| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 33 | |
| 24 | |
| 25 | |
| 31 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
17 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 2 | |
| 4 | |
| 5 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.
What is 6a2 + 4a2?
| 2a2 | |
| 2a-2 | |
| 10a2 | |
| 10a-4 |
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:
6a2 + 4a2
(6 + 4)a2
10a2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Roger buys two shirts, each with a regular price of $50, how much money will he save?
| $12.50 | |
| $10.00 | |
| $17.50 | |
| $7.50 |
By buying two shirts, Roger will save $50 x \( \frac{20}{100} \) = \( \frac{$50 x 20}{100} \) = \( \frac{$1000}{100} \) = $10.00 on the second shirt.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.