Clep Mathematics

Front 1

Permutation Formula

Back 1

nPr = (n!)/(n-r)!

n = total number items
r = rate at which they are taken

Front 2

When do you use the permutation formula?

Back 2

When you are taking a limited selection of items and the order DOES MATTER.

Front 3

Combination Formula

Back 3

nCr = (n!)/r!(n-r)!

n = number of items
r = rate at which they are taken

Front 4

When do you use the combination formula?

Back 4

When you are taking a limited selection of items and the order DOES NOT MATTER.

Front 5

Log Rule multiplication

Back 5

log xy = log x + log y

Front 6

Log Rule Division

Back 6

log (x/y) = log x - log y

Front 7

Log Rule Powers

Back 7

n

log X = n (log X)

Front 8

2

i

Back 8

-1

Front 9

3

i

Back 9

-i

Front 10

4

i

Back 10

1

Front 11

5

i

Back 11

i

Front 12

When Ted goes to lunch, he can choose from 3 kinds of soup, 5 kinds of sandwiches and 4 kinds of drinks. How many lunch combinations can he make?

Back 12

This is a simple counting problem. Multiple the number of soups by the number of sandwiches by the number of drinks.

Front 13

What is the inverse of "If S, then R"?

Back 13

If not S, then not R.

Front 14

What is the converse of "If S, then R"?

Back 14

If R, then S.

Front 15

What is the contrapositive of "If S, then R"?

Back 15

If not R, then not S.

Front 16

Do the permutation and combination formulas allow you to use multiples from the group?

Back 16

NO! Permutation and combination formulas assume you can use only one of each thing from the group. If you are using multiples (for example, a four digit number), you do not need these formulas.

Front 17

Cardinal Number

Back 17

The number of elements in a well-defined set.

Front 18

The range of a function is always in terms of which variable?

Back 18

Y

Always

Front 19

The domain of a function is always in terms of which variable?

Back 19

X

Always

Front 20

How do you find the number of distinct zeroes in this function? (also called roots)

2
f(x) = (x-1)

Back 20

Replace f(x) with 0 and solve.
2
0 = (x-1)
x = 1
There is only one distinct zero.

Front 21

Given an equation in the form of:

2

aX + bX + c with

2

b - 4ac < 0

has how many real roots?

Back 21

It has no real roots, but has complex roots.

Front 22

Given an equation in the form of:

2

aX + bX + c with

2

b - 4ac > 0

has how many real roots?

Back 22

2 real roots.