| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
What is 9c3 + 5c3?
| 14c-6 | |
| 14c9 | |
| 14c3 | |
| -4c3 |
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:
9c3 + 5c3
(9 + 5)c3
14c3
How many hours does it take a car to travel 210 miles at an average speed of 30 miles per hour?
| 9 hours | |
| 7 hours | |
| 1 hour | |
| 2 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 = \( \frac{210mi}{30mph} \)
7 hours
What is the least common multiple of 3 and 5?
| 15 | |
| 1 | |
| 14 | |
| 2 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 have in common.
Convert c-5 to remove the negative exponent.
| \( \frac{1}{c^5} \) | |
| \( \frac{-5}{-c} \) | |
| \( \frac{-5}{c} \) | |
| \( \frac{5}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
distributive |
|
PEDMAS |
|
associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.