# MATH 098 Essentials of Intermediate Algebra • 5 Cr.

## Department

## Division

## Description:

Reviews and expands MATH 097 topics for students with some algebra background. Topics include equations of lines, quadratic equations and parabolas, rational exponents, elementary exponential equations, and elementary rational expressions and equations. Students practice model building and analysis of graphical and numerical data. Prerequisite: Placement by assessment, or MATH 085 or MATH 097 with a C- or better.

## Outcomes:

After completing this class, students should be able to:

- Simply algebraic expressions
- Write the equation of a line from data
- Calculate the length and midpoint of a line segment
- Solve linear systems in two variables using graphing and algebraic methods
- Set up and solve application problems using linear systems
- Interpret and solve linear inequalities
- Add, subtract, multiply and divide polynomials
- Factor trinomials including expressions with more than one factoring step
- Solve quadratic equations by factoring and by the quadratic formula
- Graph quadratic equations
- Extract information from quadratic models
- Add, subtract, multiply and divide basic rational expressions (algebraic fractions)
- Solve basic rational equations
- Set up and solve application problems using inverse variation, direct variation and proportions
- Simplify exponent expressions using the laws of exponents
- Convert from radical notation to rational exponent notation and from exponent notation to radical notation
- Solve basic exponential equations
- Simplify square root expressions
- Add, subtract and multiply radical expressions
- Solve basic radical equations
- Identify independent and dependent variables
- Identify domains of linear and quadratic functions
- Analyze geometric relationships and solve geometric application problems