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# Discovering Skills in Algebra

by J. Louis Nanney, John L. Cable, Linda Tully, Theresa Shustrick, and Joe Wilson

Developing Skills in Algebra is designed for the student who needs a comprehensive review of the topics from elementary and intermediate algebra. This textbook uses the topics covered by many schools in an intermediate algebra course. Within the reader friendly styled text, students will find the algebraic skills necessary to prepare them for courses in college algebra and trigonometry. New topics are presented with expanded explanations, a progression of examples and colorful diagrams, aiding visual learners in their understanding of formulas. To help build a strong foundation and ensure understanding, students will have plenty of opportunity for practice before proceeding to the next concept.

Formats: Textbook

Product ISBN
Textbook 978‑1‑932628‑22‑7

## Table of Contents

1. Chapter 1: Fundamental Concepts
1. 1−1 Addition of Real Numbers
2. 1−2 Subtraction of Real Numbers
3. 1−3 Multiplication and Division of Real Numbers
4. 1−4 Positive Whole Number Exponents
5. 1−5 Algebraic Expressions and Combining Similar Terms
6. 1−6 The Product of a Monomial and Another Polynomial
7. 1−7 Order of Operations and Grouping Symbols
8. 1−8 Evaluating Algebraic Expressions and Using Formulas
2. Chapter 2: First-Degree Equations and Inequalities: One Unknown
1. 2−1 Conditional Equations
2. 2−2 Rules for Solving First-Degree Equations
3. 2−3 Combining Rules to Solve First-Degree Equations
4. 2−4 Literal Equations
5. 2−5 First-Degree Inequalities
6. 2−6 Absolute Value Equations and Inequalities
3. Chapter 3: Solving Word Problems
1. 3−1 From Words to Algebra
2. 3−2 An Introduction to Solving Word Problems
3. 3−3 Distance-Rate-Time Problems
4. 3−4 Mixture Problems
4. Chapter 4: Products and Factoring
1. 4−1 The Product of Polynomials
2. 4−2 Factoring Polynomials: The Greatest Common Factor
3. 4−3 Factoring by Grouping
4. 4−4 Factoring Trinomials
5. 4−5 Factoring Trinomials - The Key Number (optional)
6. 4−6 Formulas for Factoring Special Products
7. 4−7 Complete Factorization
8. 4−8 Long Division of Polynomials
5. Chapter 5: Rational Expressions
1. 5−1 Simplifying Rational Expressions
2. 5−2 Multiplication and Division of Rational Expressions
3. 5−3 Finding the Least Common Denominator
4. 5−4 Adding Rational Expressions
5. 5−5 Subtracting Rational Expressions
6. 5−6 Simplifying Complex Fractions
7. 5−7 Rational Equations
6. Chapter 6: Exponents and Radicals
1. 6−1 The Laws of Exponents
2. 6−2 Integer Exponents and Scientific Notation
3. 6−3 Radicals
4. 6−4 Rational Exponents
5. 6−5 Simplification of Radicals
6. 6−6 Operations with Radicals
7. 6−7 Rationalizing Denominators
7. Chapter 7: Quadratic Equations
1. 7−1 Quadratics Solved by Factoring
2. 7−2 Incomplete Quadratic Equations
3. 7−3 Solving Quadratic Equations by Completing the Square
4. 7−4 Solving Quadratic Equations by Formula
5. 7−5 Word Problems
6. 7−6 The Discriminant
7. 7−7 Complex Numbers
8. 7−8 Equations with Radicals
9. 7−9 Equations Quadratic in Form
8. Chapter 8: Relations and the Cartesian Coordinate System
1. 8−1 Cartesian Coordinate System and Graphing Equations in Two Variables
2. 8−2 Functions
3. 8−3 Linear Equations in Two Variables
4. 8−4 Solving Systems of Equations in Two Variables by Graphing
5. 8−5 The Algebraic Solution of a System of Two Linear Equations
6. 8−6 Graphing Linear Inequalities
7. 8−7 Graphical Solution of a System of Linear Inequalities
8. 8−8 The Algebraic Solution of Three Equations with Three Variables