| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
How many hours does it take a car to travel 105 miles at an average speed of 15 miles per hour?
| 1 hour | |
| 2 hours | |
| 6 hours | |
| 7 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 = \( \frac{105mi}{15mph} \)
7 hours
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
|
commutative |
|
PEDMAS |
|
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.
How many 15-passenger vans will it take to drive all 57 members of the football team to an away game?
| 10 vans | |
| 3 vans | |
| 4 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{57}{15} \) = 3\(\frac{4}{5}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
Diane scored 83% on her final exam. If each question was worth 2 points and there were 60 possible points on the exam, how many questions did Diane answer correctly?
| 25 | |
| 30 | |
| 13 | |
| 20 |
Diane scored 83% on the test meaning she earned 83% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.83 = 50 points. Each question is worth 2 points so she got \( \frac{50}{2} \) = 25 questions right.
If \( \left|c - 8\right| \) - 7 = 2, which of these is a possible value for c?
| 2 | |
| -3 | |
| -19 | |
| 17 |
First, solve for \( \left|c - 8\right| \):
\( \left|c - 8\right| \) - 7 = 2
\( \left|c - 8\right| \) = 2 + 7
\( \left|c - 8\right| \) = 9
The value inside the absolute value brackets can be either positive or negative so (c - 8) must equal + 9 or -9 for \( \left|c - 8\right| \) to equal 9:
| c - 8 = 9 c = 9 + 8 c = 17 | c - 8 = -9 c = -9 + 8 c = -1 |
So, c = -1 or c = 17.