Rules to Remember

Question 1

Percent Change Formula

Answer 1

[(Amount of change)/(Starting Amount)] * 100

Question 2

How do you find aggregate change?

Answer 2

Multiply the respective multipliers. ex: (1.40)(0.70)(1.20)

Question 3

Don’t assume x is…

Answer 3

…an integer unless specified.

Question 4

(even)+(even)=

Answer 4

even

Question 5

(odd)+(odd)=

Answer 5

even

Question 6

(even)+(odd)=

Answer 6

odd

Question 7

(even) * (even)=

Answer 7

even

Question 8

(odd) * (odd)=

Answer 8

odd

Question 9

(even) * (odd)=

Answer 9

even

Question 10

2 is the only…

Answer 10

…even prime number.

Question 11

If zero is an option…

Answer 11

…then it is forbidden to divide by a variable.

Question 12

A^2-B^2 is equal to…

Answer 12

(A+B)(A-B)

Question 13

(A+B)^2 is equal to…

Answer 13

A^2 + 2AB + B^2

Question 14

(A-B)^2 is equal to…

Answer 14

A^2 - 2AB + B^2

Question 15

Add/Subtracting any number/variable or dividing by a positive to both sides of an inequality…

Answer 15

…leaves the inequality true.

Question 16

Exponentiation distributes over…

Answer 16

…multiplication but not addition.

Question 17

Multiplying exponents…

Answer 17

…add together.

Question 18

Dividing exponents…

Answer 18

…subtract from one another.

Question 19

Raising a power to a power…

Answer 19

…multiplies the powers together.

Question 20

3^3

Answer 20

27

Question 21

4^3

Answer 21

64

Question 22

5^3

Answer 22

125

Question 23

Average Velocity of a Trip

Answer 23

(Total distance) / (Total time)

Question 24

Given the mean, sum of items =

Answer 24

= (Average) * (# of items)

Question 25

If all entries of the list are equal then the standard deviation...

Answer 25

...is zero.

Question 26

If all entries have a number added or subtracted the SD...

Answer 26

...doesn't change.

Question 27

If you multiply a list by a constant the SD...

Answer 27

...the SD is also multiplied by that constant.

Question 28

If all entries are the same distance away from the mean, the distance is...

Answer 28

... the standard deviation.

Question 29

Inclusive Counting Formula (ex: from a to b)

Answer 29

Number of entries = (a - b) + 1

Question 30

Sum - Inclusive counting

Answer 30

= (sum of each pair) * (# of pairs)

Question 31

Inclusive counting sum works for...

Answer 31

...consecutive integers, consecutive multiples of any integer, and any sequence in which each new term is the previous term plus a constant.

Question 32

Do not assume lines are...

Answer 32

...perfectly perpendicular or parallel.

Question 33

The sum of two sides of a triangle must...

Answer 33

...be longer than the third.

Question 34

Other names for an isosceles triangle are...

Answer 34

...the 45-45-90 triangle and the rad2:1:1 triangle.

Question 35

Other names for a half equilateral triangle are...

Answer 35

...the 30-60-90 triangle and the 1:rad3:2 triangle.

Question 36

Circumference of a Circle

Answer 36

c = pi * d c = 2 * pi * r

Question 37

Area of a Circle

Answer 37

A = pi * r^2

Question 38

Fundamental Counting Principle

Answer 38

If a category has P alternatives and Q alternatives, with no overlap, P*Q equals the number of possible combinations.

Question 39

Permutation vs. Combination

Answer 39

In a permutation order matters; in a combination order does NOT matter.

Question 40

Permutation Formula

Answer 40

of permutations of n objects = n!

Question 41

Combination Formula

Answer 41

of combinations = [n! / r! * (n - r)!]

Question 42

In the combination formula...

Answer 42

..."n" is the larger collection and "r" is the number of elements selected.

Question 43

"Disjoint" events are...

Answer 43

...mutually exclusive.

Question 44

Mutually exclusive or disjoint events formula

Answer 44

P(A or B) = P(A) + P(B)

Question 45

Non-disjoint events formula

Answer 45

P(A or B) = P(A) + P(B) - P(A and B)

Question 46

Independent events formula

Answer 46

P(A and B) = P(A) x P(B)

Question 47

P(A or not A) =

Answer 47

1

Question 48

P(not A) =

Answer 48

1 - P(A)

Question 49

The negation or opposite of "at least 1" is...

Answer 49

...none.

Question 50

P(at least one success) =

Answer 50

1 - P(no successes)

Question 51

Interquartile Range (IQR)

Answer 51

Between Q1 and Q3

Question 52

Histogram is a representation of the...

Answer 52

...distribution of a single qualitative variable.

Question 53

It's impossible to calculate the mean from a...

Answer 53

...histogram.

Question 54

Population between one SD of the mean equals...

Answer 54

...68%.

Question 55

Population between two SDs of the mean equals...

Answer 55

...95%.

Question 56

Population between three SDs of the mean equals...

Answer 56

...99.7%.

Question 57

For quantitative comparison questions know that...

Answer 57

...dividing by anything other than a positive is forbidden.