| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.75 |
| Score | 0% | 75% |
4! = ?
4 x 3 |
|
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
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 -8x7 x x5?
| -7x7 | |
| -8x12 | |
| -8x-2 | |
| -8x5 |
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:
-8x7 x x5
(-8 x 1)x(7 + 5)
-8x12
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 43 | |
| 46 | |
| 53 | |
| 49 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Simplify \( \sqrt{112} \)
| 5\( \sqrt{7} \) | |
| 7\( \sqrt{7} \) | |
| 4\( \sqrt{7} \) | |
| 3\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
A bread recipe calls for 2\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 2\(\frac{1}{8}\) cups |
The amount of flour you need is (2\(\frac{3}{4}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{22}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{11}{8} \) cups
1\(\frac{3}{8}\) cups