| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $35, how much money will he save?
| $5.25 | |
| $14.00 | |
| $1.75 | |
| $8.75 |
By buying two shirts, Damon will save $35 x \( \frac{15}{100} \) = \( \frac{$35 x 15}{100} \) = \( \frac{$525}{100} \) = $5.25 on the second shirt.
If a car travels 600 miles in 8 hours, what is the average speed?
| 50 mph | |
| 70 mph | |
| 45 mph | |
| 75 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{8}{4} \) - \( \frac{9}{10} \)?
| \( \frac{5}{12} \) | |
| 1\(\frac{1}{10}\) | |
| 1 \( \frac{3}{7} \) | |
| 1 \( \frac{9}{20} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 5}{4 x 5} \) - \( \frac{9 x 2}{10 x 2} \)
\( \frac{40}{20} \) - \( \frac{18}{20} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{40 - 18}{20} \) = \( \frac{22}{20} \) = 1\(\frac{1}{10}\)
What is \( \frac{3}{5} \) ÷ \( \frac{4}{5} \)?
| 3\(\frac{3}{4}\) | |
| \(\frac{1}{4}\) | |
| \(\frac{1}{36}\) | |
| \(\frac{3}{4}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{5} \) ÷ \( \frac{4}{5} \) = \( \frac{3}{5} \) x \( \frac{5}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{5}{4} \) = \( \frac{3 x 5}{5 x 4} \) = \( \frac{15}{20} \) = \(\frac{3}{4}\)
What is \( \sqrt{\frac{36}{16}} \)?
| \(\frac{3}{7}\) | |
| 1\(\frac{1}{2}\) | |
| 1 | |
| \(\frac{2}{3}\) |
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:
\( \sqrt{\frac{36}{16}} \)
\( \frac{\sqrt{36}}{\sqrt{16}} \)
\( \frac{\sqrt{6^2}}{\sqrt{4^2}} \)
\( \frac{6}{4} \)
1\(\frac{1}{2}\)