SAT Math Formulas

Midpoint Formula

Distance Formula

Triangle Area 1

½ x sin(A) x bc

Triangle Area 2

½ bh

Quadratic Formula

Pythagorean Theorem

a² + b² = c²

Hexagon Area

Discriminant

2 solutions: b² - 4ac > 0

1 double root: b² - 4ac = 0

0 real solutions: b² - 4ac < 0

Mean Rate

Change in percent / Change in time

Average Speed

Total distance / Total time

Work Rates

1 / Total Work = 1 / WorkRate1 + 1 / WorkRate2

Sum of Roots (quadratic)

-b/a

Product of Roots (quadratic)

c/a

Vertex (quadratic)

(h, k)

h = -b/2a

k = f(h)

Probability

P = Favorable# / Total#

Probability (a AND b)

P(a) x P(b)

Probability (a OR b)

P(a) + P(b)

Properties of Ax + By = C

Slope = -A/B

X-intercept = C/A

Y-intercept = C/B

Equilateral Triangle Area

Rhombus Area

Percent Change

((Original amt - New amt) / Original amt) x 100

Regular Polygon Area

A = ½ ap

a = apothem

p = perimeter

Complementary Angles

Two angles whose sum is 90 degrees

Supplementary Angles

Two angles whose sum is 180 degrees

Arc Length

Similar Triangles

Find ratio of areas, then square root to find ratio of sides

Sector Area