| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
Simplify \( \sqrt{20} \)
| 9\( \sqrt{5} \) | |
| 2\( \sqrt{5} \) | |
| 3\( \sqrt{10} \) | |
| 5\( \sqrt{10} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)
If a car travels 360 miles in 9 hours, what is the average speed?
| 55 mph | |
| 40 mph | |
| 30 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)13 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 6 | |
| 5 | |
| 7 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 13 people needing transportation leaving 13 - 8 = 5 who will have to find other transportation.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Alex buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
| $73.50 | |
| $80.85 | |
| $51.45 | |
| $31.85 |
By buying two shirts, Alex will save $49 x \( \frac{35}{100} \) = \( \frac{$49 x 35}{100} \) = \( \frac{$1715}{100} \) = $17.15 on the second shirt.
So, his total cost will be
$49.00 + ($49.00 - $17.15)
$49.00 + $31.85
$80.85
Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
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.