| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| 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.
If a car travels 600 miles in 8 hours, what is the average speed?
| 75 mph | |
| 30 mph | |
| 20 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
3 x 2 x 1 |
|
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 rectangle is twice as long as it is wide and has a perimeter of 6 meters, what is the area of the rectangle?
| 2 m2 | |
| 8 m2 | |
| 32 m2 | |
| 128 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 6 meters so the equation becomes: 2w + 2h = 6.
Putting these two equations together and solving for width (w):
2w + 2h = 6
w + h = \( \frac{6}{2} \)
w + h = 3
w = 3 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 3 - 2w
3w = 3
w = \( \frac{3}{3} \)
w = 1
Since h = 2w that makes h = (2 x 1) = 2 and the area = h x w = 1 x 2 = 2 m2
Solve 2 + (4 + 4) ÷ 2 x 5 - 42
| \(\frac{8}{9}\) | |
| 2\(\frac{2}{3}\) | |
| 6 | |
| \(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (4 + 4) ÷ 2 x 5 - 42
P: 2 + (8) ÷ 2 x 5 - 42
E: 2 + 8 ÷ 2 x 5 - 16
MD: 2 + \( \frac{8}{2} \) x 5 - 16
MD: 2 + \( \frac{40}{2} \) - 16
AS: \( \frac{4}{2} \) + \( \frac{40}{2} \) - 16
AS: \( \frac{44}{2} \) - 16
AS: \( \frac{44 - 32}{2} \)
\( \frac{12}{2} \)
6