ACT MATH FORMULA REVIEW Roots, Powers and Exponents
0
A = 1
()
1
A = A
√ √ √ √ √ A A = A √ m
n
Linear Equations
y intercept is b (x=0)
(y=0) The slope is X intercept is
Quadratic Formula
m+n
√ √ Distance Time Formula
The line with a perpendicular slope has an
Distance Formula Midpoint Formula Speed (v) = v = opposite reciprocal of m:
Triangles
Prime numbers Can be divided only by 1 and themselves. First ten primes: 2,3,5,7,11,13,17,19,23,29 (O and 1 are not primes) Perfect squares
Commonly used on the ACT: 2
2
2
2
2
2
11 =121; 12 =144; 13 =169; 2
14 =196; 15 =225; 16 =256; 25 =625
Pythagorean Theory:
Irrational numbers
Cannot be written as a ratio of
3,
4,
5
two integers: Examples π, √2, √3, etc.
5,
12,
13
π*π= π (irrational); (irrational); √2* √2*√ √2=2 (rational!)
6,
8,
10
Imaginary Numbers
7,
24,
25
When squared, gives a negative re sult
8,
15,
17
2
√ √ √ ;
;
Isosceles triangle:
Equilateral triangle:
;
Mean: Average ǁ Median: Middle number Mode: Most f requent requent number
B Area of a trapezoid: Half-point line: (A+B)/2 * h
Weighted average: Add
the values for each occurrence; divide by total occurrences.
CIRCLE
a+b = y = ½x y = inscribed angle = ½x y = 90° ==> x = 180° = d
Area = Formula:
x2 + y2 = r 2
(x-a) 2 + (y-b) 2 = r 2 Midpoint = (a,b); radius = r Perimeter Perimeter =
CYLINDER: Area:
Sum of angles in a regular polygon with n sides: 180 180 n-2 n-2
TRIGONOMETRY: SOH-CAH-TOA
Cos ʘ = Tan ʘ = Sin ʘ =
2 πr h Volume: Cube: V = s3 Cone: V = 1/3 πr 3
Sec ʘ = Cot ʘ = Csc ʘ =
ACT MATH FORMULA REVIEW Roots, Powers and Exponents A =
0
___
1
___
A =
√ A A = m
___
Linear Equations
___ ___
___ ___
___
X intercept is
______ ______
has a slope of
D = ___ = ___ * ___
___
_ _____
The line with a perpendicular slope
Distance-Time Formula
___
y intercept is
The slope
Quadratic Formula
___
n
___
T=
Distance Formula
_______________ _____ __________
___________
Midpoint Formula
Prime numbers
______
Triangles
Definition: _________ Definition: __________________ ___________ __ First ten primes: ________ _______________ _______ Perfect squares
Commonly used on the ACT: 2
2
2
2
2
2
11 = ____ ____;; 12 = ____; 13 = ____; 2
14 = ___ ___;; 15 = ____; 16 = ____; 25 = ___ Irrational numbers
Pythagorean Pythagorean Theory:
Definition: __________ ___________________ ___________ __
Formula: ________ Formula: __________ __
Examples: __________ __________________ ___________ ___
Examples:
Imaginary Number,
3, ___ , ___
Definition: ________ Definition: _________________ ____________ ___
5, ___ , ___
___;; ___ ___;; ___ ___;; ___ ___
6, ___ , ___
Mean:
__________
7, ___ , ___
Median:
__________
8, ___ , ___
Mode:
__________
° Isosceles triangle
Equilateral triangle
Weighted average: __________ _____________ ___
CIRCLE: Area = _______ Perimeter = ______ Formula: ____ + ____ = __
CYLINDER : Area: ________ Volume: ________
Area of a trapezoid: ______________ __________ ____
TRIGONOMETRY:
Sin ʘ = ___ = ___ Sum of angles in a regular polygon polygo n with n sides: _____
Volume: Cube: V =
Cone: V =
°
Sec ʘ= ___ Cos ʘ= ___ Cot ʘ= ___ Csc ʘ= ___ Tan ʘ = ___ = ___
