| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
What is 8y2 - 9y2?
| -y2 | |
| 17y4 | |
| y-2 | |
| 17y2 |
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:
8y2 - 9y2
(8 - 9)y2
-y2
If there were a total of 150 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 5% | |
| 16% | |
| 3% | |
| 9% |
You have 7 out of the total of 150 raffle tickets sold so you have a (\( \frac{7}{150} \)) x 100 = \( \frac{7 \times 100}{150} \) = \( \frac{700}{150} \) = 5% chance to win the raffle.
How many 8-passenger vans will it take to drive all 86 members of the football team to an away game?
| 11 vans | |
| 6 vans | |
| 7 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{86}{8} \) = 10\(\frac{3}{4}\)
So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.
What is \( \frac{3}{8} \) x \( \frac{1}{8} \)?
| \(\frac{3}{64}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{8}{27}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{1}{8} \) = \( \frac{3 x 1}{8 x 8} \) = \( \frac{3}{64} \) = \(\frac{3}{64}\)
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 25 | |
| 31 | |
| 30 | |
| 36 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31