| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
If \( \left|x - 6\right| \) - 5 = 1, which of these is a possible value for x?
| 5 | |
| -10 | |
| 12 | |
| 7 |
First, solve for \( \left|x - 6\right| \):
\( \left|x - 6\right| \) - 5 = 1
\( \left|x - 6\right| \) = 1 + 5
\( \left|x - 6\right| \) = 6
The value inside the absolute value brackets can be either positive or negative so (x - 6) must equal + 6 or -6 for \( \left|x - 6\right| \) to equal 6:
| x - 6 = 6 x = 6 + 6 x = 12 | x - 6 = -6 x = -6 + 6 x = 0 |
So, x = 0 or x = 12.
Which of these numbers is a factor of 24?
| 16 | |
| 3 | |
| 27 | |
| 8 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
Convert 5,663,000 to scientific notation.
| 5.663 x 105 | |
| 0.566 x 107 | |
| 5.663 x 10-5 | |
| 5.663 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
5,663,000 in scientific notation is 5.663 x 106
How many hours does it take a car to travel 70 miles at an average speed of 35 miles per hour?
| 3 hours | |
| 7 hours | |
| 1 hour | |
| 2 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 = \( \frac{70mi}{35mph} \)
2 hours
If a car travels 315 miles in 7 hours, what is the average speed?
| 75 mph | |
| 30 mph | |
| 70 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)