Easy algebra step-by-step : master the concepts of algebra and become proficient--quickly! / Sandra Luna McCune, PhD, William D. Clark, PhD.
Provides clear explanations for algebra concepts, including roots and radicals, exponentiation, order of operations, and rational expressions.
Record details
- ISBN: 9781264878796
- ISBN: 1264878796
- Physical Description: viii, 289 pages : illustrations ; 24 cm
- Edition: Third edition.
- Publisher: New York : McGraw-Hill, [2023]
Content descriptions
General Note: | Includes index. |
Formatted Contents Note: | Numbers of algebra -- Computation with real numbers -- Roots and radicals -- Exponentiation -- Order of operations -- Algebraic expressions -- Rules for exponents -- Adding and subtracting polynomials -- Multiplying polynomials -- Simplifying polynomial expressions -- Dividing polynomials -- Factoring polynomials -- Rational expressions -- Solving linear equations and inequalities -- Solving quadratic equations -- The Cartesian coordinate plane -- Graphing linear equations -- The equation of a line -- Basic function concepts -- Systems of equations -- Signal words and phrases -- Word problems. |
Search for related items by subject
Subject: | Algebra. |
Genre: | Problems and exercises. |
Available copies
- 0 of 1 copy available at Missouri Evergreen. (Show)
- 0 of 1 copy available at Lebanon-Laclede County.
Holds
- 0 current holds with 1 total copy.
Show Only Available Copies
Location | Call Number / Copy Notes | Barcode | Shelving Location | Status | Due Date |
---|---|---|---|---|---|
Lebanon-Laclede County Library | 512 McCune (Text) | 3803824532 | Adult Nonfiction | Checked out | 04/26/2024 |
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Easy Algebra Step-By-Step, Third Edition
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Table of Contents
Easy Algebra Step-By-Step, Third Edition
Section | Section Description | Page Number |
---|---|---|
Preface | p. ix | |
1 | Numbers of Algebra | p. 1 |
Natural Numbers, Whole Numbers, and Integers | p. 1 | |
Rational, Irrational, and Real Numbers | p. 4 | |
Properties of the Real Numbers | p. 8 | |
2 | Computation with Real Numbers | p. 14 |
Comparing Numbers and Absolute Value | p. 14 | |
Addition and Subtraction of Signed Numbers | p. 17 | |
Multiplication and Division of Signed Numbers | p. 26 | |
3 | Roots and Radicals | p. 32 |
Squares, Square Roots, and Perfect Squares | p. 32 | |
Cube Roots and nth Roots | p. 36 | |
Simplifying Radicals | p. 39 | |
4 | Exponentiation | p. 44 |
Exponents | p. 44 | |
Natural Number Exponents | p. 45 | |
Zero and Negative Integer Exponents | p. 48 | |
Unit Fraction and Rational Exponents | p. 53 | |
5 | Order of Operations | p. 58 |
Grouping Symbols | p. 58 | |
PEMDAS | p. 60 | |
6 | Algebraic Expressions | p. 64 |
Algebraic Terminology | p. 64 | |
Evaluating Algebraic Expressions | p. 66 | |
Dealing with Parentheses | p. 70 | |
7 | Rules for Exponents | p. 74 |
Product Rule | p. 74 | |
Quotient Rule | p. 75 | |
Rules for Powers | p. 77 | |
Rules for Exponents Summary | p. 79 | |
8 | Adding and Subtracting Polynomials | p. 83 |
Terms and Monomials | p. 83 | |
Polynomials | p. 85 | |
Like Terms | p. 87 | |
Addition and Subtraction of Monomials | p. 88 | |
Combining Like Terms | p. 89 | |
Addition and Subtraction of Polynomials | p. 90 | |
9 | Multiplying Polynomials | p. 94 |
Multiplying Monomials | p. 94 | |
Multiplying Polynomials by Monomials | p. 96 | |
Multiplying Binomials | p. 98 | |
The FOIL Method | p. 99 | |
Multiplying Polynomials | p. 101 | |
Special Products | p. 103 | |
10 | Simplifying Polynomial Expressions | p. 104 |
Identifying Polynomial Expressions | p. 104 | |
Simplifying Polynomial Expressions | p. 106 | |
11 | Dividing Polynomials | p. 110 |
Dividing a Polynomial by a Monomial | p. 110 | |
Dividing a Polynomial by a Polynomial | p. 113 | |
12 | Factoring Polynomials | p. 119 |
Factoring and Its Objectives | p. 119 | |
Greatest Common Factor | p. 120 | |
GCF with a Negative Coefficient | p. 123 | |
A Quantity as a Common Factor | p. 125 | |
Factoring Four Terms | p. 126 | |
Factoring Quadratic Trinomials | p. 127 | |
Factoring Perfect Trinomial Squares | p. 133 | |
Factoring Binomials | p. 134 | |
Guidelines for Factoring | p. 137 | |
13 | Rational Expressions | p. 139 |
Reducing Algebraic Fractions to Lowest Terms | p. 139 | |
Multiplying Algebraic Fractions | p. 143 | |
Dividing Algebraic Fractions | p. 145 | |
Adding (or Subtracting) Algebraic Fractions, Like Denominators | p. 146 | |
Adding (or Subtracting) Algebraic Fractions, Unlike Denominators | p. 148 | |
Simplifying Complex Fractions | p. 151 | |
14 | Solving Linear Equations and Inequalities | p. 154 |
Solving One-Variable Linear Equations | p. 154 | |
Solving Two-Variable Linear Equations for a Specific Variable | p. 159 | |
Solving One-Variable Linear Inequalities | p. 160 | |
15 | Solving Quadratic Equations | p. 163 |
Solving Quadratic Equations of the Form ax 2 + c = 0 | p. 163 | |
Solving Quadratic Equations by Factoring | p. 165 | |
Solving Quadratic Equations by Completing the Square | p. 166 | |
Solving Quadratic Equations by Using the Quadratic Formula | p. 167 | |
16 | The Cartesian Coordinate Plane | p. 171 |
Definitions for the Plane | p. 171 | |
Ordered Pairs in the Plane | p. 171 | |
Quadrants of the Plane | p. 174 | |
Finding the Distance Between Two Points in the Plane | p. 176 | |
Finding the Midpoint Between Two Points in the Plane | p. 177 | |
Finding the Slope of a Line Through Two Points in the Plane | p. 178 | |
Slopes of Parallel and Perpendicular Lines | p. 181 | |
17 | Graphing Linear Equations | p. 184 |
Properties of a Line | p. 184 | |
Graphing a Linear Equation That Is in Standard Form | p. 184 | |
Graphing a Linear Equation That Is in Slope-y-lntercept Form | p. 186 | |
18 | The Equation of a Line | p. 189 |
Determining the Equation of a Line Given the Slope and y-Intercept | p. 189 | |
Determining the Equation of a Line Given the Slope and One Point on the Line | p. 190 | |
Determining the Equation of a Line Given Two Distinct Points on the Line | p. 192 | |
19 | Basic Function Concepts | p. 195 |
Representations of a Function | p. 195 | |
Terminology of Functions | p. 197 | |
Some Common Functions | p. 201 | |
20 | Systems of Equations | p. 205 |
Solutions to a System of Equations | p. 205 | |
Solving a System of Equations by Substitution | p. 206 | |
Solving a System of Equations by Elimination | p. 208 | |
Solving a System of Equations by Graphing | p. 210 | |
21 | Signal Words and Phrases | p. 213 |
Common Signal Words and Phrases for Addition | p. 213 | |
Common Signal Words and Phrases for Subtraction | p. 215 | |
Common Signal Words and Phrases for Multiplication | p. 217 | |
Common Signal Words and Phrases for Division | p. 219 | |
Common Signal Words and Phrases for Equality | p. 221 | |
22 | Word Problems | p. 225 |
Algebraic Problem-Solving Process | p. 225 | |
Be Careful with Units | p. 227 | |
Age Relationships | p. 227 | |
Consecutive Numbers | p. 229 | |
Ratios | p. 231 | |
Mixtures | p. 232 | |
Coins | p. 235 | |
Rate-Time-Distance | p. 237 | |
Work | p. 238 | |
Percentage | p. 240 | |
Simple Interest | p. 243 | |
Number Relationships | p. 244 | |
Geometric Shapes | p. 246 | |
Appendix: Measurement Units and Conversions | p. 249 | |
Answer Key | p. 251 | |
Index | p. 283 |