| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
11 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 4 | |
| 3 | |
| 1 |
There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 who will have to find other transportation.
4! = ?
4 x 3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
commutative |
|
associative |
|
distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is 6b2 - 3b2?
| 9b4 | |
| 9b2 | |
| 3b2 | |
| -3b-2 |
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:
6b2 - 3b2
(6 - 3)b2
3b2
The total water usage for a city is 15,000 gallons each day. Of that total, 14% is for personal use and 49% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 6,900 | |
| 6,500 | |
| 4,400 | |
| 5,250 |
49% of the water consumption is industrial use and 14% is personal use so (49% - 14%) = 35% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{35}{100} \) x 15,000 gallons = 5,250 gallons.