| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is 4\( \sqrt{6} \) x 2\( \sqrt{5} \)?
| 6\( \sqrt{5} \) | |
| 8\( \sqrt{5} \) | |
| 8\( \sqrt{30} \) | |
| 8\( \sqrt{11} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{6} \) x 2\( \sqrt{5} \)
(4 x 2)\( \sqrt{6 \times 5} \)
8\( \sqrt{30} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $11, how much money will he save?
| $1.10 | |
| $5.50 | |
| $3.85 | |
| $4.95 |
By buying two shirts, Frank will save $11 x \( \frac{10}{100} \) = \( \frac{$11 x 10}{100} \) = \( \frac{$110}{100} \) = $1.10 on the second shirt.
What is \( \frac{3}{9} \) ÷ \( \frac{1}{6} \)?
| \(\frac{4}{49}\) | |
| \(\frac{3}{28}\) | |
| 2 | |
| \(\frac{1}{28}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{9} \) ÷ \( \frac{1}{6} \) = \( \frac{3}{9} \) x \( \frac{6}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{6}{1} \) = \( \frac{3 x 6}{9 x 1} \) = \( \frac{18}{9} \) = 2
Which of the following is a mixed number?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Simplify \( \sqrt{8} \)
| 8\( \sqrt{4} \) | |
| 7\( \sqrt{2} \) | |
| 2\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)