| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
A factor is a positive __________ that divides evenly into a given number.
integer |
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improper fraction |
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mixed number |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A bread recipe calls for 3\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 2\(\frac{3}{4}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3\(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{5}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{29}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups
13 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 4 | |
| 3 | |
| 1 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 13 people needing transportation leaving 13 - 9 = 4 who will have to find other transportation.
What is \( \frac{3}{9} \) ÷ \( \frac{3}{8} \)?
| \(\frac{4}{45}\) | |
| \(\frac{8}{9}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{2}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{9} \) ÷ \( \frac{3}{8} \) = \( \frac{3}{9} \) x \( \frac{8}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{8}{3} \) = \( \frac{3 x 8}{9 x 3} \) = \( \frac{24}{27} \) = \(\frac{8}{9}\)
Simplify \( \sqrt{12} \)
| 3\( \sqrt{3} \) | |
| 2\( \sqrt{3} \) | |
| 6\( \sqrt{6} \) | |
| 8\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)