| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
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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.
What is \( \frac{9\sqrt{32}}{3\sqrt{8}} \)?
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \) | |
| 3 \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{9\sqrt{32}}{3\sqrt{8}} \)
\( \frac{9}{3} \) \( \sqrt{\frac{32}{8}} \)
3 \( \sqrt{4} \)
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is 3\( \sqrt{6} \) x 7\( \sqrt{6} \)?
| 10\( \sqrt{36} \) | |
| 21\( \sqrt{6} \) | |
| 10\( \sqrt{6} \) | |
| 126 |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{6} \) x 7\( \sqrt{6} \)
(3 x 7)\( \sqrt{6 \times 6} \)
21\( \sqrt{36} \)
Now we need to simplify the radical:
21\( \sqrt{36} \)
21\( \sqrt{6^2} \)
(21)(6)
126
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $30, how much will he pay for both shirts?
| $31.50 | |
| $55.50 | |
| $36.00 | |
| $25.50 |
By buying two shirts, Frank will save $30 x \( \frac{15}{100} \) = \( \frac{$30 x 15}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.
So, his total cost will be
$30.00 + ($30.00 - $4.50)
$30.00 + $25.50
$55.50