| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
What is \( 8 \)\( \sqrt{27} \) + \( 8 \)\( \sqrt{3} \)
| 16\( \sqrt{81} \) | |
| 64\( \sqrt{3} \) | |
| 32\( \sqrt{3} \) | |
| 64\( \sqrt{9} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{27} \) + 8\( \sqrt{3} \)
8\( \sqrt{9 \times 3} \) + 8\( \sqrt{3} \)
8\( \sqrt{3^2 \times 3} \) + 8\( \sqrt{3} \)
(8)(3)\( \sqrt{3} \) + 8\( \sqrt{3} \)
24\( \sqrt{3} \) + 8\( \sqrt{3} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{3} \) + 8\( \sqrt{3} \)What is -9b2 - 3b2?
| -6b4 | |
| -12b-2 | |
| 12b-2 | |
| -12b2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-9b2 - 3b2
(-9 - 3)b2
-12b2
Find the average of the following numbers: 18, 12, 16, 14.
| 15 | |
| 3 | |
| 10 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{18 + 12 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15
What is \( \frac{4}{8} \) x \( \frac{2}{7} \)?
| \(\frac{1}{7}\) | |
| \(\frac{2}{27}\) | |
| \(\frac{1}{21}\) | |
| \(\frac{2}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{2}{7} \) = \( \frac{4 x 2}{8 x 7} \) = \( \frac{8}{56} \) = \(\frac{1}{7}\)
Which of these numbers is a factor of 20?
| 15 | |
| 9 | |
| 10 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.