Math 098 ~ Intermediate Algebra I  
 
 
 

Course Description
The first course in intermediate algebra. Topics include: logarithmic functions, integer and rational exponents, polynomials and operations with polynomials, factoring, solving quadratic equations, graphing quadratic and exponential functions, modeling with polynomial and exponential functions.

Pre-requisite
Math 097 with a grade of C or higher, or equivalent math placement score.

Mode of Delivery (Modes)
Lecture, DE, Block, Math Studio, hybrid.

Offered
Fall, Winter, Spring, Summer

Required for:
MATH 107, and Math 146


Course Content

Text: Elementary Intermediate Algebra: Functions and Authentic Applications, 2nd/E, Lehmann, Pearson Publishing

6. Systems Of Linear Equations And Systems Of Linear Inequalities
6.1 Using Graphs And Tables To Solve Systems
6.2 Using Substitution To Solve Systems
6.3 Using Elimination To Solve Systems
6.4 Using Systems To Model Data
6.5 Perimeter, Value, Interest, And Mixture Problems
6.6 Linear Inequalities In Two Variables; Systems Of Linear

7. Polynomial Functions And Properties Of Exponents
7.1 Adding And Subtracting Polynomial Expressions And Functions
7.2 Multiplying Polynomial Expressions And Functions
7.3 Powers Of Polynomials; Product Of Binomial Conjugates
7.4 Properties Of Exponents
7.5 Dividing Polynomials:  Long Division and Synthetic Division

8. Factoring Polynomials And Solving Polynomial Equations
8.1 Factoring Trinomials Of The Form x2 + bx + c and Differences of Two Squares
8.2 Factoring Out The GCF; Factoring By Grouping
8.3 Factoring Trinomials Of The Form ax2 + bx + c
8.4 Sums And Differences Of Cubes; A Factoring Strategy
8.5 Using Factoring To Solve Polynomial Equations
8.6 Using Factoring To Make Predictions With Quadratic Models

9. Quadratic Functions
9.1 Graphing Quadratic Functions In Vertex Form
9.2 Graphing Quadratic Functions In Standard Form
9.3 Simplifying Radical Expressions
9.4 Using The Square Root Property To Solve Quadratic Equations
9.5 Solving Quadratic Equations By Completing The Square
9.6 Using The Quadratic Formula To Solve Quadratic Equations
9.7 Solving Systems Of Linear Equations In Three Variables; Finding Quadratic Functions
9.8 Finding Quadratic Models
9.9 Modeling With Quadratic Functions

10. Exponential Functions
10.1 Integer Exponents
10.2 Rational Exponents
10.3 Graphing Exponential Functions
10.4 Finding Equations Of Exponential Functions
10.5 Using Exponential Functions To Model Data