﻿ Hawkes Learning | Products | Introductory & Intermediate Algebra # Introductory & Intermediate Algebra

by D. Franklin Wright

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.

Formats: Software, Textbook, eBook

Product ISBN
Software + eBook 978-1-941552-38-4
Software + eBook + Textbook 978-1-941552-39-1

## Table of Contents

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