## Intermediate algebra

×Close# Intermediate algebra

## 1st ed.

## by Miller, Julie

####
Published
**2004**
by
McGraw-Hill Higher Education
in
Boston
.

Written in English.

###### Subjects

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### Table of Contents

1. Review of basic algebraic concepts | ||

1.1. Sets of numbers and interval notation | ||

1.2. Operations on real numbers | ||

1.3. Simplifying expressions | ||

1.4. Linear equations in one variable | ||

Midchapter review | ||

1.5. Applications of linear equations in one variable | ||

1.6. Literal equations and applications to geometry | ||

1.7. Linear inequalities in one variable | ||

Chapter 1 summary | ||

Chapter 1 review exercises | ||

Chapter 1 test | ||

2. Linear equations in two and three variables | ||

2.1. Linear equations in two variables | ||

2.2. Slope of a line | ||

2.3. Equations of a line | ||

2.4. Applications of linear equations and graphing | ||

Midchapter review | ||

2.5. Systems of linear equations in two variables | ||

2.6. Applications of systems of linear equations in two variables | ||

2.7. Systems of linear equations in three variables | ||

2.8. Solving systems of linear equations using matrices | ||

Chapter 2 summary | ||

Chapter 2 review exercises | ||

Chapter 2 test | ||

Cumulative review exercises, chapters 1-2 | ||

3. Introduction to relations and functions | ||

3.1. Introduction to relations | ||

3.2. Introduction to functions | ||

3.3. Graphs of basic functions | ||

Midchapter review | ||

3.4. Additional topics on functions | ||

3.5. Variation | ||

Chapter 3 summary | ||

Chapter 3 review exercises | ||

Chapter 3 test | ||

Cumulative review exercises, chapters 1-3 | ||

4. Polynomials | ||

4.1. Properties of integer exponents and scientific notation | ||

4.2. Polynomial functions and applications | ||

4.3. Addition and subtraction of polynomials | ||

Midchapter review | ||

4.4. Multiplication of polynomials | ||

4.5. Division of polynomials | ||

4.6. Synthetic division | ||

Chapter 4 summary | ||

Chapter 4 review exercises | ||

Chapter 4 test | ||

Cumulative review exercises, chapters 1-4 | ||

5. Radicals and complex numbers | ||

5.1. Definition of an nth-root | ||

5.2. Rational exponents | ||

5.3. Properties of radicals | ||

Midchapter review | ||

5.4. Addition and subtraction of radicals | ||

5.5. Multiplication of radicals | ||

5.6. Rationalization | ||

5.7. Radical equations | ||

5.8. Complex numbers | ||

Chapter 5 summary | ||

Chapter 5 review exercises | ||

Chapter 5 test | ||

Cumulative review exercises, chapters 1-5. | ||

6. Factoring and quadratic functions | ||

6.1. Greatest common factor and factoring by grouping | ||

6.2. Factoring trinomials | ||

6.3. Factoring binomials | ||

Midchapter review : a factoring strategy | ||

6.4. Zero product rule | ||

6.5. Completing the square and the square root property | ||

6.6. Quadratic formula | ||

6.7. Equations in quadratic form | ||

Chapter 6 summary | ||

Chapter 6 review exercises | ||

Chapter 6 test | ||

Cumulative review exercises, chapters 1-6 | ||

7. Quadratic functions and nonlinear systems | ||

7.1. Graphs of quadratic functions | ||

7.2. Applications of quadratic functions | ||

Midchapter review | ||

7.3. Distance formula and circles | ||

7.4. Nonlinear systems of equations in two variables | ||

Chapter 7 summary | ||

Chapter 7 review exercises | ||

Chapter 7 test | ||

Cumulative review exercises, chapters 1-7 | ||

8. Rational expressions | ||

8.1. Introduction to rational functions | ||

8.2. Multiplication and division of rational expressions | ||

8.3. Addition and subtraction of rational expressions | ||

Midchapter review | ||

8.4. Complex fractions | ||

8.5. Rational equations | ||

8.6. Applications of rational equations and proportions | ||

Chapter 8 summary | ||

Chapter 8 review exercises | ||

Chapter 8 test | ||

Cumulative review exercises, chapters 1-8 | ||

9. More equations and inequalities | ||

9.1. Compound inequalities | ||

9.2. Polynomial and rational inequalities | ||

Midchapter review | ||

9.3. Absolute value equations | ||

9.4. Absoluter value inequalities | ||

9.5. Linear inequalities in two variables | ||

Chapter 9 summary | ||

Chapter 9 review exercises | ||

Chapter 9 test | ||

Cumulative review exercises, chapters 1-9 | ||

10. Exponential and logarithmic functions | ||

10.1. Exponential functions | ||

10.2. Logarithmic functions | ||

10.3. Properties of logarithms | ||

10.4. The irrational number, e | ||

Midchapter review | ||

10.5. Exponential and logarithmic equations | ||

Chapter 10 summary | ||

Chapter 10 review exercises | ||

Chapter 10 test | ||

Cumulative review exercises, chapters 1-10 | ||

Student answer appendix | ||

Additional answer appendix | ||

Application index | ||

Index | ||

A. Additional topics (see www.mhhe.com/miller%5Foneill) | ||

A.1. Inverse functions | ||

A.2. Binomial expansions | ||

A.3. More on the parabola | ||

A.4. The ellipse and hyperbola | ||

A.5. The algebra of matrices | ||

A.6. Determinants | ||

A.7. Cramer's rule | ||

A.8. Sequences and series | ||

A.9. Arithmetic and geometric sequences and series. |

### Edition Notes

Includes indexes.

System requirements for accompanying computer disk: Macintosh OS 8.x, 9.x, X; Windows 95, 98, 2000, XP.

### Classifications

### External Links

September 20, 2018 | Created by ImportBot | Initial record created, from Internet Archive item record. |