| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is \( \frac{1}{7} \) x \( \frac{1}{8} \)?
| \(\frac{2}{21}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{1}{40}\) | |
| \(\frac{1}{56}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{1}{8} \) = \( \frac{1 x 1}{7 x 8} \) = \( \frac{1}{56} \) = \(\frac{1}{56}\)
If all of a roofing company's 8 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?
| 5 | |
| 8 | |
| 12 | |
| 3 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are \( \frac{8}{2} \) = 4 workers on a crew. 5 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 5 x 4 = 20 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 20 - 8 = 12 new staff for the busy season.
What is z7 x z5?
| 2z12 | |
| z35 | |
| z12 | |
| 2z35 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
z7 x z5
(1 x 1)z(7 + 5)
z12
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Latoya scored 79% on her final exam. If each question was worth 3 points and there were 210 possible points on the exam, how many questions did Latoya answer correctly?
| 55 | |
| 59 | |
| 43 | |
| 50 |
Latoya scored 79% on the test meaning she earned 79% of the possible points on the test. There were 210 possible points on the test so she earned 210 x 0.79 = 165 points. Each question is worth 3 points so she got \( \frac{165}{3} \) = 55 questions right.