| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| 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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integer |
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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.
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 5 | |
| 9 | |
| 6 | |
| 3 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
What is the greatest common factor of 56 and 72?
| 24 | |
| 8 | |
| 47 | |
| 54 |
The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 72 have in common.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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absolute value |
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greatest common factor |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is -3y2 x 9y4?
| -27y6 | |
| 6y2 | |
| -27y8 | |
| 6y4 |
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:
-3y2 x 9y4
(-3 x 9)y(2 + 4)
-27y6