| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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greatest common factor |
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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.
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common multiple |
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greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
4! = ?
4 x 3 |
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3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 39,167 | |
| 22,667 | |
| 24,000 | |
| 37,500 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{2}{3} \) = \( \frac{68000}{3} \) = 22,667 fans.
What is \( \frac{-2c^8}{1c^2} \)?
| -\(\frac{1}{2}\)c-6 | |
| -2c-6 | |
| -\(\frac{1}{2}\)c10 | |
| -2c6 |
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:
\( \frac{-2c^8}{c^2} \)
\( \frac{-2}{1} \) c(8 - 2)
-2c6