Pre-calculus 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
Order of operations Absolute value equations  Absolute value inequalities Algebraic expressions
Expanding algebraic expression by removing parentheses
The binomial expansion algorithm
Factoring and expanding algebraic expressions, rules for transforming algebraic expressions
Factoring polynomials Rational expressions 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 Solving linear equations Solving inequalities
Properties of inequalities
Examples of solving single linear inequalities
Solving compound (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    