ACT flash cards MATH

Pythagorean Theorem

a² + b² = c²

Pythagorean Triple

3-4-5

Sin

Opposite/hypotenuse

Cosine

Adjacent/hypotenuse

Tangent

Opposite/Adjacent

Area of a triangle

½ bh

area of a circle

πr²

Area of a parallelogram

a=bh

Area of a trapezoid

½ (b₁+b₂)h

Circumference of a circle

2πr

Number of degrees in any shape with n sides

180(n-2)

x Degrees = x radians

180 degrees = π radians

equation of a line

y=mx+b

Negative reciprocal

flip numerator and denominator, multiply by -1

Cross multiply

When two fractions are set equal

Equilateral triangle

all 3 sides equal

isosceles triangle

2 sides are equal, 2 angles equal

scalene triangle

no sides equal, no angles equal

x^a • x^b

x^a+b

(x^a)^b

x^(ab)

(xy)^a

x^a • y^a

x⁰

1

x^a / x^b

x^a-b

(x/y)^a

x^a / y^a

x^-a

1/x^a

x^a/b

^b√x^a

Mean

average (add all numbers, divide by n)

median

middle number

mode

number that appears most often

range

largest minus smallest number

circle at a point

(x-h)²+(y-k)²=r²

1 square yard

9 square feet

log ₂ x = 5

2⁵ = x

arc length

θ/360 (2πr)

x¹•x²

x¹⁺²

x¹ / x²

x¹⁻²

(x¹)²

x¹°²

x⁰

1

cylinder volume

πr²h

probability “and”

multiply

probability “or”

add

mean

add all values, divide by number of values

median

middle value

mode

most repeated value

range

highest to lowest difference

variance

a type of standard deviation

prime number

any number greater than 1 that can only be divided by 1 and itself

natural numbers

counting numbers starting from 1

whole numbers

natural numbers including 0

integers

all whole numbers including negative

rational number

can be expressed as a fraction

irrational number

non-repeating non-terminating decimal

real number

any numbers that aren’t imaginary

complex numbers

a+bi

complementary angles

adds to 90

supplementary angles

adds to 180

scalene

no sides equal

isosceles

2 sides are equal

equilateral

all sides equal

y varies with x

y=ax

y varies inversely with x

y=a/x