| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
What is 4z6 - 5z6?
| -z6 | |
| 9z6 | |
| z-6 | |
| -z-6 |
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:
4z6 - 5z6
(4 - 5)z6
-z6
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
greatest common factor |
|
least common multiple |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If \( \left|b - 4\right| \) + 3 = 9, which of these is a possible value for b?
| -3 | |
| 10 | |
| 11 | |
| 16 |
First, solve for \( \left|b - 4\right| \):
\( \left|b - 4\right| \) + 3 = 9
\( \left|b - 4\right| \) = 9 - 3
\( \left|b - 4\right| \) = 6
The value inside the absolute value brackets can be either positive or negative so (b - 4) must equal + 6 or -6 for \( \left|b - 4\right| \) to equal 6:
| b - 4 = 6 b = 6 + 4 b = 10 | b - 4 = -6 b = -6 + 4 b = -2 |
So, b = -2 or b = 10.
16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 5 | |
| 9 | |
| 1 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.
What is the least common multiple of 6 and 14?
| 42 | |
| 69 | |
| 12 | |
| 36 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.