| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is y3 - 2y3?
| y3 | |
| 3y9 | |
| -y3 | |
| y-3 |
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:
1y3 - 2y3
(1 - 2)y3
-y3
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
fraction |
|
integer |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is \( \frac{4\sqrt{18}}{2\sqrt{6}} \)?
| 3 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{3}\) \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{3}} \) | |
| 2 \( \sqrt{3} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{4\sqrt{18}}{2\sqrt{6}} \)
\( \frac{4}{2} \) \( \sqrt{\frac{18}{6}} \)
2 \( \sqrt{3} \)
Convert z-3 to remove the negative exponent.
| \( \frac{1}{z^3} \) | |
| \( \frac{-3}{-z} \) | |
| \( \frac{3}{z} \) | |
| \( \frac{1}{z^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \sqrt{\frac{9}{36}} \)?
| \(\frac{1}{2}\) | |
| \(\frac{3}{4}\) | |
| 2\(\frac{1}{2}\) | |
| 4\(\frac{1}{2}\) |
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:
\( \sqrt{\frac{9}{36}} \)
\( \frac{\sqrt{9}}{\sqrt{36}} \)
\( \frac{\sqrt{3^2}}{\sqrt{6^2}} \)
\(\frac{1}{2}\)