| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $17, how much money will he save?
| $5.10 | |
| $7.65 | |
| $4.25 | |
| $8.50 |
By buying two shirts, Charlie will save $17 x \( \frac{50}{100} \) = \( \frac{$17 x 50}{100} \) = \( \frac{$850}{100} \) = $8.50 on the second shirt.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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absolute value |
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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.
\({b + c \over a} = {b \over a} + {c \over a}\) 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
The __________ is the greatest factor that divides two integers.
absolute value |
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greatest common multiple |
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least common multiple |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{3}{7} \) ÷ \( \frac{2}{6} \)?
| \(\frac{1}{12}\) | |
| \(\frac{1}{18}\) | |
| 1\(\frac{2}{7}\) | |
| \(\frac{3}{20}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{2}{6} \) = \( \frac{3}{7} \) x \( \frac{6}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{6}{2} \) = \( \frac{3 x 6}{7 x 2} \) = \( \frac{18}{14} \) = 1\(\frac{2}{7}\)