| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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a = 7 |
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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 \( \frac{16\sqrt{10}}{8\sqrt{2}} \)?
| 2 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{2}} \) | |
| 5 \( \sqrt{\frac{1}{2}} \) | |
| 5 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{16\sqrt{10}}{8\sqrt{2}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{10}{2}} \)
2 \( \sqrt{5} \)
In a class of 21 students, 8 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 14 | |
| 17 | |
| 13 |
The number of students taking German or Spanish is 8 + 8 = 16. Of that group of 16, 5 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 16 - 5 = 11 who are taking at least one language. 21 - 11 = 10 students who are not taking either language.
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.
Which of the following is an improper fraction?
\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.