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.
Nonlinear Functions, Sequences, and Series
- Use arithmetic and geometric sequences and series.
- Use composite functions.
- Use inverse functions.
- Use logarithmic functions.
- Perform operations on functions.
- Identify polynomial, rational, radical, and quadratic functions.
- Identify the domain and range of a function.
- Solve quadratic equations.
- Apply nonlinear equations to real-world problems.
- Simplify polynomials.
- Perform polynomial operations.
- Use polynomials in real-world applications.
- Use the distribution property with polynomials.
College Algebra Review
- Review all objectives from Weeks One through Eight.
- Simplify radical expressions.
- Solve problems involving radical expressions.
Factoring (Part 1)
- Factor polynomials using the Greatest Common Factor.
- Factor trinomial expressions of the form x2 + bx + c.
- Factor trinomial expressions of the form ax2 + bx + c.
Factoring (Part 2)
- Factor polynomial expressions using special products.
- Perform operations on rational expressions.
- Solve proportion and variation problems.
- Solve rational equations and formulas.
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