Math Rules

Question 1

PEMDAS

Answer 1

Parentheses, Exponents, Multiplication & Division, Addition & Subtraction

Question 2

x * x

Answer 2

x^2

Question 3

x^-a

Answer 3

1 / x^a

Question 4

x^0

Answer 4

1

Question 5

(x^a) * (x^b)

Answer 5

x^(a + b)

Question 6

(x^a)^b

Answer 6

x^(a * b)

Question 7

(x^a) / (x^b)

Answer 7

x^(a - b)

Question 8

(negative)^odd

Answer 8

negative

Question 9

(negative)^even

Answer 9

positive

Question 10

Combination

Answer 10

The selection of items in which order does not matter

Question 11

Permutation

Answer 11

The selection of items in which order matters

Question 12

nCk

Answer 12

Question 13

nPk

Answer 13

Question 14

Standard Form of a Line

Answer 14

y = mx + b (where m is the slope, and b is the y-intercept)

Question 15

Slope

Answer 15

Rise / Run or (y2 - y1) / (x2 - x1)

Question 16

(a * b) + (a * c)

Answer 16

a(b + c)

Question 17

Is 0 an even integer?

Answer 17

Yes

Question 18

Is 1 a prime number?

Answer 18

No

Question 19

What is the lowest prime number and the only even prime number?

Answer 19

2

Question 20

Mode

Answer 20

The most common number(s) in a set

Question 21

Median

Answer 21

The middle term in a set of ascending numbers (when a set has an even amount of numbers, the median is the average of the two middle terms)

Question 22

Average

Answer 22

Average = Sum of the Terms / Number of Terms

Question 23

Speed

Answer 23

Speed = Distance / Time

Question 24

Average Speed

Answer 24

Average Speed = Total Distance / Total Time

Question 25

Area of a Triangle

Answer 25

Area of a Triangle = 1/2(b * h)

Question 26

Area of a Square

Answer 26

Area of a Square = s^2

Question 27

Area of a Rectangle

Answer 27

Area of a Rectangle = l * w

Question 28

Area of a Parallelogram

Answer 28

Area of a Parallelogram = b*h

Question 29

Area of a Trapezoid

Answer 29

Area of a Trapezoid = 1/2(b1 + b2) * h

Question 30

Volume of a Cylinder

Answer 30

Volume of a Cylinder = πr^2h

Question 31

Surface Area of a Cylinder

Answer 31

Surface Area of a Cylinder = (2πr^2) + πdh

Question 32

Volume of a Rectangular Prism

Answer 32

Volume of a Rectangular Prism = lwh

Question 33

Surface Area of a Rectangular Prism

Answer 33

Surface Area of a Rectangular Prism = 2(lw + lh + wh)

Question 34

Diameter

Answer 34

Diameter = 2r

Question 35

Circumference

Answer 35

Circumference = πd

Question 36

Area of a Circle

Answer 36

Area of a Circle = πr^2

Question 37

Area of a Sphere

Answer 37

Area of a Sphere = 4πr^2

Question 38

FOIL

Answer 38

First, Outer, Inner, Last

Question 39

x^2 - y^2

Answer 39

(x + y)(x - y)

Question 40

x^2 + 2xy +y^2

Answer 40

(x + y)(x + y)

Question 41

x^2 - 2xy + y^2

Answer 41

(x - y)(x - y)

Question 42

Pythagorean Theorem

Answer 42

a^2 + b^2 = c^2

Question 43

30 60 90 Right Triangle

Answer 43

a, b, c = x, x√3, 2x

Question 44

45 45 90 Right Triangle

Answer 44

a, b, c = x, x, x√2

Question 45

√a * √b

Answer 45

√(a * b)

Question 46

√a / √b

Answer 46

√(a / b)

Question 47

(a * √c) + (b * √c)

Answer 47

(a + b) √c

Question 48

√a + √b

Answer 48

√(a+ b)

Question 49

(√a)^2

Answer 49

a

Question 50

Quadratic Formula

Answer 50

Question 51

Equation of a Circle

Answer 51

Question 52

Simple Interest Rate Formula

Answer 52

Question 53

Compound Interest

Answer 53

Question 54

Population Standard Deviation

Answer 54

Question 55

Sample Standard Deviation

Answer 55

Question 56

Interior Angle of a Polygon Formula

Answer 56

((n - 2) * 180) / n

Question 57

Mutually Exclusive

Answer 57

Events that cannot occur at the same time

Question 58

Independent

Answer 58

The occurrence of either event does not affect the occurrence of the other

Question 59

P(E or F, or both)

Answer 59

P(E) + P(F) - P(E and F) which is the inclusion exclusion principle tied to probability

Question 60

P(E or F)

Answer 60

P(E or F) = P(E) + P(F) if E and F are mutually exclusive

Question 61

P(E and F)

Answer 61

P(E and F) = P(E) * P(F)