| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
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 5\( \sqrt{3} \) x 8\( \sqrt{2} \)?
| 13\( \sqrt{2} \) | |
| 13\( \sqrt{6} \) | |
| 40\( \sqrt{6} \) | |
| 40\( \sqrt{2} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{3} \) x 8\( \sqrt{2} \)
(5 x 8)\( \sqrt{3 \times 2} \)
40\( \sqrt{6} \)
What is \( \frac{-6c^6}{6c^4} \)?
| -c\(\frac{2}{3}\) | |
| -c1\(\frac{1}{2}\) | |
| -c-2 | |
| -c2 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-6c^6}{6c^4} \)
\( \frac{-6}{6} \) c(6 - 4)
-c2
What is the greatest common factor of 76 and 52?
| 13 | |
| 4 | |
| 15 | |
| 40 |
The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 52 have in common.
What is \( \sqrt{\frac{25}{4}} \)?
| 2 | |
| 1\(\frac{3}{4}\) | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{4}\) |
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:
\( \sqrt{\frac{25}{4}} \)
\( \frac{\sqrt{25}}{\sqrt{4}} \)
\( \frac{\sqrt{5^2}}{\sqrt{2^2}} \)
\( \frac{5}{2} \)
2\(\frac{1}{2}\)