| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is \( \frac{8}{4} \) - \( \frac{8}{6} \)?
| 1 \( \frac{5}{12} \) | |
| \( \frac{9}{17} \) | |
| \( \frac{1}{7} \) | |
| \(\frac{2}{3}\) |
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 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 3}{4 x 3} \) - \( \frac{8 x 2}{6 x 2} \)
\( \frac{24}{12} \) - \( \frac{16}{12} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{24 - 16}{12} \) = \( \frac{8}{12} \) = \(\frac{2}{3}\)
Which of the following is not an integer?
1 |
|
-1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $34, how much money will he save?
| $17.00 | |
| $13.60 | |
| $10.20 | |
| $6.80 |
By buying two shirts, Bob will save $34 x \( \frac{30}{100} \) = \( \frac{$34 x 30}{100} \) = \( \frac{$1020}{100} \) = $10.20 on the second shirt.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = -7 |
|
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).
| 1.8 | |
| 3.5 | |
| 5.4 | |
| 1 |
1