| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
What is the greatest common factor of 80 and 72?
| 44 | |
| 24 | |
| 11 | |
| 8 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 80 and 72 have in common.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is the distance in miles of a trip that takes 2 hours at an average speed of 30 miles per hour?
| 50 miles | |
| 300 miles | |
| 60 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 = \( 30mph \times 2h \)
60 miles
Convert a-2 to remove the negative exponent.
| \( \frac{1}{a^2} \) | |
| \( \frac{-1}{a^{-2}} \) | |
| \( \frac{-2}{-a} \) | |
| \( \frac{-2}{a} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \sqrt{\frac{9}{4}} \)?
| \(\frac{7}{8}\) | |
| 1\(\frac{1}{2}\) | |
| 1\(\frac{2}{5}\) | |
| \(\frac{5}{9}\) |
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:
\( \sqrt{\frac{9}{4}} \)
\( \frac{\sqrt{9}}{\sqrt{4}} \)
\( \frac{\sqrt{3^2}}{\sqrt{2^2}} \)
\( \frac{3}{2} \)
1\(\frac{1}{2}\)