| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is (y5)3?
| y2 | |
| y8 | |
| y-2 | |
| y15 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)3What is \( \frac{-5c^7}{9c^4} \)?
| -\(\frac{5}{9}\)c3 | |
| -1\(\frac{4}{5}\)c3 | |
| -\(\frac{5}{9}\)c1\(\frac{3}{4}\) | |
| -\(\frac{5}{9}\)c-3 |
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:
\( \frac{-5c^7}{9c^4} \)
\( \frac{-5}{9} \) c(7 - 4)
-\(\frac{5}{9}\)c3
If a car travels 315 miles in 9 hours, what is the average speed?
| 25 mph | |
| 35 mph | |
| 45 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for division |
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distributive property for division |
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distributive property for multiplication |
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commutative property for multiplication |
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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).