Acknowledgements
To All
Pedagogical Decisions
Entering WeBWorK Answers
I Linear Equations and Lines
1 Variables, Expressions, and Equations
1.1 Variables and Evaluating Expressions
1.2 Combining Like Terms
1.3 Comparison Symbols and Notation for Intervals
1.4 Equations and Inequalities as True/False Statements
1.5 Solving One-Step Equations
1.6 Solving One-Step Inequalities
1.7 Algebraic Properties and Simplifying Expressions
1.8 Modeling with Equations and Inequalities
1.9 Variables, Expressions, and Equations Chapter Review
2 Linear Equations and Inequalities
2.1 Solving Multistep Linear Equations
2.2 Solving Multistep Linear Inequalities
2.3 Linear Equations and Inequalities with Fractions
2.4 Special Solution Sets
2.5 Isolating a Linear Variable
2.6 Linear Equations and Inequalities Chapter Review
3 Graphing Lines
3.1 Cartesian Coordinates
3.2 Graphing Equations
3.3 Exploring Two-Variable Data and Rate of Change
3.4 Slope
3.5 Slope-Intercept Form
3.6 Point-Slope Form
3.7 Standard Form
3.8 Horizontal, Vertical, Parallel, and Perpendicular Lines
3.9 Summary of Graphing Lines
3.10 Graphing Lines Chapter Review
4 Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Substitution
4.3 Elimination
4.4 Systems of Linear Equations Chapter Review
II Preparation for STEM
5 Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Introduction to Exponent Rules
5.3 Dividing by a Monomial
5.4 Multiplying Polynomials
5.5 Special Cases of Multiplying Polynomials
5.6 More Exponent Rules
5.7 Exponents and Polynomials Chapter Review
6 Radical Expressions and Equations
6.1 Square and nth Root Properties
6.2 Rationalizing the Denominator
6.3 Radical Expressions and Rational Exponents
6.4 Solving Radical Equations
6.5 Radical Expressions and Equations Chapter Review
7 Solving Quadratic Equations
7.1 Solving Quadratic Equations by Using a Square Root
7.2 The Quadratic Formula
7.3 Complex Solutions to Quadratic Equations
7.4 Solving Equations in General
7.5 Solving Quadratic Equations Chapter Review
8 Quantities in the Physical World
8.1 Scientific Notation
8.2 Unit Conversion
8.3 Geometry Formulas
8.4 Geometry Applications
8.5 Quantities in the Physical World Chapter Review
9 Topics in Graphing
9.1 Review of Graphing
9.2 Key Features of Quadratic Graphs
9.3 Graphing Quadratic Expressions
9.4 Graphically Solving Equations and Inequalities
9.5 Topics in Graphing Chapter Review
III Preparation for College Algebra
10 Factoring
10.1 Factoring Out the Common Factor
10.2 Factoring by Grouping
10.3 Factoring Trinomials with Leading Coefficient One
10.4 Factoring Trinomials with a Nontrivial Leading Coefficient
10.5 Factoring Special Polynomials
10.6 Factoring Strategies
10.7 Solving Quadratic Equations by Factoring
10.8 Factoring Chapter Review
11 Functions
11.1 Function Basics
11.2 Domain and Range
11.3 Using Technology to Explore Functions
11.4 Simplifying Expressions with Function Notation
11.5 Technical Definition of a Function
11.6 Functions Chapter Review
12 Rational Functions and Equations
12.1 Introduction to Rational Functions
12.2 Multiplication and Division of Rational Expressions
12.3 Addition and Subtraction of Rational Expressions
12.4 Complex Fractions
12.5 Solving Rational Equations
12.6 Rational Functions and Equations Chapter Review
13 Graphs and Equations
13.1 Overview of Graphing
13.2 Quadratic Graphs and Vertex Form
13.3 Completing the Square
13.4 Absolute Value Equations
13.5 Solving Mixed Equations
13.6 Compound Inequalities
13.7 Solving Inequalities Graphically
13.8 Graphs and Equations Chapter Review
A Basic Math Review
A.1 Arithmetic with Negative Numbers
A.2 Fractions and Fraction Arithmetic
A.3 Absolute Value and Square Root
A.4 Percentages
A.5 Order of Operations
A.6 Set Notation and Types of Numbers
B Unit Conversions
Index