7 Complex Numbers; Quadratic Equations in the Complex Number System A58 Add, Subtract, Multiply, and Divide Complex Numbers • Solve Quadratic Equations in the Complex Number System A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications A66 Translate Verbal Descriptions into Mathematical Expressions • Solve Interest Problems • Solve Mixture Problems • Solve Uniform Motion Problems • Solve Constant Rate Job Problems A.9 Interval Notation; Solving Inequalities A76 Use Interval Notation • Use Properties of Inequalities • Solve Inequalities • Solve Combined Inequalities • Solve Inequalities Involving Absolute Value A.10 n th Roots; Rational Exponents A87 Work with n th Roots • Simplify Radicals • Rationalize Denominators and Numerators • Solve Radical Equations • Simplify Expressions with Rational Exponents Answers AN1 Subject Index I1
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