·   Operations with Polynomials
·   Factoring

·   Reducing rational expressions
·   Multiplying rational expressions
·   Dividing rational expressions
·   Adding or subtracting rational expressions that have the same denominator
·   Adding or subtracting rational expressions that have different denominators
·   Simplifying complex fractions
·   Simplifying complex rational expressions
·   Solving fractional equations

·   Completing the real-number line
·   Graphing solution sets involving one variable on a number line
·   Absolute-value equations
·   Absolute-value inequalities
·   Roots and radicals
·   Simplifying a radical
·   Adding and subtracting radicals
·   Multiplying radicals with the same index
·   Dividing radicals with the same index
·   Rationalizing a denominator containing a radical
·   The quadratic formula and quadratic equations with real roots
·   Solving radical equations

·   Imaginary numbers
·   Complex numbers
·   Addition and subtraction of complex
·   Multiplication of complex numbers
·   Multiplicative inverses and division of complex numbers
·   Solving quadratic equations with imaginary roots
·   The nature of the roots of any quadratic equation
·   Using given conditions to write a quadratic equation
·   Solution of systems of equations
·   Quadratic inequalities

·   Relations
·   Functions
·   Function notation
·   Types of functions
·   Special relations and functions
·   Composition of functions
·   Inverse functions under composition

·   Laws of exponents
·   Exponents that are not positive
·   Scientific notation on the calculator
·   Fractional exponents
·   Exponential functions
·   Equations with fractional or negative exponents
·   Exponential equations

·   Exponential functions and their inverses
·   Logarithmic form of an equation
·   Common logarithms on the calculator
·   Antilogarithms on the calculator
·   Applying the product rule
·   Applying the quotient rule
·   Applying the power rule
·   Exponential equations

·   Arcs and angles
·   Arcs and chords
·   Inscribed angles and their measures
·   Tangents and secants
·   Angles formed by tangents, chords, and secants
·   Measures of chords, tangent segments, secant segments