| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
What is \( \frac{3}{7} \) ÷ \( \frac{4}{6} \)?
| 2\(\frac{4}{7}\) | |
| 4\(\frac{1}{2}\) | |
| \(\frac{9}{14}\) | |
| \(\frac{1}{10}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{7} \) x \( \frac{6}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{7 x 4} \) = \( \frac{18}{28} \) = \(\frac{9}{14}\)
What is (b2)2?
| 15 | |
| b0 | |
| 2b2 | |
| b4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)2Simplify \( \sqrt{45} \)
| 3\( \sqrt{5} \) | |
| 4\( \sqrt{5} \) | |
| 8\( \sqrt{5} \) | |
| 3\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)
Monica scored 93% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Monica answer correctly?
| 32 | |
| 28 | |
| 40 | |
| 37 |
Monica scored 93% on the test meaning she earned 93% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.93 = 111 points. Each question is worth 3 points so she got \( \frac{111}{3} \) = 37 questions right.
15 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 2 | |
| 8 | |
| 7 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 15 people needing transportation leaving 15 - 12 = 3 who will have to find other transportation.