| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 2\(\frac{3}{8}\) cups | |
| \(\frac{1}{2}\) cups | |
| \(\frac{3}{8}\) cups | |
| 1\(\frac{3}{8}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{3}{8} \) cups
\(\frac{3}{8}\) cups
Simplify \( \sqrt{63} \)
| 3\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 5\( \sqrt{14} \) | |
| 9\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
Which of the following is a mixed number?
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
Which of these numbers is a factor of 48?
| 15 | |
| 48 | |
| 23 | |
| 43 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
If a car travels 75 miles in 3 hours, what is the average speed?
| 70 mph | |
| 25 mph | |
| 60 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)