Elementary algebra

Synopsis

Chapter 1 Real Numbers and Their Properties 1.1 The Real Numbers 1.2 Fractions 1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations 1.6 Algebraic Expressions 1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions Chapter 2 Linear Equations and Inequalities in One Variable 2.1 The Addition and Multiplication Properties of Equality 2.2 Solving General Linear Equations 2.3 More Equations 2.4 Formulas 2.5 Translating Verbal Expressions into Algebraic Expressions 2.6 Number, Geometric, and Uniform Motion Applications 2.7 Discount, Investment, and Mixture Applications 2.8 Inequalities 2.9 Solving Inequalities and Applications Chapter 3 Linear Equations in Two Variables and Their Graphs 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope 3.3 Equations of Lines in Slope-Intercept Form 3.4 The Point-Slope Form 3.5 Variation Chapter 4 Systems of Linear Equations and Inequalities 4.1 The Graphing Method 4.2 The Substitution Method 4.3 The Addition Method 4.4 Graphing Linear Inequalities in Two Variables 4.5 Graphing Systems of Linear Inequalities Chapter 5 Polynomials and Exponents 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Multiplication of Binomials 5.4 Special Products 5.5 Division of Polynomials 5.6 Nonnegative Integral Exponents 5.7 Negative Exponents and Scientific Notation Chapter 6 Factoring 6.1 Factoring Out Common Factors 6.2 Factoring the Special Products and Factoring by Grouping 6.3 Factoring ax^2 + bx + c with a = 1 6.4 Factoring ax^2 + bx + c with a not = to 1 6.5 Factoring a Difference or Sum of Two Cubes 6.6 Solving Quadratic Equations by Factoring Chapter 7 Rational Expressions 7.1 Reducing Rational Expressions 7.2 Multiplication and Division 7.3 Finding the Least Common Denominator 7.4 Addition and Subtraction 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Ratios and Proportions 7.8 Applications of Rational Expressions Chapter 8 Powers and Roots 8.1 Roots, Radicals, and Rules 8.2 Simplifying Square Roots 8.3 Operations with Radicals 8.4 Solving Equations with Radicals and Exponents 8.5 Fractional Exponents Chapter 9 Quadratic Equations, Parabolas, and Functions 9.1 The Square Root Property and Factoring 9.2 Completing the Square 9.3 The Quadratic Formula 9.4 Applications of Quadratic Equations 9.5 Complex Numbers 9.6 Graphing Parabolas 9.7 Introduction to Functions 9.8 Combining Functions Appendix A Geometry Review Exercises Appendix B Sets Appendix C Final Exam Review