| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
If a car travels 140 miles in 7 hours, what is the average speed?
| 55 mph | |
| 25 mph | |
| 75 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is (x2)4?
| x8 | |
| x-2 | |
| x6 | |
| x2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x2)4What is \( \frac{4}{9} \) x \( \frac{3}{8} \)?
| \(\frac{1}{6}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{8}{15}\) | |
| \(\frac{4}{27}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{3}{8} \) = \( \frac{4 x 3}{9 x 8} \) = \( \frac{12}{72} \) = \(\frac{1}{6}\)
What is 7c5 + 5c5?
| 12c5 | |
| 12c25 | |
| 12c10 | |
| -2c5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
7c5 + 5c5
(7 + 5)c5
12c5
What is \( \sqrt{\frac{81}{16}} \)?
| 3\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{4}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{81}{16}} \)
\( \frac{\sqrt{81}}{\sqrt{16}} \)
\( \frac{\sqrt{9^2}}{\sqrt{4^2}} \)
\( \frac{9}{4} \)
2\(\frac{1}{4}\)