| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 or a = -7 |
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none of these is correct |
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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).
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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commutative |
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distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is the greatest common factor of 56 and 80?
| 8 | |
| 46 | |
| 29 | |
| 13 |
The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 80 have in common.
A triathlon course includes a 300m swim, a 30.5km bike ride, and a 4.4km run. What is the total length of the race course?
| 32.1km | |
| 35.2km | |
| 59.8km | |
| 52.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 30.5km + 4.4km
total distance = 35.2km
If a car travels 65 miles in 1 hour, what is the average speed?
| 65 mph | |
| 70 mph | |
| 60 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)