| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
How many hours does it take a car to travel 50 miles at an average speed of 50 miles per hour?
| 1 hour | |
| 8 hours | |
| 9 hours | |
| 7 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 = \( \frac{50mi}{50mph} \)
1 hour
What is \( \frac{18\sqrt{28}}{6\sqrt{7}} \)?
| 4 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \) | |
| 3 \( \sqrt{4} \) | |
| \(\frac{1}{3}\) \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{18\sqrt{28}}{6\sqrt{7}} \)
\( \frac{18}{6} \) \( \sqrt{\frac{28}{7}} \)
3 \( \sqrt{4} \)
What is 4a4 x 3a6?
| 12a10 | |
| 12a24 | |
| 7a10 | |
| 12a6 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4a4 x 3a6
(4 x 3)a(4 + 6)
12a10
A bread recipe calls for 3 cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 2\(\frac{3}{4}\) cups |
The amount of flour you need is (3 - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{24}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups