| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is 7z2 - 8z2?
| 15z4 | |
| -z2 | |
| z2 | |
| -z-2 |
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:
7z2 - 8z2
(7 - 8)z2
-z2
What is \( 2 \)\( \sqrt{28} \) - \( 5 \)\( \sqrt{7} \)
| -3\( \sqrt{28} \) | |
| -1\( \sqrt{7} \) | |
| -3\( \sqrt{45} \) | |
| 10\( \sqrt{196} \) |
To subtract these radicals together their radicands must be the same:
2\( \sqrt{28} \) - 5\( \sqrt{7} \)
2\( \sqrt{4 \times 7} \) - 5\( \sqrt{7} \)
2\( \sqrt{2^2 \times 7} \) - 5\( \sqrt{7} \)
(2)(2)\( \sqrt{7} \) - 5\( \sqrt{7} \)
4\( \sqrt{7} \) - 5\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
4\( \sqrt{7} \) - 5\( \sqrt{7} \)What is (z3)5?
| z-2 | |
| 3z5 | |
| z15 | |
| z8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)57 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 81 | |
| 2 | |
| 6 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 7 people needing transportation leaving 7 - 4 = 3 who will have to find other transportation.