| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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greatest common factor |
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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.
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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none of these is correct |
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a = 7 or 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).
A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have \(\frac{7}{8}\) cup, how much more flour is needed?
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3\(\frac{5}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{2}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{28}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
What is 5\( \sqrt{7} \) x 2\( \sqrt{8} \)?
| 10\( \sqrt{15} \) | |
| 10\( \sqrt{8} \) | |
| 7\( \sqrt{8} \) | |
| 20\( \sqrt{14} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{7} \) x 2\( \sqrt{8} \)
(5 x 2)\( \sqrt{7 \times 8} \)
10\( \sqrt{56} \)
Now we need to simplify the radical:
10\( \sqrt{56} \)
10\( \sqrt{14 \times 4} \)
10\( \sqrt{14 \times 2^2} \)
(10)(2)\( \sqrt{14} \)
20\( \sqrt{14} \)
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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fraction |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.