| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
A bread recipe calls for 3\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| 1\(\frac{1}{2}\) cups | |
| 2 cups | |
| 1 cups | |
| 2\(\frac{7}{8}\) cups |
The amount of flour you need is (3\(\frac{3}{4}\) - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{30}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
Jennifer scored 83% on her final exam. If each question was worth 2 points and there were 60 possible points on the exam, how many questions did Jennifer answer correctly?
| 31 | |
| 38 | |
| 25 | |
| 30 |
Jennifer scored 83% on the test meaning she earned 83% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.83 = 50 points. Each question is worth 2 points so she got \( \frac{50}{2} \) = 25 questions right.
If \( \left|z - 6\right| \) - 3 = 5, which of these is a possible value for z?
| -6 | |
| 14 | |
| -5 | |
| 13 |
First, solve for \( \left|z - 6\right| \):
\( \left|z - 6\right| \) - 3 = 5
\( \left|z - 6\right| \) = 5 + 3
\( \left|z - 6\right| \) = 8
The value inside the absolute value brackets can be either positive or negative so (z - 6) must equal + 8 or -8 for \( \left|z - 6\right| \) to equal 8:
| z - 6 = 8 z = 8 + 6 z = 14 | z - 6 = -8 z = -8 + 6 z = -2 |
So, z = -2 or z = 14.
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 14 small cakes per hour. The kitchen is available for 4 hours and 37 large cakes and 440 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 12 | |
| 5 | |
| 6 | |
| 7 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 37 large cakes are needed for the party so \( \frac{37}{12} \) = 3\(\frac{1}{12}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 14 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 14 x 4 = 56 small cakes during that time. 440 small cakes are needed for the party so \( \frac{440}{56} \) = 7\(\frac{6}{7}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 8 = 12 cooks.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:6 | |
| 25:2 | |
| 3:1 | |
| 5:8 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.