| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{3}{8}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 1 cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{11}{8} \)) cups
\( \frac{8}{8} \) cups
1 cups
If \( \left|c + 8\right| \) + 8 = -6, which of these is a possible value for c?
| 2 | |
| -4 | |
| 5 | |
| -22 |
First, solve for \( \left|c + 8\right| \):
\( \left|c + 8\right| \) + 8 = -6
\( \left|c + 8\right| \) = -6 - 8
\( \left|c + 8\right| \) = -14
The value inside the absolute value brackets can be either positive or negative so (c + 8) must equal - 14 or --14 for \( \left|c + 8\right| \) to equal -14:
| c + 8 = -14 c = -14 - 8 c = -22 | c + 8 = 14 c = 14 - 8 c = 6 |
So, c = 6 or c = -22.
How many 12-passenger vans will it take to drive all 75 members of the football team to an away game?
| 7 vans | |
| 15 vans | |
| 9 vans | |
| 12 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{75}{12} \) = 6\(\frac{1}{4}\)
So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.
13 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 1 | |
| 5 | |
| 8 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 13 people needing transportation leaving 13 - 8 = 5 who will have to find other transportation.
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 |
|
a = -7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).