| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is the greatest common factor of 28 and 20?
| 2 | |
| 15 | |
| 11 | |
| 4 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 20 have in common.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 44 | |
| 46 | |
| 49 | |
| 42 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
If \( \left|c - 4\right| \) + 7 = 1, which of these is a possible value for c?
| -13 | |
| -11 | |
| -2 | |
| 8 |
First, solve for \( \left|c - 4\right| \):
\( \left|c - 4\right| \) + 7 = 1
\( \left|c - 4\right| \) = 1 - 7
\( \left|c - 4\right| \) = -6
The value inside the absolute value brackets can be either positive or negative so (c - 4) must equal - 6 or --6 for \( \left|c - 4\right| \) to equal -6:
| c - 4 = -6 c = -6 + 4 c = -2 | c - 4 = 6 c = 6 + 4 c = 10 |
So, c = 10 or c = -2.
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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mixed number |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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least common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.