Algebra: A Combined Approach, 6th edition

Elayn Martin-Gay

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Elayn Martin-Gay is known for her accessible writing style with built-in support, including an emphasis on study skills. In Algebra: A Combined Approach, Elayn supports student success through her accessible writing style and tools to increase study skills. Features in the text and other learning resources help you reinforce concepts and tie skills together. End-of-chapter support helps you when preparing for a test. The 6th Edition updates exercise sets and applications throughout, adds new Getting Ready for the Test exercises, offers a new Key Concept and Activity Lab Workbook, and much more.

ISBN-13: 9780136881186

Subject: Developmental Math

Category: Beginning & Intermediate Algebra Combined

R. Prealgebra Review

R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test

1. Real Numbers and Introduction to Algebra

1.1 Study Skills Tips for Sucess in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Expnents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
Integrated Review - Operations on Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test

2. Equations, Inequalities, and Problem Solving

2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations
Integrated Review - Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Linear Inequalities and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

3. Graphing Equations and Inequalities

3.1 Reading Graphs and the Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
Integrated Review - Summary on Solving Linear Equations
3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

4. Systems of Equations

4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
Integrated Review - Summary on Solving Systems of Equations
4.3 Solving Systems of Linear Equations by Addtion
4.4 Systems of Linear Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

5. Exponents and Polynomials

5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
Integrated Review - Exponents and Operations on Polynomials
5.7 Dividing Polynomials
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

6. Factoring Polynomials

6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x² + bx + c
6.3 Factoring Trinomials of the Form ax² + bx + c
6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping
6.5 Factoring by Special Products
Integrated Review - Choosing a Factoring Strategy
6.6 Solving Quadratic Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

7. Rational Expressions

7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions
Integrated Review - Summary on Rational Expressions
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

8. Graphs and Functions

8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions
Integrated Review - Linear Equations in Two Variables and Functions
8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

9. Systems of Equations and Inequalities and Variation

9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
9.2 Solving Systems of Equations Using Matrices
Integrated Review - Systems of Linear Equations
9.3 Systems of Linear Inequalities
9.4 Variation and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

10. Rational Exponents, Radicals, and Complex Numbers

10.1 Radical Expressions and Radical Functions
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Adding, Subtracting, and Multiplying Radical Expressions
10.5 Rationalizing Numerators and Denominators of Radical Expressions
Integrated Review - Radicals and Rational Exponents
10.6 Radical Equations and Problem Solving
10.7 Complex Numbers
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

11. Quadratic Equations and Functions

11.1 Solving Quadratic Equations by Completing the Square
11.2 Solving Quadratic Equations by Using the Quadratic Formula
11.3 Solving Equations by Using Quadratic Methods
Integrated Review - Summary on Solving Quadratic Equations
11.4 Nonlinear Inequalities in One Variable
11.5 Quadratic Functions and Their Graphs
11.6 Further Graphing of Quadratic Functions
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

12. Exponential and Logarithmic Functions

12.1 The Algebra of Functions
12.2 Inverse Functions
12.3 Exponential Functions
12.4 Exponential Functions
12.5 Logarithmic Functions
12.6 Properties of Logarithms
Integrated Review - Functions and Properties of Logarithms
12.7 Common Logarithms, Natural Logarithms, and Change of Base
12.8 Exponential and Logarithmic Equations and Problem Solving
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

13. Conic Sections

13.1 The Parabola and the Circle
13.2 The Ellipse and the Hyperbola
Integrated Review - Graphing Conic Sections
13.3 Solving Nonlinear Systems of Equations
13.4 Nonlinear Inequalities and Systems of Inequalities
Group Activity
Vocabulary Check
Chapter Highlights
Chapter Review
Chapter Test
Cumulative Review

Appendices

A. Transition Review: Exponents, Polynomials, and Factoring Strategies
B. Transition Review: Solving Linear and Quadratic Equations
C. Sets and Compound Inequalities
D. Absolute Value Equations and Inequalities
E. Determinants and Cramer’s Rule
F. Review of Angles, Lines, and Special Triangles
G. Stretching and Compressing Graphs of Absolute Value Functions
H. An Introduction to Using a Graphing Utility