Description

Topics include: solving quadratic, absolute value, rational, radical, exponential and logarithmic equations; graphing shifted quadratic functions; simplifying radical expressions, solving systems of linear inequalities; evaluating logarithms; finding the vertex of a quadratic function.

Grading Basis

Graded

### Course Learning Outcomes

### Core Topics

- Review: Exponent properties through negative exponents
- Review solving equations: linear, quadratic by factoring, systems of linear equations.
- Functions: Evaluate, identify domain and range for functions given as equations and graphs.
- Perform arithmetic operations on functions.
- Graph systems of linear inequalities
- Set up and Solve variation word problems including direct, indirect, and joint variation.
- Intersection, Unions and compound inequalities.
- Absolute value equations and inequalities.
- Solve quadratic equations by factoring, quadratic formula, and square root property.
- Multiply and divide radical expressions.
- Solve radical equations.
- Use complex numbers in arithmetic combinations and as solutions to quadratic equations.
- Complete the square to write quadratic function in vertex form.
- Graph shifted quadratic functions.
- Find inverse functions.
- Composite functions.
- Solve exponential and logarithmic equations.
- Graph exponential and logarithmic functions.
- Solving exponential and logarithmic applications.
- Optional: Use logarithm properties to manipulate expressions.
- Optional: Solve quadratic-like equations using substitution.
- Optional: Solve linear programming applications.
- Optional: Graphing shifted absolute value functions.
- Optional: Modeling with linear, quadratic, exponential and logarithmic functions.
- Optional: rational exponents