| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.75 |
| Score | 0% | 75% |
What is 5c6 - 3c6?
| 8c12 | |
| 8c36 | |
| 2c6 | |
| -2c-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:
5c6 - 3c6
(5 - 3)c6
2c6
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.
If a car travels 525 miles in 7 hours, what is the average speed?
| 75 mph | |
| 15 mph | |
| 45 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)If the ratio of home fans to visiting fans in a crowd is 5:1 and all 33,000 seats in a stadium are filled, how many home fans are in attendance?
| 36,667 | |
| 27,500 | |
| 33,750 | |
| 40,833 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
33,000 fans x \( \frac{5}{6} \) = \( \frac{165000}{6} \) = 27,500 fans.
How many hours does it take a car to travel 160 miles at an average speed of 40 miles per hour?
| 3 hours | |
| 4 hours | |
| 5 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 = \( \frac{160mi}{40mph} \)
4 hours