| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
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).
Convert y-3 to remove the negative exponent.
| \( \frac{-1}{-3y} \) | |
| \( \frac{1}{y^3} \) | |
| \( \frac{-1}{y^{-3}} \) | |
| \( \frac{3}{y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If a mayor is elected with 83% of the votes cast and 61% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?
| 12,078 | |
| 9,394 | |
| 9,260 | |
| 11,139 |
If 61% of the town's 22,000 voters cast ballots the number of votes cast is:
(\( \frac{61}{100} \)) x 22,000 = \( \frac{1,342,000}{100} \) = 13,420
The mayor got 83% of the votes cast which is:
(\( \frac{83}{100} \)) x 13,420 = \( \frac{1,113,860}{100} \) = 11,139 votes.
17 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 8 | |
| 4 | |
| 3 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 17 people needing transportation leaving 17 - 15 = 2 who will have to find other transportation.
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.