| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 9 | |
| 6 | |
| 7 | |
| 3 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
Which of the following is not a prime number?
7 |
|
2 |
|
5 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Roger buys two shirts, each with a regular price of $20, how much will he pay for both shirts?
| $39.00 | |
| $22.00 | |
| $1.00 | |
| $30.00 |
By buying two shirts, Roger will save $20 x \( \frac{5}{100} \) = \( \frac{$20 x 5}{100} \) = \( \frac{$100}{100} \) = $1.00 on the second shirt.
So, his total cost will be
$20.00 + ($20.00 - $1.00)
$20.00 + $19.00
$39.00
What is \( \frac{25\sqrt{21}}{5\sqrt{3}} \)?
| \(\frac{1}{7}\) \( \sqrt{5} \) | |
| 7 \( \sqrt{5} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{25\sqrt{21}}{5\sqrt{3}} \)
\( \frac{25}{5} \) \( \sqrt{\frac{21}{3}} \)
5 \( \sqrt{7} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
associative |
|
PEDMAS |
|
commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.