MATH 090 - Intermediate Algebra

5.0 Credits
Covers some topics of MATH 080 in greater depth. Additional topics include rational exponents, complex numbers, and an introduction to functions with an emphasis on linear functions. Intended to prepare students for college level mathematics courses. Prerequisite: MATH 080 or equivalent with a grade of 2.0 or higher, or appropriate score on the math placement test.

Course Objectives
Upon successful completion of this course, students will be able to:

Solve linear equations and inequalities in one variable. [REASON]
Use linear equations and inequalities to model and solve an application problem. [REASON]
Solve systems of two linear equations in two variables using algebraic methods. [REASON]
Use a system of two linear equations in two variables to model and solve an application problem. [REASON]
Understand the concept of a function and the related concepts of domain, range, function notation; and demonstrate understanding of these concepts using functions given in graphical, symbolic or numerical form. [REASON]
Determine the slope of a line and write an equation of a line. [REASON]
Construct equations of a linear function which model situations described in words. [REASON]
Factor general polynomials using the greatest common factor or by grouping; factor trinomials; factor the difference of squares; factor the difference and sum of cubes. [REASON]
Solve a polynomial equation by factoring. [REASON]
Reduce, add, subtract, multiply, and divide rational expressions. [REASON]
Simplify complex fractions. [REASON]
Solve rational equations. [REASON]
Apply the definition of the principal root to evaluate a radical. [REASON]
Apply correctly the rules of exponents to simplify exponential expressions involving integer and rational exponents. [REASON]
Simplify radical expressions using the properties of radicals and solve radical equations. [REASON]
Solve quadratic equations using the square root method, completing the square method, and the quadratic formula. [REASON]
Use correct mathematical notation and language related to the above concepts. [COMMUNICATE]