Chapter 1 The Language and Tools of Algebra
- 1-1 Variables and Expressions
- 1-2 Exponents and Order of Operations
- 1-3 Simplifying Algebraic Expressions
- 1-4 Rational, Irrational, and Decimal
Chapter 2 Solving Linear Equations
- 2-1 Writing Equations
- 2-2 Solving Equations
- 2-3 Solving Equations with Variables on Both Sides
- 2-4 Equation with No Solution and Identity
- 2-5 Solving for a Specific Variable
Chapter 3 Functions and Linear Equations
- 3-1 Relations and Functions
- 3-2 Rate of Change and Slope
- 3-3 Slope-Intercept Form and Point-Slope Form
- 3-4 Parallel and Perpendicular Lines
- 3-5 Solving Systems of Linear Equations
- 3-6 Absolute Value Equations
Chapter 4 Linear Inequalities and Graphs
- 4-1 Solving Inequalities
- 4-2 Compound and Absolute Value Inequalities
- 4-3 Graphing Inequalities in Two Variables
- 4-4 Graphing Systems of Inequalities
Chapter 10 — Law of Exponents and Polynomials
- 10-1 Laws of Exponents and Scientific Notation
- 10-2 Adding, Subtracting, Multiplying, and Dividing Polynomials
- 10-3 FOIL Method and Special Products
- 10-4 Prime Factorization, GCF, and LCM
- 10-5 Factoring Using the Distributive Property
Chapter 11 — Quadratic Functions
- 11-1 Graphs of Quadratic Equations
- 11-2 Factoring Trinomials
- 11-3 Factoring Differences of Squares and Perfect Square Trinomials
- 11-4 Solving Quadratic Equations by Completing the Square
- 11-5 Quadratic Formula and the Discriminant
- 11-6 Solving Systems Consisting Linear and Quadratic Equations
Chapter 12 — Composition, Recursion, and Exponential Functions
- 12-1 Composition of Functions
- 12-2 Recursive Formula
- 12-3 Exponential Functions and Graphs
- 12-4 Exponential Growth and Decay
Chapter 13 — Polynomial and Radical Functions
- 13-1 Polynomial Functions and Their Graphs
- 13-2 Remainder Theorem and Factor Theorem
- 13-3 Radical Expressions
- 13-4 Solving Radical Equations
- 13-5 Complex Numbers
Chapter 14 — Rational Expressions
- 14-1 Rational Expressions
- 14-2 Solving Rational Equations
- 14-3 Direct, Inverse, and Joint Variation
- 14-4 Solving Word Problems Using Rational Equations
Chapter 15 — Trigonometric Functions
- 15-1 Trigonometric Ratios of Acute Angles
- 15-2 The Radian Measure of an Angle
- 15-3 Trigonometric Functions of General Angles and the Unit Circle
Chapter 5 — Word Problems in Real-Life Situation
- 5-1 Solving Word Problems Using Linear Models
- 5-2 Solving Word Problems with Equations
- 5-3 Solving Word Problems Using Systems of Equations
- 5-4 Solving Word Problems Using Inequalities
Chapter 6 — Ratios, Rates, and Proportions
- 6-1 Ratios and Rates
- 6-2 Proportions
- 6-3 Ratios, Rates, and Proportions Word Problems
Chapter 7 — Percents
- 7-1 Percent of Change
- 7-2 Percents and Equations
- 7-3 Percent Word Problems
Chapter 8 — Statistics
- 8-1 Mean, Median, Mode, and Range
- 8-2 Standard Deviation
- 8-3 Graphical Displays
- 8-4 Scatter Plots
- 8-5 Populations, Samples, and Random Selection
Chapter 9 — Categorical Data and Probability
- 9-1 Permutations and Combinations
- 9-2 Rules of Probability
- 9-3 Categorical Data and Conditional Probabilities
Chapter 16 — Lines and Angles
- 16-1 Lines, Segments, and Rays
- 16-2 Angles
- 16-3 Parallel and Perpendicular Lines
Chapter 17 — Triangles
- 17-1 Angles of a Triangles
- 17-2 Pythagorean Theorem and Special Right Triangles
- 17-3 Similar Triangles and Proportional Parts
- 17-4 Area of a Triangle
Chapter 18 — Polygons and Quadrilaterals
- 18-1 Parallelograms
- 18-2 Rectangles, Squares, and Trapezoids
- 18-3 Regular Polygons
Chapter 19 — Circles
- 19-1 Arcs, Angles, and Tangents
- 19-2 Arc Lengths and Areas of Sectors
- 19-3 Inscribed Angles
- 19-4 Arcs and Chords
- 19-5 Equations of Circles
Chapter 20 — Surface Areas and Volumes
- 20-1 Prisms
- 20-2 Cylinders and Spheres
- 20-3 Pyramids and Cones
