| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
| 8 | |
| 6 | |
| 4 | |
| 31 |
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
Convert b-2 to remove the negative exponent.
| \( \frac{-1}{-2b^{2}} \) | |
| \( \frac{1}{b^2} \) | |
| \( \frac{2}{b} \) | |
| \( \frac{-2}{b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Find the average of the following numbers: 17, 11, 17, 11.
| 18 | |
| 12 | |
| 15 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 11 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 19 | |
| 11 | |
| 18 | |
| 4 |
The equation for this sequence is:
an = an-1 + 2
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
a6 = 9 + 2
a6 = 11
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
distributive |
|
associative |
|
PEDMAS |
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.