| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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absolute value |
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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.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
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distributive property for multiplication |
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distributive property for division |
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commutative property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
Which of these numbers is a factor of 72?
| 12 | |
| 40 | |
| 4 | |
| 48 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
What is \( \frac{6y^5}{2y^4} \)?
| \(\frac{1}{3}\)y9 | |
| 3y | |
| 3y-1 | |
| \(\frac{1}{3}\)y |
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:
\( \frac{6y^5}{2y^4} \)
\( \frac{6}{2} \) y(5 - 4)
3y
Simplify \( \sqrt{20} \)
| 6\( \sqrt{10} \) | |
| 4\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) | |
| 7\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)