Review Materials for Math 0027 - Fall 2025

Real Numbers and Variables

Integers (key)
Rationals/Fractions (key)
Exponents, Square Roots, and Percents (key)
Order of Operations (key)
Variables (key)

Equations

Intro. to Linear Equations (key)
General Linear Equations (key)
Translating Sentences into Equations (key)
Aplications of Linear Equations (key)
Linear Inequalities (key)
Absolute Value Inequalities (key)

Geometry

Geometry (key)
Plane Figures (key)
Solids (key)

Lines

Cartesian Plane (key)
Functions (key)
Linear Functions (key)
Slope (key)
Equations of a Line (key)
Linear Inequalities (key)

Systems of Equations

Solving 2x2 linear systems: Substitution (key)
Solving 2x2 linear systems: Elimination (key)
Solving 2x2 linear systems: Cramer's Rule (key)
Applications using Linear Equations (key)
Systsems of Linear inequalities (key)

Polynomials

Polynomials, Exponents, Scientific Notation (key)
Polynomial Evaluation (key)
Polynomial Multiplication (key)
Polynomial Division (key)

Factoring

Greatest Common Factor (key)
Factoring (key)
General Factoring (key)
Special Factoring (key)
Zero Product Rule (key)

Factoring Rationals (fractions of polynomials)

Multiplying and Dividing Rationals (key)
Adding and Subtracting Rationals (key)
Complex Rationals (key)
Equations of Rationals (key)
Applications: Variation (key)

Radicals

Radicals and Fractional Exponents (key)
Radical Operations (key)
Radical Equations (key)
Complex Numbers (key)

Quadratic Equations

Quadratic Equations: Solve by Factoring (key)
Quadratic Equations: Solve by Completing the Square (key)
Quadratic Formula (key)
Equations Quadratic in Form (key)
Quadratic Inequalities (key)
Quadratic Applications (key)

Functions

Quadratic Functions (key)
Graphs of Functions (key)
Algebra of Functions (key)
1-1 Functions and Inverses (key)

Exponential and Log Functions

Exponential Functions (key)
Logarithms (Log) (key)
Rules of Logarithms (Log rules) (key)
Exponential and Log Equations (key)
Applications with Exponential and Log Equations (key)