| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
A factor is a positive __________ that divides evenly into a given number.
fraction |
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mixed number |
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integer |
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improper fraction |
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.
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 43 | |
| 41 | |
| 36 | |
| 39 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36
In a class of 27 students, 10 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 6 | |
| 15 | |
| 21 | |
| 22 |
The number of students taking German or Spanish is 10 + 14 = 24. Of that group of 24, 3 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 24 - 3 = 21 who are taking at least one language. 27 - 21 = 6 students who are not taking either language.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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least common multiple |
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greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Solve for \( \frac{2!}{4!} \)
| 60480 | |
| \( \frac{1}{8} \) | |
| \( \frac{1}{15120} \) | |
| \( \frac{1}{12} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{4!} \)
\( \frac{2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4 \times 3} \)
\( \frac{1}{12} \)