Algebra 1b – mat117 (3 credits)

This course explores advanced algebra concepts and assists in building the algebraic and problem solving skills developed in Algebra 1A. Students will solve polynomials, quadratic equations, rational equations, and radical equations. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is the second half of the college algebra sequence, which began with MAT 116, Algebra 1A.

This undergraduate-level course is 9 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

Factoring (Part 1)

  • Factor trinomial expressions of the form x2 + bx + c.
  • Factor trinomial expressions of the form ax2 + bx + c.
  • Factor polynomials using the Greatest Common Factor.

Factoring (Part 2)

  • Factor polynomial expressions using special products.

Rational Expressions

  • Perform operations on rational expressions.
  • Solve proportion and variation problems.
  • Solve rational equations and formulas.

Radical Expressions

  • Solve problems involving radical expressions.
  • Simplify radical expressions.

Nonlinear Functions, Sequences, and Series

  • Use composite functions.
  • Use inverse functions.
  • Use logarithmic functions.
  • Use arithmetic and geometric sequences and series.


  • Use the distribution property with polynomials.
  • Simplify polynomials.
  • Perform polynomial operations.
  • Use polynomials in real-world applications.


  • Identify polynomial, rational, radical, and quadratic functions.
  • Identify the domain and range of a function.
  • Perform operations on functions.

Quadratic Equations

  • Solve quadratic equations.
  • Apply nonlinear equations to real-world problems.

College Algebra Review

  • Review all objectives from Weeks One through Eight.

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