| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common multiple |
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absolute value |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
If a car travels 80 miles in 2 hours, what is the average speed?
| 30 mph | |
| 40 mph | |
| 25 mph | |
| 45 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 \( 3 \)\( \sqrt{45} \) - \( 7 \)\( \sqrt{5} \)
| 21\( \sqrt{9} \) | |
| -4\( \sqrt{45} \) | |
| -4\( \sqrt{225} \) | |
| 2\( \sqrt{5} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{45} \) - 7\( \sqrt{5} \)
3\( \sqrt{9 \times 5} \) - 7\( \sqrt{5} \)
3\( \sqrt{3^2 \times 5} \) - 7\( \sqrt{5} \)
(3)(3)\( \sqrt{5} \) - 7\( \sqrt{5} \)
9\( \sqrt{5} \) - 7\( \sqrt{5} \)
Now that the radicands are identical, you can subtract them:
9\( \sqrt{5} \) - 7\( \sqrt{5} \)How many 2 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 8 | |
| 4 | |
| 2 | |
| 2 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{4 \text{ gallons}}{2 \text{ gallons}} \) = 2
Convert b-2 to remove the negative exponent.
| \( \frac{-1}{b^{-2}} \) | |
| \( \frac{2}{b} \) | |
| \( \frac{-2}{b} \) | |
| \( \frac{1}{b^2} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.