| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If a car travels 30 miles in 2 hours, what is the average speed?
| 45 mph | |
| 15 mph | |
| 40 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 or a = -7 |
|
none of these is correct |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
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 3\( \sqrt{8} \) x 8\( \sqrt{2} \)?
| 11\( \sqrt{8} \) | |
| 24\( \sqrt{2} \) | |
| 11\( \sqrt{16} \) | |
| 96 |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{8} \) x 8\( \sqrt{2} \)
(3 x 8)\( \sqrt{8 \times 2} \)
24\( \sqrt{16} \)
Now we need to simplify the radical:
24\( \sqrt{16} \)
24\( \sqrt{4^2} \)
(24)(4)
96
If a mayor is elected with 53% of the votes cast and 74% of a town's 39,000 voters cast a vote, how many votes did the mayor receive?
| 14,719 | |
| 15,296 | |
| 20,491 | |
| 16,450 |
If 74% of the town's 39,000 voters cast ballots the number of votes cast is:
(\( \frac{74}{100} \)) x 39,000 = \( \frac{2,886,000}{100} \) = 28,860
The mayor got 53% of the votes cast which is:
(\( \frac{53}{100} \)) x 28,860 = \( \frac{1,529,580}{100} \) = 15,296 votes.