| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.74 |
| Score | 0% | 75% |
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
11 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 3 | |
| 8 | |
| 7 |
There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 who will have to find other transportation.
If \( \left|x + 5\right| \) - 3 = -2, which of these is a possible value for x?
| -3 | |
| -6 | |
| -19 | |
| -8 |
First, solve for \( \left|x + 5\right| \):
\( \left|x + 5\right| \) - 3 = -2
\( \left|x + 5\right| \) = -2 + 3
\( \left|x + 5\right| \) = 1
The value inside the absolute value brackets can be either positive or negative so (x + 5) must equal + 1 or -1 for \( \left|x + 5\right| \) to equal 1:
| x + 5 = 1 x = 1 - 5 x = -4 | x + 5 = -1 x = -1 - 5 x = -6 |
So, x = -6 or x = -4.
Find the average of the following numbers: 7, 5, 8, 4.
| 2 | |
| 11 | |
| 6 | |
| 68 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{7 + 5 + 8 + 4}{4} \) = \( \frac{24}{4} \) = 6
How many hours does it take a car to travel 260 miles at an average speed of 65 miles per hour?
| 7 hours | |
| 8 hours | |
| 4 hours | |
| 9 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{260mi}{65mph} \)
4 hours