| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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greatest common factor |
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absolute value |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is (z4)3?
| 3z4 | |
| 4z3 | |
| z | |
| z12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)3If a car travels 585 miles in 9 hours, what is the average speed?
| 35 mph | |
| 50 mph | |
| 65 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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none of these is correct |
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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, 12 are taking German and 5 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 7 | |
| 20 | |
| 12 | |
| 15 |
The number of students taking German or Spanish is 12 + 5 = 17. Of that group of 17, 3 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 17 - 3 = 14 who are taking at least one language. 21 - 14 = 7 students who are not taking either language.