| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.86 |
| Score | 0% | 77% |
What is \( \frac{21\sqrt{35}}{7\sqrt{5}} \)?
| 7 \( \sqrt{3} \) | |
| \(\frac{1}{7}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{21\sqrt{35}}{7\sqrt{5}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{35}{5}} \)
3 \( \sqrt{7} \)
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Charlie loaned Alex $300 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $13 | |
| $27 | |
| $20 | |
| $24 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $300
i = 0.09 x $300
i = $27
4! = ?
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If a car travels 100 miles in 2 hours, what is the average speed?
| 50 mph | |
| 70 mph | |
| 25 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)