# Algebra

1. Multiplying or dividing both sides of an inequality by a negative number reverses the inequality. That is, if x > y and c < 0, then cx < cy.
2. Transitive Property: If x < y and y < z, then x < z.
3. Like Inequalities Can Be Added: If x < y and w < z, then x + w < y + z .
4. Rules for exponents:
Caution,

, if a > b, if b > a.
5. There are only two rules for roots that you need to know for the SAT:

For example, .

For example,.
Caution: .
6. Factoring formulas:
7. Adding, multiplying, and dividing fractions:

Example: .

Example: .

Example: .
8.
9. Quadratic Formula:  are the solutions of the equation ax2 + bx + c = 0.â€‹