| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is 3x6 - 4x6?
| -x6 | |
| x6 | |
| 7x36 | |
| x-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:
3x6 - 4x6
(3 - 4)x6
-x6
Which of the following is not an integer?
-1 |
|
1 |
|
0 |
|
\({1 \over 2}\) |
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 \( 8 \)\( \sqrt{20} \) + \( 4 \)\( \sqrt{5} \)
| 20\( \sqrt{5} \) | |
| 32\( \sqrt{5} \) | |
| 32\( \sqrt{100} \) | |
| 32\( \sqrt{20} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{20} \) + 4\( \sqrt{5} \)
8\( \sqrt{4 \times 5} \) + 4\( \sqrt{5} \)
8\( \sqrt{2^2 \times 5} \) + 4\( \sqrt{5} \)
(8)(2)\( \sqrt{5} \) + 4\( \sqrt{5} \)
16\( \sqrt{5} \) + 4\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
16\( \sqrt{5} \) + 4\( \sqrt{5} \)What is \( \sqrt{\frac{4}{36}} \)?
| 1 | |
| 1\(\frac{4}{5}\) | |
| 2\(\frac{1}{4}\) | |
| \(\frac{1}{3}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{4}{36}} \)
\( \frac{\sqrt{4}}{\sqrt{36}} \)
\( \frac{\sqrt{2^2}}{\sqrt{6^2}} \)
\(\frac{1}{3}\)
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.