| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is -3a2 + 9a2?
| 6a-4 | |
| 6a2 | |
| -12a-2 | |
| 12a2 |
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:
-3a2 + 9a2
(-3 + 9)a2
6a2
What is (b3)4?
| 4b3 | |
| b | |
| b-1 | |
| b12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)4How many hours does it take a car to travel 330 miles at an average speed of 55 miles per hour?
| 4 hours | |
| 3 hours | |
| 6 hours | |
| 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 = \( \frac{330mi}{55mph} \)
6 hours
| 5.4 | |
| 5.0 | |
| 1.0 | |
| 1 |
1
What is -7x3 x 8x2?
| -56x-1 | |
| x6 | |
| x5 | |
| -56x5 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-7x3 x 8x2
(-7 x 8)x(3 + 2)
-56x5