| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
The __________ is the greatest factor that divides two integers.
greatest common factor |
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least common multiple |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Convert b-5 to remove the negative exponent.
| \( \frac{-5}{-b} \) | |
| \( \frac{1}{b^5} \) | |
| \( \frac{-5}{b} \) | |
| \( \frac{-1}{-5b^{5}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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distributive |
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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.
What is 2\( \sqrt{4} \) x 7\( \sqrt{2} \)?
| 9\( \sqrt{4} \) | |
| 9\( \sqrt{2} \) | |
| 28\( \sqrt{2} \) | |
| 14\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
2\( \sqrt{4} \) x 7\( \sqrt{2} \)
(2 x 7)\( \sqrt{4 \times 2} \)
14\( \sqrt{8} \)
Now we need to simplify the radical:
14\( \sqrt{8} \)
14\( \sqrt{2 \times 4} \)
14\( \sqrt{2 \times 2^2} \)
(14)(2)\( \sqrt{2} \)
28\( \sqrt{2} \)
A tiger in a zoo has consumed 91 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 156 pounds?
| 11 | |
| 5 | |
| 7 | |
| 3 |
If the tiger has consumed 91 pounds of food in 7 days that's \( \frac{91}{7} \) = 13 pounds of food per day. The tiger needs to consume 156 - 91 = 65 more pounds of food to reach 156 pounds total. At 13 pounds of food per day that's \( \frac{65}{13} \) = 5 more days.