| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Simplify \( \sqrt{8} \)
| 2\( \sqrt{2} \) | |
| 3\( \sqrt{4} \) | |
| 5\( \sqrt{4} \) | |
| 6\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
fraction |
|
mixed number |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
April scored 74% on her final exam. If each question was worth 2 points and there were 100 possible points on the exam, how many questions did April answer correctly?
| 37 | |
| 49 | |
| 52 | |
| 35 |
April scored 74% on the test meaning she earned 74% of the possible points on the test. There were 100 possible points on the test so she earned 100 x 0.74 = 74 points. Each question is worth 2 points so she got \( \frac{74}{2} \) = 37 questions right.
If a mayor is elected with 57% of the votes cast and 61% of a town's 26,000 voters cast a vote, how many votes did the mayor receive?
| 9,040 | |
| 13,164 | |
| 11,578 | |
| 12,847 |
If 61% of the town's 26,000 voters cast ballots the number of votes cast is:
(\( \frac{61}{100} \)) x 26,000 = \( \frac{1,586,000}{100} \) = 15,860
The mayor got 57% of the votes cast which is:
(\( \frac{57}{100} \)) x 15,860 = \( \frac{904,020}{100} \) = 9,040 votes.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 42 | |
| 47 | |
| 54 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46