Test Bank For Algebra for College Students 9th Edition

Description

Test Bank For Algebra for College Students 9th Edition

• Study Skill 1: Using Your Math Text
• Study Skill 2: Reading Your Math Text
• Study Skill 3: Taking Lecture Notes
• Study Skill 4: Completing Your Homework
• Study Skill 5: Using Study Cards
• Study Skill 6: Managing Your Time
• Study Skill 7: Reviewing a Chapter
• Study Skill 8: Taking Math Tests
• Study Skill 9: Analyzing Your Test Results
• Study Skill 10: Preparing for Your Math Final

R. Review of the Real Number System

• R.1 Fractions, Decimals, and Percents
• R.2 Basic Concepts from Algebra
• R.3 Operations on Real Numbers
• R.3 Exponents, Roots, and Order of Operations
• R.4 Properties of Real Numbers
• Chapter R Summary
• Chapter R Test

1. Linear Equations, Inequalities, and Applications

• 1.1 Linear Equations in One Variable
• 1.2 Formulas and Percent
• 1.3 Applications of Linear Equations
• 1.4 Further Applications of Linear Equations
• Summary Exercises: Applying Problem-Solving Techniques
• 1.5 Linear Inequalities in One Variable
• 1.6 Set Operations and Compound Inequalities
• 1.7 Absolute Value Equations and Inequalities
• Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities
• Study Skills: Reviewing a Chapter
• Chapter 1 Summary
• Chapter 1 Review Exercises
• Chapter 1 Mixed Review Exercises
• Chapter 1 Test
• Chapters R and 1 Cumulative Review Exercises

2. Linear Equations, Graphs, and Functions

• 2.1 Linear Equations in Two Variables
• 2.2 The Slope of a Line
• 2.3 Writing Equations of Lines
• Summary Exercises: Finding Slopes and Equations of Lines
• 2.4 Linear Inequalities in Two Variables
• 2.5 Introduction to Relations and Functions
• 2.6 Function Notation and Linear Functions
• Chapter 2 Summary
• Chapter 2 Review Exercises
• Chapter 2 Mixed Review Exercises
• Chapter 2 Test
• Chapters R – 2 Cumulative Review Exercises

3. Systems of Linear Equations

• 3.1 Systems of Linear Equations in Two Variables
• 3.2 Systems of Linear Equations in Three Variables
• 3.3 Applications of Systems of Linear Equations
• Chapter 3 Summary
• Chapter 3 Review Exercises
• Chapter 3 Mixed Review Exercises
• Chapter 3 Test
• Chapters R – 3 Cumulative Review Exercises

4. Exponents, Polynomials, and Polynomial Functions

• 4.1 Integer Exponents and Scientific Notation
• 4.2 Adding and Subtracting Polynomials
• 4.3 Polynomial Functions, Graphs, and Composition
• 4.4 Multiplying Polynomials
• 4.5 Dividing Polynomials
• Chapter 4 Summary
• Chapter 4 Review Exercises
• Chapter 4 Mixed Review Exercises
• Chapter 4 Test
• Chapters R – 4 Cumulative Review Exercises

5. Factoring

• 5.1 Greatest Common Factors and Factoring by Grouping
• 5.2 Factoring Trinomials
• 5.3 Special Factoring
• 5.4 A General Approach to Factoring
• 5.5 Solving Equations by the Zero-Factor Property
• Chapter 5 Summary
• Chapter 5 Review Exercises
• Chapter 5 Mixed Review Exercises
• Chapter 5 Test
• Chapters R–5 Cumulative Review Exercises

6. Rational Expressions and Functions

• 6.1 Rational Expressions and Functions; Multiplying and Dividing
• 6.2 Adding and Subtracting Rational Expressions
• 6.3 Complex Fractions
• 6.4 Equations with Rational Expressions and Graphs
• Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations
• 6.5 Applications of Rational Expressions
• 6.6 Variation
• Chapter 6 Summary
• Chapter 6 Review Exercises
• Chapter 6 Mixed Review Exercises
• Chapter 6 Test
• Chapters R – 6 Cumulative Review Exercises

7. Roots, Radicals, and Root Functions

• 7.1 Radical Expressions and Graphs
• 7.2 Rational Exponents
• 7.3 Simplifying Radicals, the Distance Formula, and Circles
• 7.4 Adding and Subtracting Radical Expressions
• 7.5 Multiplying and Dividing Radical Expressions
• Summary Exercises: Performing Operations with Radicals and Rational Exponents
• 7.6 Solving Equations with Radicals
• 7.7 Complex Numbers
• Chapter 7 Summary
• Chapter 7 Review Exercises
• Chapter 7 Mixed Review Exercises
• Chapter 7 Test
• Chapters R – 7 Cumulative Review Exercises

8. Quadratic Equations and Inequalities

• 8.1 The Square Root Property and Completing the Square
• 8.2 The Quadratic Formula
• 8.3 Equations That Lead to Quadratic Methods
• Summary Exercises: Applying Methods for Solving Quadratic Equations
• 8.4 Formulas and Further Applications
• 8.5 Polynomial and Rational Inequalities
• Chapter 8 Summary
• Chapter 8 Review Exercises
• Chapter 8 Mixed Review Exercises
• Chapter 8 Test
• Chapters R – 8 Cumulative Review Exercises

9. Additional Graphs of Functions and Relations

• 9.1 Review of Operations and Composition
• 9.2 Graphs of Quadratic Functions
• 9.3 More About Parabolas and Their Applications
• 9.4 Symmetry; Increasing and Decreasing Functions
• 9.5 Piecewise Linear Functions
• Chapter 9 Summary
• Chapter 9 Review Exercises
• Chapter 9 Mixed Review Exercises
• Chapter 9 Test
• Chapters R – 9 Cumulative Review Exercises

10. Inverse, Exponential, and Logarithmic Functions

• 10.1 Inverse Functions
• 10.2 Exponential Functions
• 10.3 Logarithmic Functions
• 10.4 Properties of Logarithms
• 10.5 Common and Natural Logarithms
• 10.6 Exponential and Logarithmic Equations; Further Applications
• Chapter 10 Summary
• Chapter 10 Review Exercises
• Chapter 10 Mixed Review Exercises
• Chapter 10 Test
• Chapters R–10 Cumulative Review Exercises

11. Polynomial and Rational Functions

• 11.1 Zeros of Polynomial Functions (I)
• 11.2 Zeros of Polynomial Functions (II)
• 11.3 Graphs and Applications of Polynomial Functions
• Summary Exercises: Examining Polynomial Functions and Graphs
• 11.4 Graphs and Applications of Rational Functions
• Chapter 11 Summary
• Chapter 11 Review Exercises
• Chapter 11 Mixed Review Exercises
• Chapter 11 Test
• Chapters R – 11 Cumulative Review Exercises

12. Conic Sections and Nonlinear Systems

• 12.1 Circles Revisited and Ellipses
• 12.2 Hyperbolas and Functions Defined by Radicals
• 12.3 Nonlinear Systems of Equations
• 12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming
• Chapter 12 Summary
• Chapter 12 Review Exercises
• Chapter 12 Mixed Review Exercises
• Chapter 12 Test
• Chapters R – 12 Cumulative Review Exercises

13. Further Topics in Algebra

• 13.1 Sequences and Series
• 13.2 Arithmetic Sequences
• 13.3 Geometric Sequences
• 13.4 The Binomial Theorem
• 13.5 Mathematical Induction
• 13.6 Counting Theory
• 13.7 Basics of Probability
• Chapter 13 Summary
• Chapter 13 Review Exercises
• Chapter 13 Mixed Review Exercises
• Chapter 13 Test
• Chapters R–13 Cumulative Review Exercises

Appendices

• A. Solving Systems of Linear Equations by Matrix Methods
• B. Determinants and Cramer’s Rule
• C. Properties of Matrices
• D. Matrix Inverses

Photo Credits

Answers to Selected Exercises

Index