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Formulas for ACT Test
Formulas commonly used in the ACT
35
Mathematics
11th Grade
02/13/2013
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Cards

Term
Volume of a cone
 Definition

∏r²h

3
Term
Percent of Change
 Definition
Part/Whole × 100
Term
Complementary Angles
 Definition
Angle 1 + Angle 2 = 90°
Term
Distance Between Two Points
 Definition
√(x2-x1)2 + (y2 - y1)2
Term
Combinations
 Definition

n!

(n-r)! r!
Term
Midpoint Formula
 Definition
(x1 + x2/2 , y1 + y2/2)
Term
Point-Slope Form of a Line
 Definition
y-y1 = m(x-x1)
Term
Area of a Rectangle
 Definition

base × height

 

or

 

length × width
Term
Distance
 Definition
d = rt
Term
Pythagorean Theorem
 Definition
a2 + b2 = c2
Term
Circumference of a Circle
 Definition
2∏r
Term
Compound Interest
 Definition
A(t) = P(1 + r/n)nt
Term
Permutations
 Definition

n!

(n-r)!
Term
Volume of a Rectangle
 Definition
l x w x h
Term
i²
 Definition
-1
Term
Slope Formula
 Definition
m = y2 - y1/x2 - x1
Term
General Formula for a Circle
 Definition
(x-h)2 + (y-k)2 = r2
Term
Quadratic Formula
 Definition
x = -b ± √b2 - 4ac
Term
Surface Area of a Box
 Definition
2lw = 2hl = 2hw
Term
Area of a Trapezoid
 Definition
1/2 (b1 + b2)h
Term
Area of a Square
 Definition
s2
Term
Volume of a Cube
 Definition
s3
Term
Vertex of a Parabola
 Definition
(-b/2a, y)
Term
Simple Interest Formula
 Definition
Prt
Term
Cos A
 Definition

adj

hypot
Term
Supplementary Angles
 Definition
Angle 1 + Angle 2 = 180°
Term
Tan A
 Definition

opp

hypot
Term
Area of a Triangle
 Definition
1/2bh
Term
Volume of a Sphere
 Definition
4/3 ∏r2
Term
Area of a Circle
 Definition
∏r2
Term
Area of a Parallelogram
 Definition
base × height
Term
Sin A
 Definition

opp

adj
Term
i4
 Definition
1
Term
Volume of a Cylinder
 Definition
∏r2h
Term
Rewrite Bx = y in logarithmic Form
 Definition
LogB y = x
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