Math

Question 1

Integer

Answer 1

all positive and negative whole numbers and zero; they do not include fractions, decimals, or irrational numbers

Question 2

(x+y)^2

Answer 2

x^2 + 2xy + y^2

Question 3

(x-y)^2

Answer 3

x^2 -2xy + y^2

Question 4

p2 - q2

Answer 4

(p + q)(p - q)

Question 5

Be able to factor out x2 + 5x - 24

Answer 5

(x + 8)(x - 3)

Product of -24 and sum of 5

Question 6

Percent Change

Answer 6

(New - Original) / Original * 100

Question 7

A ratio

Answer 7

a single fraction

Question 8

a proportion

Answer 8

an equation like “fraction = fraction”

Question 9

1/(A/B) =

Answer 9

1/A divided by 1/B because both sides equal B/A

Question 10

If something triples, it increases by

Answer 10

200%

Question 11

doubling is increasing by

Answer 11

100%

Question 12

A 50% increase followed by a 50% decrease is equal to a total

Answer 12

25% decrease

Question 13

A 45-45-90* triangle is an

Answer 13

isosceles right triangle with a side ratio of 1:1:√2

Question 14

Any isosceles triangle has

Answer 14

two (or more) equal sides opposing two (or more) equal angles

Question 15

A 30-60-90* triangle is

Answer 15

half of an equilateral triangle with a side ratio of 1:√3:2

Question 16

Parallelogram

Answer 16

Opposite sides are parallel and equal

Question 17

Rectangle

Answer 17

Four right angles

Question 18

Sum of all the angles in an n-sided polygon is

Answer 18

(n - 2) * 180

Question 19

Length of the diagonal between opposite vertices of a rectangular solid with dimensions h by w by d is

Answer 19

√(h2 + w2 + d2)

Question 20

Length of the diagonal between opposite vertices of a cube with edge length s is

Answer 20

s√3

Question 21

Area of a parallelogram

Answer 21

base*height

Question 22

Slope of a horizontal line

Answer 22

zero

Question 23

Trapezoid

Answer 23

Quadrilateral with only one pair of parallel sides

Question 24

Rhombus

Answer 24

Quadrilateral with four equal sides

Question 25

Square

Answer 25

Quadrilateral with four equal sides and interior angles of 90*

Question 26

Pythagorean Triplets include

Answer 26

3/4/5, 5/12/13, and 8/15/17

Question 27

A regular polygon has

Answer 27

all equal side lengths and all equal angle measures

Question 28

Lines with negative slopes must pass through quadrants

Answer 28

II and IV

Question 29

Quadrants go

Answer 29

top right clockwise 1 to 4

Question 30

The area of a trapezoid is

Answer 30

(b1+b2)/2 times height

Question 31

Inclusive (ex: numbers between X and X inclusive)

Answer 31

incorporates the start and end as well : end - start + 1

Question 32

a multiple of every positive integer

Answer 32

0

Question 33

A multiple of a number

Answer 33

that number times an integer

Question 34

Odd Number * Even Number

Answer 34

Even

Question 35

Odd Number * Odd Number

Answer 35

Odd

Question 36

Odd Number +/- Even Number

Answer 36

Odd

Question 37

Odd Number +/- Odd Number

Answer 37

Even

Question 38

“Number” includes

Answer 38

decimals and fractions

Question 39

number is divisible by 3 if

Answer 39

the sum of its digits is divisible by 3

Question 40

A number is divisible by 6 if

Answer 40

it is an even number with the sum of its digits divisible by 3

Question 41

A number is divisible by 4 if

Answer 41

the last two digits are divisible by 4

Question 42

(x^m)^n

Answer 42

x^(m*n)

Question 43

x^m * x^n

Answer 43

x^(m+n)

Question 44

Are 0 and 1 considered prime numbers?

Answer 44

no

Question 45

List the prime numbers less than 20

Answer 45

There are eight prime numbers less than 20: 2,3,5,7,11,13,17,19

Question 46

If we divide p by q, q is the ----- and p is the ------

Answer 46

If we divide p by q, q is the divisor and p is the dividend

Question 47

5 objects can be arranged ------- ways

Answer 47

5*4*3*2*1 or 120 ways

Question 48

Order matters in --------, but not -------------

Answer 48

Order matters in permutation, but not combination

Question 49

Fundamental Counting Principle means three events can happen in --------- ways

Answer 49

N*M*P ways

Question 50

nCr means --------- it is equal to ------------

Answer 50

nCr means n choose r or the combination of r things that can be selected from a pool of n things; it is equal to n! / r!(n-r)!

Question 51

If a number is divisible by x and y, is it always divisible by x*y

Answer 51

no

Question 52

find the result of multiple percent variations

Answer 52

Use multipliers A number decreased by 10%, then increased by 50%, then decreased by 20% is # * .9*1.5*.8 or times 1.08 or 8% increase

Question 53

Probability of A or B is

Answer 53

the probability of either minus the probability of them both

Question 54

trick to find the number of factors of N

Answer 54

1) Find the prime factorization of N N = (2a)(3b)(5c)… 2) Collect the set of exponents of the prime factors: {a, b, c, …} 3) Add one to every member of this set: {a + 1, b + 1, c + 1, …} 4) Find the product of every number in this latter set. That product is the number of factors of N. This count includes 1 (the factor of every number) and N

Question 55

arc length of a circle

Answer 55

2*pi*radius * (degree/360)

Question 56

When can you square both sides of an inequality?

Answer 56

If you are guaranteed that both sides are positive, then you can square both sides and the inequality is still true. If there is any possibility that the two sides of the inequality have opposite signs, then you can't square both sides.

Question 57

True or False: If one vertex of a triangle is at the center of a circle, and the other two vertices are on the circle, is the triangle always isosceles?

Answer 57

True. Two sides are radii, so they would have to be equal: the definition of isosceles. If the third side is also equal, then it's an equilateral triangle, which is a special case of isosceles.

Question 58

If a triangle ABC has all three points on the circumference of a circle, and segment AB is the diameter, what do we know about the angle C?

Answer 58

it is equal to 90 degrees

Question 59

When any smaller number is divided by a larger one, the quotient is _____ and the remainder is ___

Answer 59

0, the smaller number

Question 60

What percent of a bell curve is between the mean and 1SD above? And 2SD above?

Answer 60

34, 13.5

Question 61

Volume of a sphere

Answer 61

(4/3) pi r^3

Question 62

How is the process of adding, subtracting, multiplying, or dividing both sides of an equation by the same number different between an inequality and a regular equation?

Answer 62

If you multiply or divide both sides of an inequality by a negative number, the direction of the inequality reverses

Question 63

What numbers could x be if its absolute value is equal to -x?

Answer 63

Any number equal to or less than zero

Question 64

What is the absolute value inequality equal to -3 < x < 11?

Answer 64

Since the middle of that region is 4, and the distance from the middle to the edges is 7, then the absolute value of x minus 4 is less than 7

Question 65

True or False: If N is a multiple of p, then the LCM of N and p is N

Answer 65

True

Question 66

When can you add two inequalities?

Answer 66

when the direction of the inequalities () is the same

Question 67

The LCM is always a

Answer 67

positive integer

Question 68

Is zero even, odd, or neither?

Answer 68

even

Question 69

defn of multiple

Answer 69

integers formed by multiplying some integer by any other integer