| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is -7x3 - x3?
| 8x3 | |
| -6x6 | |
| -8x-3 | |
| -8x3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-7x3 - 1x3
(-7 - 1)x3
-8x3
What is \( 3 \)\( \sqrt{28} \) - \( 9 \)\( \sqrt{7} \)
| -6\( \sqrt{196} \) | |
| 27\( \sqrt{4} \) | |
| 27\( \sqrt{196} \) | |
| -3\( \sqrt{7} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{28} \) - 9\( \sqrt{7} \)
3\( \sqrt{4 \times 7} \) - 9\( \sqrt{7} \)
3\( \sqrt{2^2 \times 7} \) - 9\( \sqrt{7} \)
(3)(2)\( \sqrt{7} \) - 9\( \sqrt{7} \)
6\( \sqrt{7} \) - 9\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{7} \) - 9\( \sqrt{7} \)What is (z4)4?
| z0 | |
| z16 | |
| 4z4 | |
| z8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)4What is \( \frac{1x^6}{6x^3} \)?
| \(\frac{1}{6}\)x\(\frac{1}{2}\) | |
| \(\frac{1}{6}\)x18 | |
| \(\frac{1}{6}\)x3 | |
| \(\frac{1}{6}\)x9 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{x^6}{6x^3} \)
\( \frac{1}{6} \) x(6 - 3)
\(\frac{1}{6}\)x3
How many hours does it take a car to travel 390 miles at an average speed of 65 miles per hour?
| 2 hours | |
| 6 hours | |
| 5 hours | |
| 1 hour |
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 = \( \frac{390mi}{65mph} \)
6 hours