| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
In a class of 31 students, 12 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 25 | |
| 21 | |
| 29 |
The number of students taking German or Spanish is 12 + 11 = 23. Of that group of 23, 7 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 23 - 7 = 16 who are taking at least one language. 31 - 16 = 15 students who are not taking either language.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Monty buys two shirts, each with a regular price of $17, how much money will he save?
| 70 | |
| $8.50 | |
| $4.25 | |
| $6.80 |
By buying two shirts, Monty will save $17 x \( \frac{25}{100} \) = \( \frac{$17 x 25}{100} \) = \( \frac{$425}{100} \) = $4.25 on the second shirt.
What is the least common multiple of 4 and 8?
| 10 | |
| 8 | |
| 11 | |
| 31 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
What is -c6 - c6?
| 2c-6 | |
| -2c6 | |
| -2c-6 | |
| 6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-1c6 - 1c6
(-1 - 1)c6
-2c6
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common multiple |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.