| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
What is \( \frac{2}{8} \) ÷ \( \frac{1}{8} \)?
| 16 | |
| \(\frac{2}{21}\) | |
| 2 | |
| \(\frac{1}{12}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{8} \) ÷ \( \frac{1}{8} \) = \( \frac{2}{8} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{8}{1} \) = \( \frac{2 x 8}{8 x 1} \) = \( \frac{16}{8} \) = 2
What is (x2)3?
| x6 | |
| 2x3 | |
| x | |
| 3x2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x2)3Which of these numbers is a factor of 40?
| 2 | |
| 30 | |
| 44 | |
| 8 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
Convert y-5 to remove the negative exponent.
| \( \frac{1}{y^{-5}} \) | |
| \( \frac{-5}{-y} \) | |
| \( \frac{-1}{-5y} \) | |
| \( \frac{1}{y^5} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
How many hours does it take a car to travel 480 miles at an average speed of 60 miles per hour?
| 4 hours | |
| 7 hours | |
| 5 hours | |
| 8 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{480mi}{60mph} \)
8 hours