Algebra Review – Exam Concepts
The concepts in the following algebra review may be included on your college placement test.
The problems are ordered from introductory to advanced.
Click on the links below for illustrations and explanations of the concepts.
Introductory Algebra Review Topics
Algebraic Terms
Algebraic Distribution
Balancing Equations
Double Sided Equations
Inverse Operations
PEMDAS – Order of Operations
Grouping Like Terms
Setting Up Equations
College-Level Algebra Topics
Absolute Value Expressions
Monomials
Binomials
Exponent Laws
Inequalities
Number Lines
Square Roots
Other Radicals
Rational Numbers
Irrational Numbers
Simplifying Expressions
Systems of Equations
Elimination Method
Substitution Method
Scientific Notation
College-Level Algebra – Polynomials
Using the FOIL Method for Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
College-Level Algebra – Factoring
Finding the Greatest Common Factor
Factoring – Working with Variables
Factoring – Working with Numbers
Factoring Expressions
Factoring Quadratics
Factoring Perfect Cubes
Factoring Perfect Squares
College-Level Algebra – Quadratics
What are the Quadratic Forms?
What is the Quadratic Equation?
Working with Quadratic Expressions
How to Use the Quadratic Formula
Solving Quadratic Equations
Advanced Topics
Completing the Square
Function Notation
Inverse Functions
Interval Notation
Remainder Theorem
Synthetic Division
If you have had difficulty with any of the concepts on this page, you might want to look at our Pre-Algebra section.