| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If a car travels 80 miles in 4 hours, what is the average speed?
| 50 mph | |
| 20 mph | |
| 60 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of the following is not a prime number?
9 |
|
2 |
|
7 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
If \( \left|z + 8\right| \) - 8 = -6, which of these is a possible value for z?
| -11 | |
| 10 | |
| -10 | |
| -7 |
First, solve for \( \left|z + 8\right| \):
\( \left|z + 8\right| \) - 8 = -6
\( \left|z + 8\right| \) = -6 + 8
\( \left|z + 8\right| \) = 2
The value inside the absolute value brackets can be either positive or negative so (z + 8) must equal + 2 or -2 for \( \left|z + 8\right| \) to equal 2:
| z + 8 = 2 z = 2 - 8 z = -6 | z + 8 = -2 z = -2 - 8 z = -10 |
So, z = -10 or z = -6.
What is -z4 - 7z4?
| -8z4 | |
| -8z-4 | |
| 6z4 | |
| 6z8 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-1z4 - 7z4
(-1 - 7)z4
-8z4
9 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 3 | |
| 6 | |
| 2 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 9 people needing transportation leaving 9 - 8 = 1 who will have to find other transportation.