| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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absolute value |
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greatest common factor |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Convert a-3 to remove the negative exponent.
| \( \frac{-1}{a^{-3}} \) | |
| \( \frac{-1}{-3a^{3}} \) | |
| \( \frac{1}{a^3} \) | |
| \( \frac{1}{a^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following is not a prime number?
2 |
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9 |
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7 |
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5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 53 | |
| 60 | |
| 57 |
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
Simplify \( \frac{20}{68} \).
| \( \frac{7}{15} \) | |
| \( \frac{7}{18} \) | |
| \( \frac{5}{17} \) | |
| \( \frac{5}{11} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{20}{68} \) = \( \frac{\frac{20}{4}}{\frac{68}{4}} \) = \( \frac{5}{17} \)