| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is (b2)5?
| b10 | |
| b-3 | |
| 2b5 | |
| b7 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)5What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 50 | |
| 55 | |
| 48 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
If there were a total of 350 raffle tickets sold and you bought 28 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 11% | |
| 8% | |
| 13% |
You have 28 out of the total of 350 raffle tickets sold so you have a (\( \frac{28}{350} \)) x 100 = \( \frac{28 \times 100}{350} \) = \( \frac{2800}{350} \) = 8% chance to win the raffle.
What is -7a2 + 6a2?
| -a2 | |
| -13a2 | |
| 13a-2 | |
| -a-4 |
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:
-7a2 + 6a2
(-7 + 6)a2
-a2
If a car travels 480 miles in 8 hours, what is the average speed?
| 75 mph | |
| 60 mph | |
| 50 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)