| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
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 Monty $1,200 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $12 | |
| $7 | |
| $96 | |
| $91 |
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 $1,200
i = 0.08 x $1,200
i = $96
What is \( 8 \)\( \sqrt{75} \) - \( 3 \)\( \sqrt{3} \)
| 5\( \sqrt{-16} \) | |
| 37\( \sqrt{3} \) | |
| 5\( \sqrt{75} \) | |
| 5\( \sqrt{25} \) |
To subtract these radicals together their radicands must be the same:
8\( \sqrt{75} \) - 3\( \sqrt{3} \)
8\( \sqrt{25 \times 3} \) - 3\( \sqrt{3} \)
8\( \sqrt{5^2 \times 3} \) - 3\( \sqrt{3} \)
(8)(5)\( \sqrt{3} \) - 3\( \sqrt{3} \)
40\( \sqrt{3} \) - 3\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
40\( \sqrt{3} \) - 3\( \sqrt{3} \)A triathlon course includes a 400m swim, a 30.4km bike ride, and a 14.8km run. What is the total length of the race course?
| 50.4km | |
| 42.2km | |
| 40.4km | |
| 45.6km |
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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 30.4km + 14.8km
total distance = 45.6km