| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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absolute value |
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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 a car travels 360 miles in 8 hours, what is the average speed?
| 45 mph | |
| 15 mph | |
| 35 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( 5 \)\( \sqrt{125} \) + \( 4 \)\( \sqrt{5} \)
| 29\( \sqrt{5} \) | |
| 20\( \sqrt{125} \) | |
| 20\( \sqrt{25} \) | |
| 9\( \sqrt{5} \) |
To add these radicals together their radicands must be the same:
5\( \sqrt{125} \) + 4\( \sqrt{5} \)
5\( \sqrt{25 \times 5} \) + 4\( \sqrt{5} \)
5\( \sqrt{5^2 \times 5} \) + 4\( \sqrt{5} \)
(5)(5)\( \sqrt{5} \) + 4\( \sqrt{5} \)
25\( \sqrt{5} \) + 4\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
25\( \sqrt{5} \) + 4\( \sqrt{5} \)What is 4\( \sqrt{2} \) x 4\( \sqrt{3} \)?
| 16\( \sqrt{3} \) | |
| 16\( \sqrt{2} \) | |
| 16\( \sqrt{6} \) | |
| 16\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{2} \) x 4\( \sqrt{3} \)
(4 x 4)\( \sqrt{2 \times 3} \)
16\( \sqrt{6} \)
What is 3z3 + 8z3?
| 11z-6 | |
| 11z3 | |
| -5z-3 | |
| 5z-3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
3z3 + 8z3
(3 + 8)z3
11z3