Topics in the Textbook
Math 99 – Intermediate Algebra with Geometry


Blue: Covered in Math 98 (Beginning Algebra)
Red: Covered in Math 99 (Intermediate Algebra)
Black: will not be covered


Chapter R - Reference
R.1 Study Tips
R.2 Fractions
R.3 Introduction to Geometry

Chapter 1 – The Set of Real Numbers
1.1 Sets of Numbers and the Real Number Line
1.2 Order of Operations
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication and Division of Real Numbers
1.6 Properties of Real Numbers and Simplifying Expressions

Chapter 2 – Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Linear Inequalities

Chapter 3 – Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line
3.4 Slope-Intercept Form of a Line
3.5 Point-Slope Formula
3.6 Applications of Linear Equations

Chapter 4 – Systems of Linear Equations in Two Variables
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
4.4 Applications of Linear Equations in Two Variables

Chapter 5 – Polynomials and Properties of Exponents
5.1 Exponents: Multiplying and Dividing Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b0 and b-n
5.4 Scientific Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials

Chapter 6 – Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x2 + bx + c - (Optional)
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Factoring Binomials
6.6 General Factoring Summary
6.7 Solving Equations Using the Zero Product Rule

Chapter 7 – Rational Expressions
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
7.7 Applications of Rational Equations and Proportions

Chapter 8 – Introduction to Relations and Functions
8.1 Introduction to Relations
8.2 Introduction to Functions
8.3 Graphs of Functions
8.4 Variation

Chapter 9 – Linear Systems of Linear Equations in Three Variables
9.1 Systems of Linear Equations in Three Variables
9.2 Applications of Systems of Linear Equations in Three Variables
9.3 Solving Systems of Linear Equations by Using Matrices
9.4 Determinants and Cramer’s Rule

Chapter 10 – More Equations and Inequalities
10.1 Compound Inequalities
10.2 Polynomial and Rational Inequalities
10.3 Absolute Value Equations
10.4 Absolute Value Inequalities
10.5 Linear Inequalities in Two Variables

Chapter 11 – Radicals and Complex Numbers
11.1 Definition of an nth Root
11.2 Rational Exponents
11.3 Simplifying Radical Expressions
11.4 Addition and Subtraction of Radicals
11.5 Multiplication of Radicals
11.6 Rationalization
11.7 Radical Equations
11.8 Complex Numbers

Chapter 12 – Quadratic Equations and Functions
12.1 Square Root Property and Completing the Square
12.2 Quadratic Formula
12.3 Equations in Quadratic Form
12.4 Graphs of Quadratic Functions
12.5 Vertex of a Parabola and Applications

Chapter 13 – Exponential and Logarithmic Functions
13.1 Algebra and Composition of Functions
13.2 Inverse Functions
13.3 Exponential Functions
13.4 Logarithmic Functions
13.5 Properties of Logarithms
13.6 The Irrational Number e
13.7 Logarithmic and Exponential Equations

Chapter 14 – Conic Sections and Nonlinear Systems
14.1 Distance Formula and Circles
14.2 More on the Parabola
14.3 The Ellipse and Hyperbola
14.4 Nonlinear Systems of Equations in Two Variables
14.5 Nonlinear Inequalities and Systems of Inequalities