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Outlier's Advantage: 2019 ACT Math Formulas Level 1-2
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Gravity
Key Concepts:
Terms in this set (31)
Area of a circle
πr²
Circumference of a circle
2πr
Missing number in average formula
missing number = A*(#of terms)-(sum of other terms)
ex. 2013a:11
Area of a square
A=s² (s = side)
Area of a trapazoid
1/2h(b1+b2)
Diagonal of a square formula
s√2 (s = side)
Ex. 2006D:24
Diagonal of a cube formula
s√3 (s = side)
Sum of the angles of a polygon formula
(n-2)180 (n = number of sides)
Ex: 2003D:15
The measure of one interior angle of a polygon formula
((n-2)180) / n (n = number of sides)
Ex: Test2:6
Diagonals of a rhombus formula
P = 2(A/Q) A = Area, P = diagonal length, Q = other diagonal length.
Ex: 2002:23
What is your distance formula?
What is your equation of a circle formula?
(h,k) = (x,y) of the center of the circle
Ex: 2015A:30, 2002:26, test 5:15
What is your mid-point formula?
Ex:2011J:19, 2013D:17
Find a single term in an arithmetic sequence
an=a1+(n−1)d . a1 = the first term in the sequence) n = number of terms
Ex: 2008J:1
Common difference in an arithmetic sequence formula
an=a1+(n−1)d .a1 = the first term in the sequence) n = number of terms
Test1:9
Formula to find the number of terms between two terms in an arithmetic sequence:
((difference between 2 numbers)/(common difference)) - 1
Ex:2011A:23
Percent increase/decrease formula
Difference divided by original x 100
Ex: 2012J:3, 2006J:12
Point slope formula
y-y1=m(x-x1) where (x1,y1) is a point on the line
Ex: Test2:16, 2011A:20
Pythagorean Theorem
a²+b²=c²
2005D:14, 2010J:24
slope formula
y2-y1/x2-x1
2011asia:18
slope-intercept form
y=mx+b
Ex: 2008J:17
The formula to find the length of the midsection (or one of the bases) for a trapezoid
midsection = (b1+b2)/2
Ex: 2011Asia:9
What is the "domain" of a function?
all possible x values for the function
Ex: 2005A:9
What is an integer
A whole number (negative or positive)
What is the difference between a real number and an imaginary number?
A real number can be found on a number line
Ex: 2007D:13
What is the difference between a rational number and an irrational number?
A rational number can be expressed as a fraction, while an irrational number cannot.
Ex: 2003D:28
What are four common examples of irrational numbers?
π, e, √2, (any never ending decimal that never repeats)
What is a scalene triangle?
A triangle in which no two sides are equal.
Ex: 2018J:21
What is the difference between a sample survey and a census?
A census attempts to attain information from each member in the population. A sample survey only attains information from a sample of the population and attempts to make a projection for the entire population.
Ex: 16mc1:24
What is the reciprocal of 4/7?
7/4
What is the slope of the line perpendicular to
y = 2/3X + 9
-3/2
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