Math Review (ACT)

A⁰

1

A¹

A

√a/b

√a/√b

√ab

√a√b

A^mAⁿ

A^m+n

(A^m)ⁿ

A^mn

A^-m

1/A^m

A^m/n

ⁿ√A^m

log_aa^x

x

log_a(xy)

log_ax + log_ay

log_a(x/y)

log_ax - log_ay

Quadratic Formula

-b ± √(b² - 4ac) / (2a)

Distance-Time Formula (D=)

D= t • v

For the slope formula, y-int=? x-int=?

y=b

x=mx+b

From y=mx+b what is the slope?

y₂ - y₁ / x₂ - x₁

Perpendicular Slope

-1/m

Distance Formula

√(x2 - x1)² + (y2 - y1)²

Midpoint Formula

(x1 + x2)/2, (y1 + y2)/2

12²

144

16²

256

11²

121

13²

169

14²

196

15²

225

25²

625

Area of triangle

1/2bh

Irrational Numbers

not written as ratio of 2 integers

Isosceles triangle angles

a, a, 2a

Area of Equilateral Triangle

(1/2S)²√3

i¹

i

i²

-1

i³

-i

i⁴

i

Pythagorean:

5, _, _

6,_, _

7,_, _

8, _, _

5, 12, 13

6, 8, 10

7, 24, 25

8, 15, 17

Weighted Average

add values for each occurrence divide by total occurrence

Area of Circle

πr²

Perimeter of Circle

2πr

Circle Formula

x² + y² = r²

Area of Trapezoid

(A + B)/2•h

Sum of angles in a regular polygon with n sides=

180(n - 2)

Volume of a Cube

V= s³

Volume of a Cone

V= 1/3πr²h

Volume of a Pyramid

V= 1/3lwh

Volume of a Sphere

V= 4/3πr³