| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If a mayor is elected with 75% of the votes cast and 81% of a town's 20,000 voters cast a vote, how many votes did the mayor receive?
| 11,988 | |
| 10,206 | |
| 12,150 | |
| 10,854 |
If 81% of the town's 20,000 voters cast ballots the number of votes cast is:
(\( \frac{81}{100} \)) x 20,000 = \( \frac{1,620,000}{100} \) = 16,200
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 16,200 = \( \frac{1,215,000}{100} \) = 12,150 votes.
If a car travels 600 miles in 8 hours, what is the average speed?
| 30 mph | |
| 55 mph | |
| 75 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is 9x3 + 7x3?
| 2x3 | |
| -2x-3 | |
| 16x3 | |
| 2x-3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
9x3 + 7x3
(9 + 7)x3
16x3
What is \( \frac{6\sqrt{10}}{2\sqrt{2}} \)?
| 5 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{10}}{2\sqrt{2}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{10}{2}} \)
3 \( \sqrt{5} \)