General Math

Question 1

ax^2 + bx + c has two solutions, what are the sum and product?

Answer 1

sum is -b/a
product is c/a

Question 2

solving hidden quadratic equations (ie √x)

Answer 2

1.) Since x = (√x)^2, we can replace
2.) Replace √x with y
3.) Solve for y
4.) Replace y and √x once more to solve

Question 3

Whole number

Answer 3

non-negative integers ie (0, 1, 2, etc)

Question 4

is divisible by 11 if

Answer 4

the sum of the odd-numbered place digits minus the sum of the even-numbered is divisible by 11

Question 5

the product of n consecutive even integers will always be divisible by

Answer 5

2^n * n

Question 6

If x is an integer with k digits and if x is not a perfect power of 10 then 1/x has ________ leading zeros

Answer 6

k-1

Question 7

if x is an integer with k digits and x is a perfect power of 10, then 1/x has _____ leading zeros

Answer 7

k-2

Question 8

all perfect squares end in

Answer 8

0, 1, 3, 4, 5, 6, 9

Question 9

factors or # pos divisors of a number is

Answer 9

1.) Write numbers in prime factorization
2.) Add 1 to each exponent
3.) multiply #s together

Question 10

LCM & GCF

LCM (x,y) * GCF(x,y)

Answer 10

xy

Question 12

The sum of the probabilities of every outcome in the sample space

Answer 12

Will always be 1

Question 13

Probability of independent events

Answer 13

P(a and b and c and d) = p(a) x p(b) x p(c) x p(d)

Question 14

Mutually exclusive events P(A or B)

Answer 14

= P(A) + P(B)

Question 15

Events that are not mutually exclusive
P(A or B)

Answer 15

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

Question 16

Probability an event will occur when there is more than one possible outcome and each outcome has the same probability (ie getting Heads x times in hen flipping a coin y times

Answer 16

Step 1: determine the number of outcomes producing the event (ie combination)
n!
_____
(n-k)!k!

Step 2: determine probability of one outcome

Step 3: multiply # of possible outcomes x probability of one outcome