Contents
- Algebra – Exponents and Simplifying
- Order of operations
- The 5 main properties of exponents
- Negative exponents and an exponent of zero
- Rational exponents
- How to simplify expressions involving square roots
- How to simplify expressions with exponents
- Simplifying rational expressions
- Adding and subtracting rational expressions
- Multiply by conjugate
- Common mistakes
- Algebra – Binomials and Factoring
- The basics
- How to add, subtract, and multiply polynomials
- Multiplying binomials and the FOIL method
- Binomials raised to the third power
- How to factor quadratic expressions
- How to factor cubic or "like-quadratic" expressions
- How to complete the square
- Algebra – Solving Equations and Inequalities
- Solving quadratic equations through factoring
- Solving quadratic equations using the quadratic formula
- Solving equations involving square roots
- Solving equations involving absolute values
- Inequalities
- Solving inequalities and interval (or set) notation
- Solving inequalities
- Solving inequalities involving absolute values
- Analytic Geometry
- Linear equations
- Graphing linear equations: intercepts, slope, and y=mx+b form.
- Graphing a line using point/slope form
- Vertical and horizontal lines
- Equation of a circle
- How to complete the square
- Midpoint formula
- Finding the distance between two points
- Perpendicular bisector
- How to graph inequalities
- Graphing inequalities involving the absolute value
- Sketching nonlinear inequalities
- Functions
- Basics of functions
- Domain and range of a function
- Difference quotient
- Transformations of functions
- Basic functions:
- Piecewise-defined functions
- Function composition
