| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is 9a2 + 5a2?
| -4a2 | |
| 14a2 | |
| 4a2 | |
| -4a-2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
9a2 + 5a2
(9 + 5)a2
14a2
What is the least common multiple of 2 and 8?
| 8 | |
| 9 | |
| 14 | |
| 12 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 have in common.
Which of these numbers is a factor of 20?
| 21 | |
| 4 | |
| 1 | |
| 6 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 3 cups | |
| 1 cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups