| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
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 menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Ezra buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $7.70 | |
| $3.30 | |
| $18.70 | |
| $13.20 |
By buying two shirts, Ezra will save $11 x \( \frac{30}{100} \) = \( \frac{$11 x 30}{100} \) = \( \frac{$330}{100} \) = $3.30 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $3.30)
$11.00 + $7.70
$18.70
A triathlon course includes a 400m swim, a 30.5km bike ride, and a 9.600000000000001km run. What is the total length of the race course?
| 40.5km | |
| 25.3km | |
| 42.3km | |
| 27.7km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 30.5km + 9.600000000000001km
total distance = 40.5km
In a class of 31 students, 15 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 22 | |
| 26 | |
| 30 |
The number of students taking German or Spanish is 15 + 14 = 29. Of that group of 29, 8 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 29 - 8 = 21 who are taking at least one language. 31 - 21 = 10 students who are not taking either language.
What is \( \frac{4}{8} \) ÷ \( \frac{1}{8} \)?
| 32 | |
| 4 | |
| \(\frac{4}{25}\) | |
| \(\frac{1}{7}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{8} \) ÷ \( \frac{1}{8} \) = \( \frac{4}{8} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{8}{1} \) = \( \frac{4 x 8}{8 x 1} \) = \( \frac{32}{8} \) = 4