| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Solve 2 + (2 + 2) ÷ 2 x 2 - 22
| 2 | |
| \(\frac{3}{8}\) | |
| \(\frac{1}{2}\) | |
| 1 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (2 + 2) ÷ 2 x 2 - 22
P: 2 + (4) ÷ 2 x 2 - 22
E: 2 + 4 ÷ 2 x 2 - 4
MD: 2 + \( \frac{4}{2} \) x 2 - 4
MD: 2 + \( \frac{8}{2} \) - 4
AS: \( \frac{4}{2} \) + \( \frac{8}{2} \) - 4
AS: \( \frac{12}{2} \) - 4
AS: \( \frac{12 - 8}{2} \)
\( \frac{4}{2} \)
2
Convert c-4 to remove the negative exponent.
| \( \frac{-1}{-4c^{4}} \) | |
| \( \frac{-4}{c} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{1}{c^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is -7b5 + 9b5?
| -16b5 | |
| 2b25 | |
| 2b5 | |
| 16b-5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-7b5 + 9b5
(-7 + 9)b5
2b5
The total water usage for a city is 15,000 gallons each day. Of that total, 24% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 2,700 | |
| 11,900 | |
| 1,750 | |
| 6,750 |
42% of the water consumption is industrial use and 24% is personal use so (42% - 24%) = 18% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{18}{100} \) x 15,000 gallons = 2,700 gallons.
A triathlon course includes a 100m swim, a 40.8km bike ride, and a 11.5km run. What is the total length of the race course?
| 52.4km | |
| 64.8km | |
| 26.1km | |
| 29.7km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.8km + 11.5km
total distance = 52.4km