| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
What is \( 6 \)\( \sqrt{112} \) - \( 7 \)\( \sqrt{7} \)
| 17\( \sqrt{7} \) | |
| -1\( \sqrt{112} \) | |
| -1\( \sqrt{33} \) | |
| -1\( \sqrt{7} \) |
To subtract these radicals together their radicands must be the same:
6\( \sqrt{112} \) - 7\( \sqrt{7} \)
6\( \sqrt{16 \times 7} \) - 7\( \sqrt{7} \)
6\( \sqrt{4^2 \times 7} \) - 7\( \sqrt{7} \)
(6)(4)\( \sqrt{7} \) - 7\( \sqrt{7} \)
24\( \sqrt{7} \) - 7\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
24\( \sqrt{7} \) - 7\( \sqrt{7} \)A triathlon course includes a 300m swim, a 50.1km bike ride, and a 7.5km run. What is the total length of the race course?
| 25.7km | |
| 57.9km | |
| 24.9km | |
| 63.1km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 50.1km + 7.5km
total distance = 57.9km
Which of the following is not a prime number?
2 |
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5 |
|
9 |
|
7 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \sqrt{\frac{64}{81}} \)?
| 1\(\frac{2}{5}\) | |
| \(\frac{3}{5}\) | |
| 1\(\frac{1}{5}\) | |
| \(\frac{8}{9}\) |
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:
\( \sqrt{\frac{64}{81}} \)
\( \frac{\sqrt{64}}{\sqrt{81}} \)
\( \frac{\sqrt{8^2}}{\sqrt{9^2}} \)
\(\frac{8}{9}\)