| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Simplify \( \sqrt{48} \)
| 2\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 4\( \sqrt{6} \) | |
| 8\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)
What is \( 2 \)\( \sqrt{112} \) + \( 8 \)\( \sqrt{7} \)
| 16\( \sqrt{784} \) | |
| 10\( \sqrt{784} \) | |
| 10\( \sqrt{16} \) | |
| 16\( \sqrt{7} \) |
To add these radicals together their radicands must be the same:
2\( \sqrt{112} \) + 8\( \sqrt{7} \)
2\( \sqrt{16 \times 7} \) + 8\( \sqrt{7} \)
2\( \sqrt{4^2 \times 7} \) + 8\( \sqrt{7} \)
(2)(4)\( \sqrt{7} \) + 8\( \sqrt{7} \)
8\( \sqrt{7} \) + 8\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{7} \) + 8\( \sqrt{7} \)Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
-1 |
|
0 |
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 \( \frac{2}{6} \) ÷ \( \frac{3}{7} \)?
| \(\frac{9}{35}\) | |
| \(\frac{7}{9}\) | |
| 4\(\frac{2}{3}\) | |
| \(\frac{4}{21}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{3}{7} \) = \( \frac{2}{6} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{7}{3} \) = \( \frac{2 x 7}{6 x 3} \) = \( \frac{14}{18} \) = \(\frac{7}{9}\)
If there were a total of 150 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 2% | |
| 5% | |
| 15% |
You have 7 out of the total of 150 raffle tickets sold so you have a (\( \frac{7}{150} \)) x 100 = \( \frac{7 \times 100}{150} \) = \( \frac{700}{150} \) = 5% chance to win the raffle.