| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
What is \( \frac{6\sqrt{28}}{2\sqrt{4}} \)?
| 7 \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{28}}{2\sqrt{4}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{28}{4}} \)
3 \( \sqrt{7} \)
What is the distance in miles of a trip that takes 3 hours at an average speed of 65 miles per hour?
| 110 miles | |
| 90 miles | |
| 195 miles | |
| 200 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 3h \)
195 miles
Find the average of the following numbers: 11, 7, 11, 7.
| 11 | |
| 12 | |
| 9 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 7 + 11 + 7}{4} \) = \( \frac{36}{4} \) = 9
What is \( \frac{2}{6} \) ÷ \( \frac{2}{5} \)?
| 5 | |
| \(\frac{5}{6}\) | |
| 1\(\frac{2}{3}\) | |
| \(\frac{2}{21}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{2}{5} \) = \( \frac{2}{6} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{5}{2} \) = \( \frac{2 x 5}{6 x 2} \) = \( \frac{10}{12} \) = \(\frac{5}{6}\)
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.