| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
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commutative |
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associative |
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.
Simplify \( \sqrt{12} \)
| 4\( \sqrt{3} \) | |
| 3\( \sqrt{6} \) | |
| 6\( \sqrt{3} \) | |
| 2\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,500 | |
| 26,667 | |
| 30,000 | |
| 29,167 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
34,000 fans x \( \frac{3}{4} \) = \( \frac{102000}{4} \) = 25,500 fans.
Solve for \( \frac{4!}{2!} \)
| 12 | |
| \( \frac{1}{7} \) | |
| \( \frac{1}{20} \) | |
| \( \frac{1}{504} \) |
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:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12
Which of these numbers is a factor of 36?
| 37 | |
| 6 | |
| 33 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.