| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Which of the following is not an integer?
-1 |
|
1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Damon loaned Latoya $100 at an annual interest rate of 9%. If no payments are made, what is the total amount owed at the end of the first year?
| $109 | |
| $101 | |
| $103 | |
| $107 |
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 $100
i = 0.09 x $100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $100 + $9If a rectangle is twice as long as it is wide and has a perimeter of 36 meters, what is the area of the rectangle?
| 98 m2 | |
| 50 m2 | |
| 72 m2 | |
| 32 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.
Putting these two equations together and solving for width (w):
2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6
Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m2
A triathlon course includes a 200m swim, a 50.6km bike ride, and a 8.0km run. What is the total length of the race course?
| 48.9km | |
| 63km | |
| 47km | |
| 58.8km |
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 + 50.6km + 8.0km
total distance = 58.8km