Functions Contents - A The set of real numbers
Rational numbers
Irrational numbers The real number line, and relations
Interval definition and notation
Distance and absolute value Properties of the real numbers
The rules for powers or exponents
Order of operations Absolute value equations  Absolute value inequalities
Solving linear inequalities with absolute value Algebraic expressions
Expanding algebraic expression by removing parentheses
The binomial expansion algorithm
Factoring and expanding algebraic expressions, rules for transforming algebraic expressions
Factoring polynomials Imaginary and Complex Numbers
Addition and subtraction of complex numbers
Multiplication and division of complex numbers Polar or trigonometric notation of complex numbers
Multiplication and division of complex numbers in the polar form
Exponentiation and root extraction of complex numbers in the polar form
Powers and roots of complex numbers, use of de Moivre’s formulas Euler’s formula, relationship between trigonometric functions and the complex exponential function Linear equation in one variable
Solving linear equations Solving inequalities
Properties of inequalities
Examples of solving single linear inequalities
Solving compound or double inequalities Equations with Rational Expressions
Solving rational equations
Rational equations - Linear equations Rational Inequalities
Method of solving rational inequalities
The graph of the translated equilateral or rectangular hyperbola Solving quadratic equations by factoring, Vieta's formula Quadratic function or the second-degree polynomial

Roots or zeros of the function, axis of symmetry and y-intercept Transformations of the quadratic function's expression Graphing a quadratic function
Transformations of the graph of the quadratic function Binomial equations  Quadratic inequalities Absolute value equations, quadratic equations and functions
Solving quadratic equations with absolute value
Graphing absolute value functions or equations examples Radical or irrational equations    