Algebra for College Students
1. SOME BASIC CONCEPTS OF ARITHMETIC AND ALGEBRA. Numerical and Algebraic Expressions. Prime and Composite Numbers. Integers: Addition and Subtraction. Integers: Multiplication and Division. Use of Properties. Summary. Review Problem Set. Test. 2. REAL NUMBERS. Rational Numbers: Multiplication and Division. Addition and Subtraction of Rational Numbers. Real Numbers and Algebraic Expressions. Exponents. Translating from English to Algebra. Summary. Review Problem Set. Test. Cumulative Review Problem Set (Chapters 1-2). 3. EQUATIONS; INEQUALITIES; AND PROBLEM SOLVING. Solving First-Degree Equations. Equations and Problem Solving. More on Solving Equations and Problem Solving. Equations Involving Parentheses and Fractional Forms. Inequalities. Inequalities; Compound Inequalities; and Problem Solving. Summary. Review Problem Set. Test. 4. FORMULAS AND PROBLEM SOLVING. Ratio; Proportion; and Percent. More on Percents and Problem Solving. Formulas. Problem Solving. More on Problem Solving. Summary. Review Problem Set. Test. Cumulative Review Chapters 1-4. 5. EXPONENTS AND POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplying Monomials. Multiplying Polynomials. Dividing by Monomials. Dividing by Binomials. Integral Exponents and Scientific Notation. Summary. Review Problem Set. Test. Cumulative Review Chapters 1-5. 6. FACTORING; SOLVING EQUATIONS; AND PROBLEM SOLVING. Factoring by Using the Distributive Property. Factoring the Difference of Two Squares. Factoring Trinomials of the Form x^2+ bx + c. Factoring Trinomials of the Form ax^2 + bx + c. Factoring; Solving Equations; and Problem Solving. Summary. Review Problem Set. Test. 7. ALGEBRAIC FRACTIONS. Simplifying Algebraic Fractions. Multiplying and Dividing Algebraic Fractions. Adding and Subtracting Algebraic Fractions. Addition and Subtraction of Algebraic Fractions and Complex Fractions. Fractional Equations and Problem Solving. More Fractional Equations and Problem Solving. Summary. Review Problem Set. Test. Cumulative Review Chapters 1-7. 8. COORINATE GEOMETRY AND LINEAR SYSTEMS. Cartesian Coordinate System. Graphing Linear Equations and Inequalities. Slope of a Line. Writing Equations of Lines. Systems of Two Linear Equations. Elimination-by-Addition Method. Summary. Review Problem Set. Test. 9. ROOTS AND RADICALS. Roots and Radicals. Simplifying Radicals. More on Simplifying Radicals. Products and Quotients Involving Radicals. Solving Radical Equations. Summary. Review Problem Set. Test. Cumulative Review Chapters 1-9. 10. QUADRATIC EQUATIONS. Quadratic Equations. Completing the Square. Quadratic Formula. Solving Quadratic Equations - Which Method? Solving Problems Using Quadratic Equations. Summary. Review Problem Set. Test. 11. ADDITIONAL TOPICS. Equations and Inequalities Involving Absolute Zero. 3x3 Systems of Equations. Fractional Exponents. Complex Numbers. Quadratic Equations: Complex Solutions. Pie; Bar; and Line Graphs. Relations and Functions. Applications of Functions. Summary. Review Problem Set. Test. Appendix A: Table of Squares and Approximate Square Roots. Appendix B: Extra Word Problems. Answers to Odd-Numbered Problems and All Chapter Review; Chapter Test; Cumulative Review; and Appendix B Problems. Answers to Selected Even-Numbered Problems. Index.