| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is 2z3 - 7z3?
| 5z-3 | |
| 9z-6 | |
| -5z3 | |
| 9z3 |
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:
2z3 - 7z3
(2 - 7)z3
-5z3
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
greatest common factor |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many 11-passenger vans will it take to drive all 35 members of the football team to an away game?
| 4 vans | |
| 6 vans | |
| 7 vans | |
| 9 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{35}{11} \) = 3\(\frac{2}{11}\)
So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.
What is \( \frac{1}{5} \) x \( \frac{2}{6} \)?
| \(\frac{1}{3}\) | |
| \(\frac{1}{72}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{8}{27}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{2}{6} \) = \( \frac{1 x 2}{5 x 6} \) = \( \frac{2}{30} \) = \(\frac{1}{15}\)
20 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?
| 3 | |
| 7 | |
| 4 | |
| 6 |
There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 20 people needing transportation leaving 20 - 16 = 4 who will have to find other transportation.