Formulas

Question 1

Formula: area of a triangle

Answer 1

A = 1/2 (base)(height)

Question 2

What is the Pythagorean Theorem?

Answer 2

a² + b² = c²

Question 3

How to calculate slope?

Answer 3

y₂ – y₁ / x₂ – x₁

Question 4

Special Right Triangle
45-45-90

Answer 4

45-45-90
X : X : X √2

Question 5

Special Right Triangle
30-60-90

Answer 5

30-60-90
X : X √3 : 2X

Question 6

Sum of all internal angles in any polygon?

Answer 6

180 (n – 2)
n is the number of sides

Question 7

One interior angle in a regular polygon

Answer 7

180 (n – 2) / n
n is the number of sides

Question 8

Area of a circle

Answer 8

A = πr²

Question 9

Circumference of a circle

Answer 9

C = 2 πr

Question 10

Area of a trapezoid

Answer 10

A = (a + b)/2 * h

Question 11

Even + Even

Answer 11

Even

Question 12

Odd + Odd

Answer 12

Odd

Question 13

Even + Odd

Answer 13

Odd

Question 14

Even * Even

Answer 14

Even

Question 15

Odd * Odd

Answer 15

Odd

Question 16

Even * Odd

Answer 16

Even

Question 17

X^m * Xⁿ

Answer 17

X^m+n

Question 18

X^m / Xⁿ

Answer 18

X^m-n

Question 19

(X^m)ⁿ

Answer 19

X^m*n

Question 20

(X * Y)^m

Answer 20

X^m * Y^m

Question 21

(X / Y)^m

Answer 21

X^m / Y^m

Question 22

X⁰

Answer 22

1

Question 23

X^-n

Answer 23

1/Xⁿ

Question 24

√a * √b

Answer 24

√(a*b)

Question 25

√a / √b

Answer 25

√(a/b)

Question 26

What is the distance formula?

Answer 26

D = rate * time

Question 27

√2

Answer 27

≈1.41

Question 28

√3

Answer 28

≈ 1.7

Question 29

√10

Answer 29

≈ 3.1

Question 30

Simple interest formula

Answer 30

Value = principal (1 + rate*years)

Question 31

Compound interest formula

Answer 31

Value = principal (1 + rate)^time

Question 32

Positive parabola

Answer 32

y = ax² + bx + c

Question 33

Negative parabola

Answer 33

y = -ax² + bx + c
a is negative

Question 34

Circle formula

Answer 34

(x–a)² + (y–b)² = r²
Center is (a,b), radius > 0

Question 35

Absolute value formula

Answer 35

f(x) = |x|
Adding or subtracting numbers shifts the function up or down the x-axis

Question 36

h(x) + c

Answer 36

Graph of h(x) is shifted upwards by c units

Question 37

h(x) + c

Answer 37

Graph of h(x) is shifted upwards by c units

Question 38

h(x) – c

Answer 38

Graph of h(x) is shifted downwards by c units

Question 39

h(x + c)

Answer 39

Graph of h(x) is shifted left by c units

Question 40

h(x – c)

Answer 40

Graph of h(x) is shifted right by c units

Question 41

c*h(x) if c>1

Answer 41

Graph of h(c) is stretched vertically by factor of c

Question 42

c*h(x) if 0<c<1

Answer 42

Graph of h(x) is shrunk vertically by factor of c

Question 43

Real numbers (definition)

Answer 43

All rational and irrational numbers
Ex. 3, 0, 1.5, 3/2, √5

Everything except complex numbers

Question 44

X^a = X^b

Answer 44

a = b

Question 45

Negative number raised to even power
-5²

Answer 45

Always positive

Question 46

Negative number raised to odd power
-5⁵

Answer 46

Always negative

Question 47

How much of the data is within 2 standard deviations of the mean for a normal distribution?

Answer 47

95%

Question 48

How much of the data is within 1 standard deviation of the mean for a normal distribution?

Answer 48

68%

Question 49

Prime number (definition)

Answer 49

A number that is only divisible by 1 and itself

Question 50

First 10 prime numbers

Answer 50

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Question 51

Sum of arithmetic series

Answer 51

S = n/2 {2a + (n–1)d}
a = first term
d = common difference
n = number of terms

Question 52

Parallel slopes are

Answer 52

Equal to each other

Question 53

Perpendicular slopes are

Answer 53

Opposite reciprocals
5 -> -1/5

Question 54

Volume of a cube

Answer 54

V = s³

Question 55

Area of a cube

Answer 55

A = 6s²

Question 56

Volume of a cylinder

Answer 56

V = πr² h

Question 57

Surface area of a cylinder

Answer 57

2 π r² + 2 πrh

Question 58

Finding the midpoint

Answer 58

((X₁ ,X₂)/2) , ((Y₁ ,Y₂)/2)

Question 59

Mode

Answer 59

The number that appears most often in a set of values