| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is the greatest common factor of 76 and 76?
| 61 | |
| 14 | |
| 76 | |
| 44 |
The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 6 factors [1, 2, 4, 19, 38, 76] making 76 the greatest factor 76 and 76 have in common.
Which of these numbers is a factor of 24?
| 12 | |
| 9 | |
| 7 | |
| 20 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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distributive property for multiplication |
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commutative property for multiplication |
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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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
What is \( \frac{-9z^7}{6z^4} \)?
| -1\(\frac{1}{2}\)z3 | |
| -1\(\frac{1}{2}\)z1\(\frac{3}{4}\) | |
| -1\(\frac{1}{2}\)z\(\frac{4}{7}\) | |
| -\(\frac{2}{3}\)z11 |
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:
\( \frac{-9z^7}{6z^4} \)
\( \frac{-9}{6} \) z(7 - 4)
-1\(\frac{1}{2}\)z3
| 5.6 | |
| 0.2 | |
| 1 | |
| 0.6 |
1