MATH 0099 Syllabus

Subject Code

MATH

Course Number

0099

Course Title

Intermediate Algebra

Prerequisites

MATH 0098 with a grade of C* or higher or placement by diagnostic testing

Corequisites

Terms Offered

Offered every semester

Credit Hours

(3-0-3)

Course Description

This course emphasizes intermediate algebra skills. Topics include factoring, inequalities, rational expressions and equations, linear graphs, slope and applications, systems of equations, radical expressions and equations, and quadratic equations.

Program Fee: $70

Course Outcomes

Factoring

  • Factor algebraic expressions completely.

Inequalities

  • Solve linear inequalities.
  • Solve application problems with linear inequalities.

Rational Expressions and Equations

  • Simplify rational expressions.
  • Multiply rational expressions.
  • Divide rational expressions.
  • Find least common multiples and denominators.
  • Add rational expressions.
  • Subtract rational expressions.
  • Solve rational equations.
  • Solve application problems using rational equations and proportions.
  • Simplify complex rational expressions.

Linear Graphs, Slope, and Applications

  • Find the slope-intercept equation.
  • Graph using the slope and the y-intercept.
  • Recognize parallel and perpendicular lines.
  • Graph inequalities in two variables.
  • Solve application problems involving direct and inverse variation.

Systems of Equations

  • Solve systems of equations in two variables using the graphing, substitution, and elimination methods.
  • Solve applications problems using systems of equations.
  • Solve applications problems involving motion using systems of equations.

Radical Expressions and Equations

  • Multiply and simplify radical expressions.
  • Simplify quotients involving radical expressions.
  • Add and Subtract radical expressions.
  • Solve radical equations.
  • Solve applications with right triangles.
  • Simplify expressions involving higher roots, and rational numbers as exponents.

Quadratic Equations

  • Solve quadratic equations using the principle of zero products.
  • Solve quadratic equations using the principle of square roots.
  • Solve quadratic equations by completing the square3.
  • Solve quadratic equations using the quadratic formula.
  • Solve application problems using quadratic equations.
  • Graph quadratic equations.
  • Evaluate and graph functions.
  • Determine whether a graph is that of a function.
  • Solve applied problems involving functions and their graphs.