| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 1\(\frac{1}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{1}{8}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{17}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
What is the least common multiple of 2 and 4?
| 8 | |
| 6 | |
| 4 | |
| 3 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 have in common.
Solve for \( \frac{5!}{4!} \)
| 56 | |
| 336 | |
| 5 | |
| 42 |
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:
\( \frac{5!}{4!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{5}{1} \)
5
The __________ is the greatest factor that divides two integers.
least common multiple |
|
absolute value |
|
greatest common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{49\sqrt{24}}{7\sqrt{6}} \)?
| 7 \( \sqrt{4} \) | |
| \(\frac{1}{7}\) \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{7}} \) | |
| 4 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{49\sqrt{24}}{7\sqrt{6}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{24}{6}} \)
7 \( \sqrt{4} \)