Algebra
Simplifying Expressions
Multiplying monomials:
Multiplying polynomials using FOIL (First, Outer, Inner, Last)
Factoring
Factoring using Greatest Common Factors:
Factoring using difference of squares:
Factoring using quadratic polynomials:
Combining methods:
Factoring rational expressions (as long as x is not equal to 4):
Solving Equations
The golden rule of solving equations is, “What you do to one side of an equation, you must also do to the other”.
Eliminating fractions:
Multiply by the LCD:
Cross-multiplication:
Quadratic equations:
Two variables/systems of equations
Method 1: Substitution
Method 2: Elimination
A system of two equations with two unknowns can have 0, 1, or infinitely many solutions.
To solve a system of three equations with three variables, use substitution to reduce the problem to two equations with two variables, and solve from there.
