| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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absolute value |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Ezra loaned Alex $200 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $6 | |
| $21 | |
| $40 | |
| $33 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $200
i = 0.03 x $200
i = $6
Simplify \( \sqrt{48} \)
| 6\( \sqrt{6} \) | |
| 2\( \sqrt{3} \) | |
| 8\( \sqrt{6} \) | |
| 4\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)
Solve for \( \frac{6!}{3!} \)
| 120 | |
| 4 | |
| 336 | |
| 504 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{6!}{3!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{6 \times 5 \times 4}{1} \)
\( 6 \times 5 \times 4 \)
120
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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associative |
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commutative |
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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.