| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Simplify \( \sqrt{18} \)
| 2\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| 3\( \sqrt{2} \) | |
| 9\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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associative |
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PEDMAS |
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.
What is \( \frac{2}{7} \) x \( \frac{2}{5} \)?
| \(\frac{1}{15}\) | |
| \(\frac{4}{35}\) | |
| \(\frac{1}{45}\) | |
| \(\frac{2}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{2}{5} \) = \( \frac{2 x 2}{7 x 5} \) = \( \frac{4}{35} \) = \(\frac{4}{35}\)
A tiger in a zoo has consumed 56 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 126 pounds?
| 5 | |
| 4 | |
| 52 | |
| 55 |
If the tiger has consumed 56 pounds of food in 4 days that's \( \frac{56}{4} \) = 14 pounds of food per day. The tiger needs to consume 126 - 56 = 70 more pounds of food to reach 126 pounds total. At 14 pounds of food per day that's \( \frac{70}{14} \) = 5 more days.
Which of these numbers is a factor of 32?
| 12 | |
| 8 | |
| 29 | |
| 15 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.