| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
What is \( \sqrt{\frac{25}{16}} \)?
| \(\frac{2}{5}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{7}{8}\) | |
| 1\(\frac{1}{4}\) |
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:
\( \sqrt{\frac{25}{16}} \)
\( \frac{\sqrt{25}}{\sqrt{16}} \)
\( \frac{\sqrt{5^2}}{\sqrt{4^2}} \)
\( \frac{5}{4} \)
1\(\frac{1}{4}\)
What is the distance in miles of a trip that takes 1 hour at an average speed of 45 miles per hour?
| 280 miles | |
| 375 miles | |
| 420 miles | |
| 45 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 = \( 45mph \times 1h \)
45 miles
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 12 gallon tank to fill it exactly halfway?
| 4 | |
| 8 | |
| 3 | |
| 7 |
To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{6 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 4
Simplify \( \sqrt{8} \)
| 9\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) | |
| 2\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
Which of the following is not a prime number?
9 |
|
2 |
|
5 |
|
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.