
Student's Solution Manual Intermediate Algebra
by Miller, Julie; O'Neill, Molly; Hyde, Nancy-
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Summary
Table of Contents
Review of Basic Algebraic Concepts | |
Sets of Number and Interval Notation | |
Operation on Real Numbers | |
Simplifying Expressions | |
Linear Equations in One Variable | |
Problem Recognition Exercises: Expressions and Equations | |
Applications of Linear Equations in One Variable | |
Literal Equations and Applications to Geometry | |
Linear Inequalities in One Variable | |
Properties of Integer Exponents and Scientific Notation | |
Graphing Linear Equations and Functions | |
Linear Equations in Two Variables | |
Slope of a Line | |
Problem Recognition Exercises: Intercepts and Slope | |
Equations of a Line | |
Application of Linear Equations and Modeling | |
Introduction to Relations | |
Introduction to Functions | |
Graphs of Basic Functions | |
Systems of Linear Equations | |
Solving Systems of Linear Equations by Graphing | |
Solving Systems of Linear Equations by Using the Substitution Method | |
Solving Systems of Linear Equations by Using the Addition Method | |
Problem Recognition Exercises: Method of Solving Systems of Equations | |
Applications of Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables and Applications | |
Solving Systems of Linear Equations by Using Matrices | |
Polynomials | |
Addition and Subtraction of Polynomials and Polynomial Functions. | |
Multiplication of Polynomials | |
Division of Polynomials | |
Problem Recognition Exercises: Operations on Polynomials | |
Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials | |
Factoring Binomials | |
Additional Factoring Strategies | |
Solving Equations by Using the Zero Product Rule | |
Rational Expressions and Rational Equations | |
Rational Expressions and Rational Functions | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Complex Fractions | |
Problem Recognition Exercises: Simplifying Rational Expressions | |
Solving Rational Equations | |
Problem Recognition Exercises: Rational Expressions and Equations | |
Applications of Rational Equations and Proportions | |
Variation | |
Radicals and Complex Numbers | |
Definition of an nth-Root | |
Rational Exponents | |
Simplifying Radical Expressions | |
Addition and Subtraction of Radicals | |
Multiplication of Radicals | |
Problem Recognition Exercises: Operations on Radical Expressions | |
Rationalization | |
Solving Radical Equations | |
Complex Numbers | |
Quadratic Equations and Functions | |
Square Root Property and Completing the Square | |
Quadratic Formula | |
Equations in Quadratic Form | |
Problem Recognition Exercises: Recognizing Equation Types | |
Graphs of Quadratic Functions | |
Applications of Quadratic Functions and Modeling | |
More Equations and Inequalities | |
Compound Inequalities | |
Polynomial and Rational Inequalities | |
Absolute Value Equations | |
Absolute Value Inequalities | |
Problem Recognition Exercises: Equations and Inequalities | |
Linear Inequalities in Two Variables | |
Exponential and Logarithmic Functions | |
Algebra and Composition of Functions | |
Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
The Irrational Number e | |
Problem Recognition Exercises: Logarithmic and Exponential Forms | |
Exponential and Logarithmic Equations | |
Conic Sections | |
Distance Formula, Midpoint, and Circles | |
More of the Parabola | |
The Ellipse and Hyperbola | |
Problem Recognition Exercises: Identifying and Graphing Conic Sections | |
Nonlinear Systems of Equations in Two Variables | |
Nonlinear Inequalities and System if Inequalities | |
Additional Topics Appendix | |
Binomial Expansions | |
Determinants and Cramer’s Rule | |
Sequences and Series | |
Arithmetic and Geometric Sequences and Series | |
Table of Contents provided by Publisher. All Rights Reserved. |
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