| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Bob buys two shirts, each with a regular price of $12, how much money will he save?
| $3.60 | |
| $4.80 | |
| $1.20 | |
| $3.00 |
By buying two shirts, Bob will save $12 x \( \frac{10}{100} \) = \( \frac{$12 x 10}{100} \) = \( \frac{$120}{100} \) = $1.20 on the second shirt.
What is \( \frac{3}{8} \) x \( \frac{2}{6} \)?
| \(\frac{1}{15}\) | |
| \(\frac{2}{27}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{1}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{2}{6} \) = \( \frac{3 x 2}{8 x 6} \) = \( \frac{6}{48} \) = \(\frac{1}{8}\)
What is 4\( \sqrt{3} \) x 5\( \sqrt{6} \)?
| 9\( \sqrt{3} \) | |
| 60\( \sqrt{2} \) | |
| 20\( \sqrt{9} \) | |
| 20\( \sqrt{3} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{3} \) x 5\( \sqrt{6} \)
(4 x 5)\( \sqrt{3 \times 6} \)
20\( \sqrt{18} \)
Now we need to simplify the radical:
20\( \sqrt{18} \)
20\( \sqrt{2 \times 9} \)
20\( \sqrt{2 \times 3^2} \)
(20)(3)\( \sqrt{2} \)
60\( \sqrt{2} \)
What is \( \sqrt{\frac{9}{64}} \)?
| 1\(\frac{1}{2}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{3}{8}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 13 | |
| 24 | |
| 21 | |
| 14 |
The equation for this sequence is:
an = an-1 + 4
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4
a6 = 17 + 4
a6 = 21