| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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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.
What is 4y3 x 8y6?
| 12y18 | |
| 32y-3 | |
| 32y9 | |
| 32y3 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4y3 x 8y6
(4 x 8)y(3 + 6)
32y9
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = -7 |
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none of these is correct |
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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).
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,500 | |
| 22,000 | |
| 24,750 | |
| 30,000 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{3}{4} \) = \( \frac{99000}{4} \) = 24,750 fans.
Which of these numbers is a factor of 56?
| 1 | |
| 13 | |
| 51 | |
| 24 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.