Description

Topics include solving linear, quadratic (by factoring) and rational equations; solving a linear system of equations; manipulating polynomials (adding, subtracting, multiplying and dividing); and using exponent properties to simplify expressions. Students will also graph linear equations in two variables, calculate slopes, and find linear functions.

Grading Basis

Graded

### Course Learning Outcomes

### Core Topics

- Review: Unit Analysis
- Review: Solve single variable linear equations & inequalities, use interval and set-builder notation for solutions to inequalities
- Review: Determine equations of lines.
- Review: Exponent properties, Add/Subtract polynomials, scientific notation
- Multiply polynomials.
- Divide polynomials by monomials & binomials of form (x – a).
- Factor polynomials: GCF, factor by grouping, trinomials, difference of squares, sum & difference of cubes.
- Solve quadratic equations by factoring.
- Add, Subtract, Multiply, Divide, Reduce rational expressions.
- Solve rational equations.
- Solve a 2 X 2 system of linear equations,
- Review graphically
- Algebraically

- Set up and solve system of linear equation applications.
- Set up and solve linear, quadratic and rational applications.
- Introduce function notation and vocabulary: f(x), domain, range, independent and dependent variables.
- Identify domain and range from graph and equation.
- Optional: Solve systems of linear inequalities.
- Optional: Matrices
- Optional: Systems of 3X3 linear equations