| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
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.
What is -y7 - 7y7?
| -8y-7 | |
| 6y7 | |
| -8y7 | |
| 6y14 |
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:
-1y7 - 7y7
(-1 - 7)y7
-8y7
Convert z-2 to remove the negative exponent.
| \( \frac{-2}{z} \) | |
| \( \frac{1}{z^2} \) | |
| \( \frac{-2}{-z} \) | |
| \( \frac{-1}{-2z^{2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is (a5)2?
| a10 | |
| a3 | |
| a7 | |
| 5a2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a5)2A triathlon course includes a 400m swim, a 30.5km bike ride, and a 5.9km run. What is the total length of the race course?
| 47.4km | |
| 55.9km | |
| 39.1km | |
| 36.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 30.5km + 5.9km
total distance = 36.8km