| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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none of these is correct |
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a = 7 or a = -7 |
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a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is \( \frac{45\sqrt{35}}{9\sqrt{5}} \)?
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{5}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{5} \) | |
| 5 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{45\sqrt{35}}{9\sqrt{5}} \)
\( \frac{45}{9} \) \( \sqrt{\frac{35}{5}} \)
5 \( \sqrt{7} \)
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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absolute value |
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least common factor |
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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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Frank buys two shirts, each with a regular price of $48, how much money will he save?
| $16.80 | |
| $19.20 | |
| $2.40 | |
| $9.60 |
By buying two shirts, Frank will save $48 x \( \frac{20}{100} \) = \( \frac{$48 x 20}{100} \) = \( \frac{$960}{100} \) = $9.60 on the second shirt.
What is the least common multiple of 8 and 16?
| 64 | |
| 17 | |
| 16 | |
| 97 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 have in common.