| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If \( \left|c - 1\right| \) + 5 = -8, which of these is a possible value for c?
| -2 | |
| 0 | |
| 14 | |
| 6 |
First, solve for \( \left|c - 1\right| \):
\( \left|c - 1\right| \) + 5 = -8
\( \left|c - 1\right| \) = -8 - 5
\( \left|c - 1\right| \) = -13
The value inside the absolute value brackets can be either positive or negative so (c - 1) must equal - 13 or --13 for \( \left|c - 1\right| \) to equal -13:
| c - 1 = -13 c = -13 + 1 c = -12 | c - 1 = 13 c = 13 + 1 c = 14 |
So, c = 14 or c = -12.
Solve for \( \frac{3!}{4!} \)
| \( \frac{1}{4} \) | |
| \( \frac{1}{6} \) | |
| \( \frac{1}{60480} \) | |
| 840 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)
If a car travels 210 miles in 6 hours, what is the average speed?
| 35 mph | |
| 50 mph | |
| 40 mph | |
| 25 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is -6z3 - 7z3?
| z-6 | |
| 13z-3 | |
| -13z3 | |
| z9 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-6z3 - 7z3
(-6 - 7)z3
-13z3