| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
8 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 4 | |
| 7 | |
| 8 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 8 people needing transportation leaving 8 - 4 = 4 who will have to find other transportation.
Solve for \( \frac{4!}{2!} \)
| 120 | |
| 15120 | |
| 12 | |
| \( \frac{1}{5} \) |
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:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| \(\frac{3}{4}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 2\(\frac{3}{8}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{6}{8} \) cups
\(\frac{3}{4}\) cups
Simplify \( \sqrt{125} \)
| 5\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) | |
| 7\( \sqrt{10} \) | |
| 6\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).