Algebra

Sum of Roots

-b/a

Product of Roots

c/a

Same Slope, but different y-int

no solution

Same Slope and y-int

infinitely many solutions

Different Slope and Any or Same y-int.

one solution

b² - 4ac > 0

two real solutions

b² - 4ac < 0

no real solutions

b² - 4ac = 0

one real solution

Vertex Formula

x = -b/2a; finds x coordinate of vertex

Variable for Intial Amount in Quadratic

c

Minimum; Parabola Opens Up

a > 0

Maximum; Parabola Opens Down

a < 0

# times as many x as y

x = #y

#/# times as many x as y

x = #/#y

# more than x is y

y = x + #

# less than x is y

y = x - #

Symbol for “is”

=

Symbol for “What”

any quantity (1, 5, 323, 27, x, y, m, q, etc.)

meaning of “of”

multiplied by

meaning of percent

divided by 100

# more x than y

x = y + #

# less x than y

x = y - #