| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (2\(\frac{1}{4}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
How many 7-passenger vans will it take to drive all 39 members of the football team to an away game?
| 5 vans | |
| 6 vans | |
| 15 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{39}{7} \) = 5\(\frac{4}{7}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
Solve 3 + (3 + 2) ÷ 5 x 3 - 22
| \(\frac{7}{9}\) | |
| 3 | |
| 2 | |
| \(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (3 + 2) ÷ 5 x 3 - 22
P: 3 + (5) ÷ 5 x 3 - 22
E: 3 + 5 ÷ 5 x 3 - 4
MD: 3 + \( \frac{5}{5} \) x 3 - 4
MD: 3 + \( \frac{15}{5} \) - 4
AS: \( \frac{15}{5} \) + \( \frac{15}{5} \) - 4
AS: \( \frac{30}{5} \) - 4
AS: \( \frac{30 - 20}{5} \)
\( \frac{10}{5} \)
2
What is \( \frac{-1y^6}{3y^3} \)?
| -3y-3 | |
| -3y3 | |
| -\(\frac{1}{3}\)y3 | |
| -3y9 |
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:
\( \frac{-y^6}{3y^3} \)
\( \frac{-1}{3} \) y(6 - 3)
-\(\frac{1}{3}\)y3
12 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 3 | |
| 4 | |
| 2 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 12 people needing transportation leaving 12 - 9 = 3 who will have to find other transportation.