| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.72 |
| Score | 0% | 74% |
Which of the following is not an integer?
-1 |
|
0 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If \( \left|a - 6\right| \) + 5 = -6, which of these is a possible value for a?
| 17 | |
| -12 | |
| -9 | |
| -2 |
First, solve for \( \left|a - 6\right| \):
\( \left|a - 6\right| \) + 5 = -6
\( \left|a - 6\right| \) = -6 - 5
\( \left|a - 6\right| \) = -11
The value inside the absolute value brackets can be either positive or negative so (a - 6) must equal - 11 or --11 for \( \left|a - 6\right| \) to equal -11:
| a - 6 = -11 a = -11 + 6 a = -5 | a - 6 = 11 a = 11 + 6 a = 17 |
So, a = 17 or a = -5.
9 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 9 | |
| 5 | |
| 2 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 9 people needing transportation leaving 9 - 4 = 5 who will have to find other transportation.
What is the distance in miles of a trip that takes 4 hours at an average speed of 40 miles per hour?
| 200 miles | |
| 135 miles | |
| 675 miles | |
| 160 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 40mph \times 4h \)
160 miles
What is \( \frac{2}{6} \) x \( \frac{3}{5} \)?
| \(\frac{1}{5}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{1}{14}\) | |
| \(\frac{1}{4}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{3}{5} \) = \( \frac{2 x 3}{6 x 5} \) = \( \frac{6}{30} \) = \(\frac{1}{5}\)