| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
What is -7c4 - 4c4?
| -3c8 | |
| -11c-4 | |
| 11c-4 | |
| -11c4 |
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:
-7c4 - 4c4
(-7 - 4)c4
-11c4
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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integer |
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mixed number |
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fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
If a car travels 15 miles in 1 hour, what is the average speed?
| 70 mph | |
| 15 mph | |
| 30 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If there were a total of 250 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 15% | |
| 3% | |
| 16% | |
| 4% |
You have 7 out of the total of 250 raffle tickets sold so you have a (\( \frac{7}{250} \)) x 100 = \( \frac{7 \times 100}{250} \) = \( \frac{700}{250} \) = 3% chance to win the raffle.
If \( \left|x + 6\right| \) - 5 = -4, which of these is a possible value for x?
| -5 | |
| 6 | |
| -8 | |
| -19 |
First, solve for \( \left|x + 6\right| \):
\( \left|x + 6\right| \) - 5 = -4
\( \left|x + 6\right| \) = -4 + 5
\( \left|x + 6\right| \) = 1
The value inside the absolute value brackets can be either positive or negative so (x + 6) must equal + 1 or -1 for \( \left|x + 6\right| \) to equal 1:
| x + 6 = 1 x = 1 - 6 x = -5 | x + 6 = -1 x = -1 - 6 x = -7 |
So, x = -7 or x = -5.