| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
What is the greatest common factor of 60 and 56?
| 21 | |
| 10 | |
| 36 | |
| 4 |
The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 3 factors [1, 2, 4] making 4 the greatest factor 60 and 56 have in common.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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fraction |
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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.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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none of these is correct |
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a = 7 |
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a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is \( \frac{1y^8}{7y^4} \)?
| \(\frac{1}{7}\)y4 | |
| 7y12 | |
| 7y4 | |
| \(\frac{1}{7}\)y32 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{y^8}{7y^4} \)
\( \frac{1}{7} \) y(8 - 4)
\(\frac{1}{7}\)y4
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 59 | |
| 70 | |
| 66 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61