| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
If \( \left|a - 4\right| \) + 8 = 1, which of these is a possible value for a?
| 9 | |
| 11 | |
| -14 | |
| -8 |
First, solve for \( \left|a - 4\right| \):
\( \left|a - 4\right| \) + 8 = 1
\( \left|a - 4\right| \) = 1 - 8
\( \left|a - 4\right| \) = -7
The value inside the absolute value brackets can be either positive or negative so (a - 4) must equal - 7 or --7 for \( \left|a - 4\right| \) to equal -7:
| a - 4 = -7 a = -7 + 4 a = -3 | a - 4 = 7 a = 7 + 4 a = 11 |
So, a = 11 or a = -3.
22 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 2 | |
| 3 | |
| 8 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 22 people needing transportation leaving 22 - 20 = 2 who will have to find other transportation.
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
How many hours does it take a car to travel 385 miles at an average speed of 55 miles per hour?
| 1 hour | |
| 4 hours | |
| 7 hours | |
| 6 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 = \( \frac{385mi}{55mph} \)
7 hours
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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associative |
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distributive |
|
PEDMAS |
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.