• Expressions: just statements abc + c^3 + ab solve for a=2,b=-1,c-3
• Inverse operations: used to keep equations balanced x+3-3 = x || sqrtx^2 = x
• Equations: x-3 = 10 -> x-3+3 = 10+3 -> x+0 = 13 -> x = 13

Simplify or evaluate expressions

Balance or solve equations

• Equations with parentheses:

12 - (2x+5) = -2 + (x-3) // remember understood 1 here in front of parentheses
12 - 2x - 5 = -2 + x - 3
7 - 2x = -5 + x
12 - 2x = x
12 = 3x
x = 4

• Words to keep in mind:

(+) = sum, increases

(-) = difference

x = product

/ = quotient

Zero Product Property

If you have a product of factors = 0, the equation is true if either factor is 0.

4x(x^2 - 49) = 0

4x = 0 -> x = 0

(x^2 - 49) = 0
(x - 7)(x + 7) = 0
x = 7 || x = -7

therefore x = 0 || 7 || -7