| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is the least common multiple of 8 and 12?
| 37 | |
| 24 | |
| 8 | |
| 15 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 have in common.
What is the greatest common factor of 64 and 72?
| 13 | |
| 59 | |
| 41 | |
| 8 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 64 and 72 have in common.
If \( \left|x - 7\right| \) + 5 = -8, which of these is a possible value for x?
| 13 | |
| 20 | |
| 7 | |
| 9 |
First, solve for \( \left|x - 7\right| \):
\( \left|x - 7\right| \) + 5 = -8
\( \left|x - 7\right| \) = -8 - 5
\( \left|x - 7\right| \) = -13
The value inside the absolute value brackets can be either positive or negative so (x - 7) must equal - 13 or --13 for \( \left|x - 7\right| \) to equal -13:
| x - 7 = -13 x = -13 + 7 x = -6 | x - 7 = 13 x = 13 + 7 x = 20 |
So, x = 20 or x = -6.
Which of these numbers is a factor of 64?
| 28 | |
| 48 | |
| 9 | |
| 8 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
What is the least common multiple of 8 and 12?
| 37 | |
| 24 | |
| 8 | |
| 15 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 have in common.