| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
4! = ?
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
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.
How many hours does it take a car to travel 120 miles at an average speed of 40 miles per hour?
| 1 hour | |
| 3 hours | |
| 4 hours | |
| 2 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{120mi}{40mph} \)
3 hours
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Ezra buys two shirts, each with a regular price of $15, how much will he pay for both shirts?
| $9.75 | |
| $24.75 | |
| $5.25 | |
| $18.00 |
By buying two shirts, Ezra will save $15 x \( \frac{35}{100} \) = \( \frac{$15 x 35}{100} \) = \( \frac{$525}{100} \) = $5.25 on the second shirt.
So, his total cost will be
$15.00 + ($15.00 - $5.25)
$15.00 + $9.75
$24.75
Solve for \( \frac{2!}{3!} \)
| 1680 | |
| \( \frac{1}{840} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{1}{56} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{3!} \)
\( \frac{2 \times 1}{3 \times 2 \times 1} \)
\( \frac{1}{3} \)
\( \frac{1}{3} \)
Solve 4 + (2 + 3) ÷ 4 x 4 - 52
| 1\(\frac{1}{8}\) | |
| 1\(\frac{1}{7}\) | |
| 1\(\frac{1}{3}\) | |
| -16 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (2 + 3) ÷ 4 x 4 - 52
P: 4 + (5) ÷ 4 x 4 - 52
E: 4 + 5 ÷ 4 x 4 - 25
MD: 4 + \( \frac{5}{4} \) x 4 - 25
MD: 4 + \( \frac{20}{4} \) - 25
AS: \( \frac{16}{4} \) + \( \frac{20}{4} \) - 25
AS: \( \frac{36}{4} \) - 25
AS: \( \frac{36 - 100}{4} \)
\( \frac{-64}{4} \)
-16