| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
Simplify \( \sqrt{12} \)
| 2\( \sqrt{3} \) | |
| 5\( \sqrt{3} \) | |
| 6\( \sqrt{6} \) | |
| 5\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 6 | |
| 4 | |
| 2 | |
| 2 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Alex buys two shirts, each with a regular price of $30, how much will he pay for both shirts?
| $18.00 | |
| $45.00 | |
| $48.00 | |
| $12.00 |
By buying two shirts, Alex will save $30 x \( \frac{40}{100} \) = \( \frac{$30 x 40}{100} \) = \( \frac{$1200}{100} \) = $12.00 on the second shirt.
So, his total cost will be
$30.00 + ($30.00 - $12.00)
$30.00 + $18.00
$48.00
Which of the following is not a prime number?
9 |
|
5 |
|
7 |
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2 |
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(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
|
commutative property for division |
|
distributive property for division |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.