| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 55 | |
| 61 | |
| 65 | |
| 56 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?
| 23,250 | |
| 37,500 | |
| 35,000 | |
| 41,667 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
50,000 fans x \( \frac{3}{4} \) = \( \frac{150000}{4} \) = 37,500 fans.
17 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 6 | |
| 9 | |
| 1 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 17 people needing transportation leaving 17 - 16 = 1 who will have to find other transportation.
The total water usage for a city is 40,000 gallons each day. Of that total, 28% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,400 | |
| 12,150 | |
| 6,750 | |
| 16,000 |
39% of the water consumption is industrial use and 28% is personal use so (39% - 28%) = 11% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{11}{100} \) x 40,000 gallons = 4,400 gallons.
What is -x2 + 2x2?
| 3x2 | |
| -3x-2 | |
| 3x-2 | |
| x2 |
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:
-1x2 + 2x2
(-1 + 2)x2
x2