| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
What is -2c2 - 9c2?
| -11c-2 | |
| 11c-2 | |
| -11c2 | |
| 7c2 |
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:
-2c2 - 9c2
(-2 - 9)c2
-11c2
A bread recipe calls for 3 cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 2 cups | |
| 3\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| \(\frac{3}{4}\) cups |
The amount of flour you need is (3 - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{24}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups
What is \( \frac{3}{8} \) x \( \frac{1}{6} \)?
| \(\frac{1}{16}\) | |
| \(\frac{3}{8}\) | |
| \(\frac{2}{21}\) | |
| \(\frac{1}{14}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{1}{6} \) = \( \frac{3 x 1}{8 x 6} \) = \( \frac{3}{48} \) = \(\frac{1}{16}\)
What is \( \frac{2c^7}{5c^4} \)?
| \(\frac{2}{5}\)c-3 | |
| \(\frac{2}{5}\)c11 | |
| \(\frac{2}{5}\)c3 | |
| \(\frac{2}{5}\)c\(\frac{4}{7}\) |
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:
\( \frac{2c^7}{5c^4} \)
\( \frac{2}{5} \) c(7 - 4)
\(\frac{2}{5}\)c3
4! = ?
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.