| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is 4x7 + 2x7?
| 6x14 | |
| 6x7 | |
| -2x7 | |
| 2x7 |
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:
4x7 + 2x7
(4 + 2)x7
6x7
Solve for \( \frac{3!}{2!} \)
| \( \frac{1}{6} \) | |
| 210 | |
| \( \frac{1}{120} \) | |
| 3 |
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:
\( \frac{3!}{2!} \)
\( \frac{3 \times 2 \times 1}{2 \times 1} \)
\( \frac{3}{1} \)
3
If a car travels 405 miles in 9 hours, what is the average speed?
| 65 mph | |
| 45 mph | |
| 60 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Simplify \( \sqrt{32} \)
| 4\( \sqrt{4} \) | |
| 9\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
| 3.0 | |
| 2.4 | |
| 1 | |
| 1.8 |
1