27 terms

ACT MATH STUDY GUIDE

STUDY
PLAY
Degrees in triangle
180
Degrees in circle
360
Area of triangle
1/2x base x height
Area of circle
pi x radius to the second power
Circumference of circle
2 x pi x radius OR pi x diameter
Area of rectangle
Base x height
Area of parallelogram
Base x height
Area of square
side to the second power
Pythagorean Theorem
a to the second power plus b to the second equals c to the second power. (C=hypotenuse, only true for right triangles)
Slope-intercept form of a line:
y=mx + b
Point slope form of a line:
y - y1 = m (x - x1)
Slope formula [between 2 points (x1,y1) and x2, y2)]
y2 - y1/ x2-x1
Distance Formula [between 2 points (x1, y1) and (x2, y2)]
Square root (x2 - x1) to the second power + (y2 - y1) to the second power
Midpoint Formula [between 2 points (x1, y1) and (x2, y2)]
(x1 + x2/2, y1 + y2/2)
Equation of circle: Case 1: If center is (0,0):
x2 + y2 = r2
Equation of circle: Case 2: If center is (h,k):
(x-h)2 + (y-k)2 = r2
Logarithm Formula: log base x = y
b to the y power equals x
sin
opposite/hypotenuse
cos
adjacent/hypotenuse
tan
opposite/adjacent
Volume of a cylinder
pie x radius to the second power x height
Volume of box
V=length x width x height
Mean
Add all numbers, divide by number of numbers.
Median
The middle number from small to large, choose median.
FOIL
First, outside, inside, last (EX: (X-3)(X+2) = x2 + 2x -3x - 6)
Number of degrees in n-sided polygon
(n-2)(180)
Percent Formula
is/of = %/100
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