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|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
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A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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fraction |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is \( \frac{6\sqrt{6}}{2\sqrt{2}} \)?
| 3 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{6}}{2\sqrt{2}} \)
\( \frac{6}{2} \) \( \sqrt{\frac{6}{2}} \)
3 \( \sqrt{3} \)
If \( \left|b + 0\right| \) - 9 = 7, which of these is a possible value for b?
| -16 | |
| -5 | |
| 9 | |
| -6 |
First, solve for \( \left|b + 0\right| \):
\( \left|b + 0\right| \) - 9 = 7
\( \left|b + 0\right| \) = 7 + 9
\( \left|b + 0\right| \) = 16
The value inside the absolute value brackets can be either positive or negative so (b + 0) must equal + 16 or -16 for \( \left|b + 0\right| \) to equal 16:
| b + 0 = 16 b = 16 + 0 b = 16 | b + 0 = -16 b = -16 + 0 b = -16 |
So, b = -16 or b = 16.
What is -5c3 x 6c5?
| -30c8 | |
| -30c-2 | |
| c3 | |
| -30c2 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-5c3 x 6c5
(-5 x 6)c(3 + 5)
-30c8
A tiger in a zoo has consumed 42 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 63 pounds?
| 3 | |
| 9 | |
| 6 | |
| 4 |
If the tiger has consumed 42 pounds of food in 6 days that's \( \frac{42}{6} \) = 7 pounds of food per day. The tiger needs to consume 63 - 42 = 21 more pounds of food to reach 63 pounds total. At 7 pounds of food per day that's \( \frac{21}{7} \) = 3 more days.