| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The __________ is the greatest factor that divides two integers.
least common multiple |
|
absolute value |
|
greatest common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| \(\frac{3}{8}\) cups | |
| \(\frac{1}{4}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{8}\) cups |
The amount of flour you need is (2 - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{2}{8} \) cups
\(\frac{1}{4}\) cups
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
none of these is correct |
|
a = 7 or a = -7 |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
What is \( \sqrt{\frac{81}{9}} \)?
| 1 | |
| 1\(\frac{1}{2}\) | |
| 1\(\frac{2}{7}\) | |
| 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:
\( \sqrt{\frac{81}{9}} \)
\( \frac{\sqrt{81}}{\sqrt{9}} \)
\( \frac{\sqrt{9^2}}{\sqrt{3^2}} \)
\( \frac{9}{3} \)
3
A triathlon course includes a 200m swim, a 40.1km bike ride, and a 11.7km run. What is the total length of the race course?
| 25km | |
| 52km | |
| 47.2km | |
| 33.7km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 40.1km + 11.7km
total distance = 52km