| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1 cups |
The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
What is -3c6 - 9c6?
| 6c12 | |
| -12c6 | |
| -12c-6 | |
| 12c-6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-3c6 - 9c6
(-3 - 9)c6
-12c6
How many hours does it take a car to travel 120 miles at an average speed of 40 miles per hour?
| 8 hours | |
| 3 hours | |
| 1 hour | |
| 2 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{120mi}{40mph} \)
3 hours
Roger loaned Charlie $900 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $45 | |
| $27 | |
| $63 | |
| $7 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $900
i = 0.05 x $900
i = $45
What is the least common multiple of 2 and 6?
| 1 | |
| 6 | |
| 4 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.