| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
What is \( 8 \)\( \sqrt{45} \) + \( 8 \)\( \sqrt{5} \)
| 16\( \sqrt{45} \) | |
| 64\( \sqrt{9} \) | |
| 16\( \sqrt{9} \) | |
| 32\( \sqrt{5} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{45} \) + 8\( \sqrt{5} \)
8\( \sqrt{9 \times 5} \) + 8\( \sqrt{5} \)
8\( \sqrt{3^2 \times 5} \) + 8\( \sqrt{5} \)
(8)(3)\( \sqrt{5} \) + 8\( \sqrt{5} \)
24\( \sqrt{5} \) + 8\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
24\( \sqrt{5} \) + 8\( \sqrt{5} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $40, how much money will he save?
| $20.00 | |
| $6.00 | |
| $10.00 | |
| $16.00 |
By buying two shirts, Monty will save $40 x \( \frac{50}{100} \) = \( \frac{$40 x 50}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.
What is -6a4 - 6a4?
| 16 | |
| -12a-4 | |
| -12a4 | |
| 4 |
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:
-6a4 - 6a4
(-6 - 6)a4
-12a4
16 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 4 | |
| 2 | |
| 9 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.
What is \( \frac{2}{6} \) x \( \frac{1}{5} \)?
| \(\frac{2}{21}\) | |
| \(\frac{4}{9}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{1}{15}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{1}{5} \) = \( \frac{2 x 1}{6 x 5} \) = \( \frac{2}{30} \) = \(\frac{1}{15}\)