| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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absolute value |
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greatest common factor |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is 5\( \sqrt{8} \) x 2\( \sqrt{6} \)?
| 7\( \sqrt{48} \) | |
| 40\( \sqrt{3} \) | |
| 7\( \sqrt{6} \) | |
| 7\( \sqrt{8} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{8} \) x 2\( \sqrt{6} \)
(5 x 2)\( \sqrt{8 \times 6} \)
10\( \sqrt{48} \)
Now we need to simplify the radical:
10\( \sqrt{48} \)
10\( \sqrt{3 \times 16} \)
10\( \sqrt{3 \times 4^2} \)
(10)(4)\( \sqrt{3} \)
40\( \sqrt{3} \)
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 or a = -7 |
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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).
In a class of 21 students, 6 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 6 | |
| 16 | |
| 17 | |
| 13 |
The number of students taking German or Spanish is 6 + 13 = 19. Of that group of 19, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 19 - 4 = 15 who are taking at least one language. 21 - 15 = 6 students who are not taking either language.
Damon loaned Charlie $1,300 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $5 | |
| $12 | |
| $108 | |
| $13 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,300
i = 0.01 x $1,300
i = $13