| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
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 |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{-3a^5}{9a^2} \)?
| -\(\frac{1}{3}\)a7 | |
| -3a-3 | |
| -\(\frac{1}{3}\)a\(\frac{2}{5}\) | |
| -\(\frac{1}{3}\)a3 |
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:
\( \frac{-3a^5}{9a^2} \)
\( \frac{-3}{9} \) a(5 - 2)
-\(\frac{1}{3}\)a3
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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commutative |
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PEDMAS |
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associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
How many hours does it take a car to travel 360 miles at an average speed of 40 miles per hour?
| 9 hours | |
| 4 hours | |
| 3 hours | |
| 7 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{360mi}{40mph} \)
9 hours
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.