| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is 9z3 - 7z3?
| 16z-6 | |
| 2z-3 | |
| 2z3 | |
| 16z6 |
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:
9z3 - 7z3
(9 - 7)z3
2z3
What is the least common multiple of 2 and 6?
| 6 | |
| 3 | |
| 4 | |
| 1 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
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 \( 4 \)\( \sqrt{8} \) + \( 4 \)\( \sqrt{2} \)
| 16\( \sqrt{16} \) | |
| 8\( \sqrt{8} \) | |
| 12\( \sqrt{2} \) | |
| 8\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
4\( \sqrt{8} \) + 4\( \sqrt{2} \)
4\( \sqrt{4 \times 2} \) + 4\( \sqrt{2} \)
4\( \sqrt{2^2 \times 2} \) + 4\( \sqrt{2} \)
(4)(2)\( \sqrt{2} \) + 4\( \sqrt{2} \)
8\( \sqrt{2} \) + 4\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
8\( \sqrt{2} \) + 4\( \sqrt{2} \)What is (b3)4?
| b-1 | |
| 4b3 | |
| b7 | |
| b12 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)4