| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is \( \frac{1x^7}{7x^4} \)?
| 7x-3 | |
| \(\frac{1}{7}\)x3 | |
| 7x11 | |
| \(\frac{1}{7}\)x1\(\frac{3}{4}\) |
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:
\( \frac{x^7}{7x^4} \)
\( \frac{1}{7} \) x(7 - 4)
\(\frac{1}{7}\)x3
What is -6a3 + 5a3?
| 11a-3 | |
| -a6 | |
| -11a-3 | |
| -a3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-6a3 + 5a3
(-6 + 5)a3
-a3
How many 13-passenger vans will it take to drive all 35 members of the football team to an away game?
| 3 vans | |
| 5 vans | |
| 9 vans | |
| 7 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{35}{13} \) = 2\(\frac{9}{13}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
|
least common multiple |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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commutative |
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distributive |
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PEDMAS |
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.