| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
How many 10-passenger vans will it take to drive all 88 members of the football team to an away game?
| 6 vans | |
| 10 vans | |
| 4 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 = \( \frac{88}{10} \) = 8\(\frac{4}{5}\)
So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.
What is -8b3 + 7b3?
| -15b-3 | |
| -b6 | |
| -b9 | |
| -b3 |
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:
-8b3 + 7b3
(-8 + 7)b3
-b3
What is \( \frac{-1z^8}{6z^4} \)?
| -6z4 | |
| -\(\frac{1}{6}\)z2 | |
| -\(\frac{1}{6}\)z4 | |
| -6z12 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-z^8}{6z^4} \)
\( \frac{-1}{6} \) z(8 - 4)
-\(\frac{1}{6}\)z4
Damon loaned Charlie $300 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $48 | |
| $60 | |
| $16 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $300
i = 0.04 x $300
i = $12
What is a7 - 9a7?
| 8a7 | |
| 10a49 | |
| -8a-7 | |
| -8a7 |
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:
1a7 - 9a7
(1 - 9)a7
-8a7