| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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absolute value |
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least common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A triathlon course includes a 300m swim, a 30.4km bike ride, and a 13.8km run. What is the total length of the race course?
| 59km | |
| 66.3km | |
| 44.5km | |
| 44.6km |
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 + 30.4km + 13.8km
total distance = 44.5km
What is 2\( \sqrt{7} \) x 3\( \sqrt{7} \)?
| 42 | |
| 6\( \sqrt{7} \) | |
| 5\( \sqrt{49} \) | |
| 6\( \sqrt{14} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{7} \) x 3\( \sqrt{7} \)
(2 x 3)\( \sqrt{7 \times 7} \)
6\( \sqrt{49} \)
Now we need to simplify the radical:
6\( \sqrt{49} \)
6\( \sqrt{7^2} \)
(6)(7)
42
Frank loaned Alex $100 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $48 | |
| $90 | |
| $30 | |
| $5 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $100
i = 0.05 x $100
i = $5
Which of these numbers is a factor of 24?
| 26 | |
| 9 | |
| 1 | |
| 6 |
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.