| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
| 1 | |
| 1.4 | |
| 1.0 | |
| 5.0 |
1
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 34 | |
| 29 | |
| 37 | |
| 36 |
The equation for this sequence is:
an = an-1 + 7
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 7
a6 = 29 + 7
a6 = 36
If all of a roofing company's 10 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 11 | |
| 13 | |
| 12 | |
| 4 |
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 10 workers at the company now and that's enough to staff 5 crews so there are \( \frac{10}{5} \) = 2 workers on a crew. 7 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 7 x 2 = 14 total workers to staff the crews during the busy season. The company already employs 10 workers so they need to add 14 - 10 = 4 new staff for the busy season.
Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{-2y^7}{6y^2} \)?
| -\(\frac{1}{3}\)y9 | |
| -\(\frac{1}{3}\)y\(\frac{2}{7}\) | |
| -3y5 | |
| -\(\frac{1}{3}\)y5 |
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:
\( \frac{-2y^7}{6y^2} \)
\( \frac{-2}{6} \) y(7 - 2)
-\(\frac{1}{3}\)y5