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Table of Contents
1. Review of Real Numbers
1.1 Study Skill Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Fractions and Mixed Numbers
1.4 Exponents, Order of Operations, Variable Expressions, and Equations
1.5 Adding Real Numbers
1.6 Subtracting Real Numbers
Integrated Review–Operations on Real Numbers
1.7 Multiplying and Dividing Real Numbers
1.8 Properties of Real Numbers
2. Equations, Inequalities, and Problem Solving
2.1 Simplifying Algebraic Expressions
2.2 The Addition Property of Equality
2.3 The Multiplication Property of Equality
2.4 Solving Linear Equations
Integrated Review–Solving Linear Equations
2.5 An Introduction to Problem Solving
2.6 Formulas and Problem Solving
2.7 Percent and Mixture Problem Solving
2.8 Further Problem Solving
2.9 Solving Linear Inequalities
3. Graphing
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 Slope and Graphing Linear Equations
3.5 Equations of Lines
3.6 Functions
4. Solving Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Addition
Integrated Review–Solving Systems of Equations
4.4 Systems of Linear Equations and Problem Solving
4.5 Graphing Linear Inequalities
4.6 Systems of Linear Inequalities
5. Exponents and Polynomials
5.1 Exponents
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Special Products
Integrated Review–Exponents and Operations on Polynomials
5.5 Negative Exponents and Scientific Notation
5.6 Dividing Polynomials
6. Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x 2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
6.5 Factoring Binomials
Integrated Review–Choosing a Factoring Strategy
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
7. Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least
Common Denominator
7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
7.5 Solving Equations Containing Rational Expressions
Integrated Review–Summary on Rational Expressions
7.6 Proportion and Problem Solving with Rational Equations
7.7 Variation and Problem Solving
7.8 Simplifying Complex Fractions
8. Roots and Radicals
8.1 Introduction to Radicals
8.2 Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Multiplying and Dividing Radicals
Integrated Review–Simplifying Radicals
8.5 Solving Equations Containing Radicals
8.6 Radical Equations and Problem Solving
8.7 Rational Exponents
9. Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
Integrated Review–Summary on Solving Quadratic Equations
9.4 Complex Solutions of Quadratic Equations
9.5 Graphing Quadratic Equations
Appendices
A Geometry
B Additional Exercises on Proportion and Proportion Applications
C Operations on Decimals
D Mean, Median, and Mode
E Tables
Contents of Student Resources
Student Resources
Study Skills Builders
Bigger Picture–Study Guide Outline
Practice Final Exam
Get Beginning Algebra, 7th Edition by Elayn Martin-Gay, University of New Orleans, Lakefront
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