MAT125 (MAT125)

Compound and non-linear inequalities. Absolute value when dealing with inequalities. With examples.

Gives examples of composite functions and the algebra of functions. How to combine functions using addition, subtraction, multiplication, and division.

The definition of an inverse functions. Explains the horizontal line test which determines if a function is one to one or not. It also has example problems and the properties of inverse functions.

Describing real numbers, including rational, irrational, integers, whole numbers, and natural numbers. Describing commutative, associative, and distributive properties. Distance, absolute value, sets, and interval notation.

Simplifying exponents, and fractions with exponents. Rational exponents and radicals. Rationalizing denominators.

Factoring algebraic expressions completely, examples. Getting a special product from a cubed equation.

Simplifying rational expressions, compound rational expressions, and rationalizing the numerator of a fraction.

Joint, direct, and inverse variations, equations for all. Examples for all the variations.

Equations for slope, horizontal lines, and vertical lines. Slope-intercept, point-slope, and linear forms. Connections between parallel and perpendicular lines on a graph.

Solving quadratic equations using completing the square method and quadratic formula. Describes the discriminant and quadratic type formulas.