| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
Which of the following is not an integer?
-1 |
|
1 |
|
\({1 \over 2}\) |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is -6b3 x 4b3?
| -24b6 | |
| -2b9 | |
| -24b3 | |
| -2b3 |
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:
-6b3 x 4b3
(-6 x 4)b(3 + 3)
-24b6
What is \( \frac{-4c^7}{5c^4} \)?
| -\(\frac{4}{5}\)c1\(\frac{3}{4}\) | |
| -\(\frac{4}{5}\)c3 | |
| -1\(\frac{1}{4}\)c-3 | |
| -1\(\frac{1}{4}\)c11 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-4c^7}{5c^4} \)
\( \frac{-4}{5} \) c(7 - 4)
-\(\frac{4}{5}\)c3
How many 16-passenger vans will it take to drive all 46 members of the football team to an away game?
| 12 vans | |
| 3 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{46}{16} \) = 2\(\frac{7}{8}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.
The total water usage for a city is 45,000 gallons each day. Of that total, 28% is for personal use and 60% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 1,700 | |
| 1,300 | |
| 14,400 | |
| 7,200 |
60% of the water consumption is industrial use and 28% is personal use so (60% - 28%) = 32% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 45,000 gallons = 14,400 gallons.