Cover of: Intermediate algebra | Miller, Julie

Intermediate algebra

1st ed.

Published by McGraw-Hill Higher Education in Boston .
Written in English.

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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
A. Additional topics (see
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.


Dewey Decimal Class
Library of Congress
QA154.3 .M55 2004

The Physical Object

xxi, 793 pages :
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