| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is the least common multiple of 6 and 12?
| 24 | |
| 65 | |
| 10 | |
| 12 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 have in common.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
|
commutative property for division |
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commutative property for multiplication |
|
distributive 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $48, how much will he pay for both shirts?
| $74.40 | |
| $21.60 | |
| $57.60 | |
| $60.00 |
By buying two shirts, Bob will save $48 x \( \frac{45}{100} \) = \( \frac{$48 x 45}{100} \) = \( \frac{$2160}{100} \) = $21.60 on the second shirt.
So, his total cost will be
$48.00 + ($48.00 - $21.60)
$48.00 + $26.40
$74.40
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common multiple |
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greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Frank loaned Alex $200 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $63 | |
| $36 | |
| $24 | |
| $12 |
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 = 0.06 x $200
i = $12