Introduction To College Algebra –

mth219

(3 credits)

This course introduces algebraic concepts providing a solid foundation for college algebra. Topics range from properties of real numbers, the order of operations, and algebraic expressions to solving equations and inequalities. Additional topics include polynomials, factoring methods, rational and radical expressions as well as graphing and functions.
This undergraduate-level course is 5 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Advisor.

Mathematical Models, Equations, and Inequalities

  • Perform arithmetic operations on algebraic expressions.
  • Identify properties of real numbers.
  • Perform arithmetic operations on real numbers.
  • Evaluate numerical expressions using order of operations.
  • Solve linear equations.
  • Solve linear inequalities.
  • Solve a formula for a given variable.
  • Use mathematical models to solve application problems.
  • Solve compound inequalities.

  • Solve absolute value equations.

Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials

  • Graph linear equations in two variables.
  • Determine the slope of a linear equation.
  • Factor polynomials using the greatest common factor.
  • Factor polynomials by grouping.
  • Factor trinomials when the leading coefficient is one.
  • Perform arithmetic operations on polynomials.

Factoring Polynomials and Rational Expressions

  • Factor trinomials whose leading coefficient is not one.
  • Factor special case polynomials.
  • Use quadratic equations to solve application problems.
  • Simplify rational expressions.
  • Multiply rational expressions.
  • Divide rational expressions.

Rational Expressions, Rational Equations and Functions

  • Perform arithmetic operations on rational expressions.
  • Use rational equations to solve application problems.
  • Solve problems using variation.
  • Compute function values.
  • Determine the domain and range of a function.
  • Determine function values from a graph.
  • Perform mathematic operations on functions.
  • Perform mathematic operations on radical functions.
  • Evaluate piecewise functions.

Composite and Inverse Functions, Radical Expressions, and Radical Equations

  • Perform composition of functions.
  • Determine the inverse of a function.
  • Perform mathematical operations on expressions with rational exponents.
  • Perform mathematical operations on radical expressions.

  • Solve equations containing radicals.

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