| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
absolute value |
|
greatest common factor |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
How many hours does it take a car to travel 220 miles at an average speed of 55 miles per hour?
| 6 hours | |
| 3 hours | |
| 5 hours | |
| 4 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{220mi}{55mph} \)
4 hours
What is \( \sqrt{\frac{49}{81}} \)?
| \(\frac{7}{9}\) | |
| 1\(\frac{1}{2}\) | |
| 1 | |
| \(\frac{1}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{81}} \)
\( \frac{\sqrt{49}}{\sqrt{81}} \)
\( \frac{\sqrt{7^2}}{\sqrt{9^2}} \)
\(\frac{7}{9}\)
What is \( 7 \)\( \sqrt{18} \) + \( 5 \)\( \sqrt{2} \)
| 35\( \sqrt{9} \) | |
| 26\( \sqrt{2} \) | |
| 12\( \sqrt{2} \) | |
| 35\( \sqrt{18} \) |
To add these radicals together their radicands must be the same:
7\( \sqrt{18} \) + 5\( \sqrt{2} \)
7\( \sqrt{9 \times 2} \) + 5\( \sqrt{2} \)
7\( \sqrt{3^2 \times 2} \) + 5\( \sqrt{2} \)
(7)(3)\( \sqrt{2} \) + 5\( \sqrt{2} \)
21\( \sqrt{2} \) + 5\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
21\( \sqrt{2} \) + 5\( \sqrt{2} \)How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 8 | |
| 7 | |
| 2 | |
| 3 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3