| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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a = 7 or a = -7 |
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none of these is correct |
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 \( \frac{8}{4} \) - \( \frac{3}{12} \)?
| 1\(\frac{3}{4}\) | |
| \( \frac{2}{12} \) | |
| \( \frac{9}{15} \) | |
| 1 \( \frac{7}{15} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] 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 4 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 3}{4 x 3} \) - \( \frac{3 x 1}{12 x 1} \)
\( \frac{24}{12} \) - \( \frac{3}{12} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{24 - 3}{12} \) = \( \frac{21}{12} \) = 1\(\frac{3}{4}\)
Which of these numbers is a factor of 64?
| 20 | |
| 16 | |
| 5 | |
| 64 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Monty buys two shirts, each with a regular price of $12, how much money will he save?
| $0.60 | |
| $1.80 | |
| $2.40 | |
| $5.40 |
By buying two shirts, Monty will save $12 x \( \frac{20}{100} \) = \( \frac{$12 x 20}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.
The __________ is the greatest factor that divides two integers.
greatest common factor |
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least common multiple |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.