| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
If a car travels 50 miles in 2 hours, what is the average speed?
| 20 mph | |
| 45 mph | |
| 75 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \sqrt{\frac{16}{25}} \)?
| \(\frac{3}{4}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{5}{7}\) | |
| \(\frac{4}{5}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{25}} \)
\( \frac{\sqrt{16}}{\sqrt{25}} \)
\( \frac{\sqrt{4^2}}{\sqrt{5^2}} \)
\(\frac{4}{5}\)
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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distributive property for division |
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commutative property for division |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
Which of these numbers is a factor of 40?
| 10 | |
| 22 | |
| 24 | |
| 6 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
What is the greatest common factor of 36 and 68?
| 8 | |
| 15 | |
| 4 | |
| 20 |
The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 68 have in common.