Introductory & Intermediate Algebra

by D. Franklin Wright

ISBN ListTable of Contents

Introductory & Intermediate Algebra textbook and software

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Introductory and Intermediate Algebra builds a strong foundation for continued studies in mathematics and abstract and reasoning skills. Topics are broken down step-by-step with a plethora of examples so students grasp algebraic concepts easily. A few of the topics covered are linear systems broken down by methodology, percentages with applications, and overall strategies for factoring. Many sections contain questions at the end of exercises that ask students to take a more in-depth look at common mathematical concepts.

Textbook

Introductory & Intermediate Algebra, by D. Franklin Wright 2/E

ISBN

Product 13 Digit ISBN
Courseware + eBook* 978-1-941552-38-4
Courseware + eBook* + Textbook 978-1-941552-39-1
* Included eBook can only be accessed online through the courseware.

Table of Contents

Chapter 1: Real Numbers
1.1a The Real Number Line and Inequalities
1.1b Introduction to Absolute Values
1.2 Addition with Real Numbers
1.3 Subtraction with Real Numbers
1.4 Multiplication and Division with Real Numbers
1.5 Exponents, Prime Numbers, and LCM
1.6a Reducing Fractions
1.6b Multiplication and Division with Fractions
1.7 Addition and Subtraction with Fractions
1.8 Order of Operations
1.9 Properties of Real Numbers
Chapter 2: Algebraic Expressions, Linear Equations, and Applications
2.1a Variables and Algebraic Expressions
2.1b Simplifying Expressions
2.1c Evaluating Algebraic Expressions
2.2 Translating Phrases into Algebraic Expressions
2.3a Solving Linear Equations Using Addition and Subtraction
2.3b Solving Linear Equations Using Multiplication and Division
2.4 Solving Linear Equations
2.5 More Linear Equations: a x + b = c x + d
2.6a Applications: Number Problems and Consecutive Integers
2.6b Applications of Linear Equations: Addition and Subtraction
2.6c Applications of Linear Equations: Multiplication and Division
2.7 Applications with Percent
Chapter 3: Formulas and Linear Inequalities
3.1 Working with Formulas
3.2 Formulas in Geometry
3.3 Applications
3.4 Solving Linear Inequalities
3.5a Solving Absolute Value Equations
3.5b Solving Absolute Value Inequalities
Chapter 4: Linear Equations and Functions
4.1 Introduction to the Cartesian Coordinate System
4.2 Graphing Linear Equations by Plotting Points
4.3 Graphing Linear Equations in Slope-Intercept Form
4.4a Finding the Equation of a Line
4.4b Graphing Linear Equations in Point-Slope Form
4.5 Introduction to Functions and Function Notation
4.6 Graphing Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1 Simplifying Integer Exponents I
5.2a Simplifying Integer Exponents II
5.2b Scientific Notation
5.3 Identifying and Evaluating Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6a The FOIL Method
5.6b Special Products
5.7a Division by a Monomial
5.7b The Division Algorithm
Chapter 6: Factoring Polynomials and Solving Quadratic Equations
6.1a Greatest Common Factor of Two or More Terms
6.1b Greatest Common Factor of a Polynomial
6.1c Factoring Expressions by Grouping
6.2 Factoring Trinomials: Leading Coefficient 1
6.3a Factoring Trinomials by Trial and Error
6.3b Factoring Trinomials by Grouping
6.4a Special Factorizations - Squares
6.4b Special Factorizations - Cubes
6.5 Additional Factoring Practice
6.6 Solving Quadratic Equations by Factoring
6.7 Applications of Quadratic Equations
Chapter 7: Rational Expressions
7.1a Defining Rational Expressions
7.1b Multiplication and Division with Rational Expressions
7.2 Addition and Subtraction of Rational Expressions
7.3 Complex Fractions
7.4a Solving Equations: Ratios and Proportions
7.4b Solving Equations with Rational Expressions
7.5 Applications Involving Rational Expressions
7.6 Applications: Variation
Chapter 8: Systems of Linear Equations
8.1 Solving Systems of Linear Equations by Graphing
8.2 Solving Systems of Linear Equations by Substitution
8.3 Solving Systems of Linear Equations by Addition
8.4 Applications: Distance - Rate - Time, Number Problems, Amounts and Costs
8.5 Applications: Interest and Mixture
8.6 Solving Systems of Linear Equations with Three Variables
8.7 Matrices and Gaussian Elimination
8.8 Systems of Linear Inequalities
Chapter 9: Roots, Radicals, and Complex Numbers
9.1 Evaluating Radicals
9.2 Simplifying Radicals
9.3 Rational Exponents
9.4a Addition and Subtraction with Radicals
9.4b Multiplication with Radicals
9.4c Rationalizing Denominators
9.5 Equations with Radicals
9.6 Functions with Radicals
9.7 Complex Numbers
9.8 Multiplication and Division with Complex Numbers
Chapter 10: Quadratic Equations
10.1a Quadratic Equations: The Square Root Method
10.1b Quadratic Equations: Completing the Square
10.2 Quadratic Equations: The Quadratic Formula
10.3 Applications: Quadratic Equations
10.4 Equations in Quadratic Form
10.5 Graphing Parabolas
10.6a Solving Quadratic Inequalities
10.6b Solving Inequalities with Rational Expressions
Chapter 11: Exponential and Logarithmic Functions
11.1 Algebra of Functions
11.2 Composition of Functions and Inverse Functions
11.3 Exponential Functions
11.4 Logarithmic Functions
11.5 Properties of Logarithms
11.6 Common Logarithms and Natural Logarithms
11.7 Exponential and Logarithmic Equations
11.8 Applications: Exponential and Logarithmic Functions
Chapter 12: Conic Sections
12.1 Translations and Reflections
12.2 Parabolas as Conic Sections
12.3 The Distance Formula and Circles
12.4 Ellipses and Hyperbolas
12.5 Nonlinear Systems of Equations
Chapter 13: Sequences, Series and the Binomial Theorem
13.1 Sequences
13.2 Sigma Notation
13.3 Arithmetic Sequences
13.4 Geometric Sequences and Series
13.5 The Binomial Theorem
Appendix:
A.1a Decimals and Percents
A.1b More with Decimals
A.2 Synthetic Division
A.3 Using a Graphing Calculator to Solve Equations
A.4 Determinants
A.5 Determinants and Systems of Linear Equations: Cramer's Rule
A.6 Permutations
A.7 Combinations
A.8 Review: Solving Systems of Linear Equations - Two Variables