| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Solve for \( \frac{3!}{5!} \)
| 840 | |
| \( \frac{1}{20} \) | |
| \( \frac{1}{1680} \) | |
| \( \frac{1}{120} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)
Which of the following is not a prime number?
7 |
|
9 |
|
5 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is 7y4 x 6y3?
| 42y-1 | |
| 42y | |
| 42y7 | |
| 13y3 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
7y4 x 6y3
(7 x 6)y(4 + 3)
42y7
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 16 | |
| 20 | |
| 21 | |
| 24 |
The equation for this sequence is:
an = an-1 + 4
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4
a6 = 17 + 4
a6 = 21
Which of these numbers is a factor of 36?
| 9 | |
| 27 | |
| 14 | |
| 13 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.