| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
Simplify \( \sqrt{32} \)
| 4\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 6\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
What is (b4)4?
| 4b4 | |
| b16 | |
| b8 | |
| b0 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b4)4Find the average of the following numbers: 11, 5, 11, 5.
| 11 | |
| 10 | |
| 8 | |
| 3 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 5 + 11 + 5}{4} \) = \( \frac{32}{4} \) = 8
How many hours does it take a car to travel 275 miles at an average speed of 55 miles per hour?
| 3 hours | |
| 5 hours | |
| 1 hour | |
| 7 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 = \( \frac{275mi}{55mph} \)
5 hours
What is the greatest common factor of 56 and 72?
| 8 | |
| 14 | |
| 22 | |
| 44 |
The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 72 have in common.