| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
| 0.9 | |
| 1 | |
| 3.0 | |
| 2.1 |
1
What is 9\( \sqrt{8} \) x 8\( \sqrt{2} \)?
| 17\( \sqrt{16} \) | |
| 288 | |
| 17\( \sqrt{8} \) | |
| 72\( \sqrt{10} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{8} \) x 8\( \sqrt{2} \)
(9 x 8)\( \sqrt{8 \times 2} \)
72\( \sqrt{16} \)
Now we need to simplify the radical:
72\( \sqrt{16} \)
72\( \sqrt{4^2} \)
(72)(4)
288
What is \( \frac{15\sqrt{36}}{5\sqrt{9}} \)?
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{4}\) \( \sqrt{3} \) | |
| 4 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{4}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{15\sqrt{36}}{5\sqrt{9}} \)
\( \frac{15}{5} \) \( \sqrt{\frac{36}{9}} \)
3 \( \sqrt{4} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Frank buys two shirts, each with a regular price of $33, how much will he pay for both shirts?
| $44.55 | |
| $49.50 | |
| $16.50 | |
| $41.25 |
By buying two shirts, Frank will save $33 x \( \frac{50}{100} \) = \( \frac{$33 x 50}{100} \) = \( \frac{$1650}{100} \) = $16.50 on the second shirt.
So, his total cost will be
$33.00 + ($33.00 - $16.50)
$33.00 + $16.50
$49.50
A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
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improper fraction |
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mixed number |
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.