Classify a real number as a natural, whole, integer, rational, or irrational number.
Perform calculations using order of operations.
Use the following properties of real numbers: commutative, associative, distributive, inverse, and identity.
Evaluate algebraic expressions.
Simplify algebraic expressions.
Use the product rule of exponents.
Use the quotient rule of exponents.
Use the power rule of exponents.
Use the zero exponent rule of exponents.
Use the negative rule of exponents.
Find the power of a product and a quotient.
Simplify exponential expressions.
Use scientific notation.
Evaluate square roots.
Use the product rule to simplify square roots.
Use the quotient rule to simplify square roots.
Add and subtract square roots.
Use rational roots.
Identify the degree and leading coefficient of polynomials.
Add and subtract polynomials.
Use FOIL to multiply polynomials.
Perfect square trinomials.
Difference of squares.
Perform operations with polynomials of several variables.
Factor the greatest common factor of a polynomial.
Factor a trinomial.
Factor by grouping.
Factor a perfect square trinomial.
Factor a difference of squares.
Factor the sum and difference of cubes.
Factor expressions using fractional or negative exponents.
Simplify rational expressions.
Multiply rational expressions.
Divide rational expressions.
Add and subtract rational expressions.
Simplify complex rational expressions.