| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Simplify \( \sqrt{20} \)
| 3\( \sqrt{10} \) | |
| 2\( \sqrt{10} \) | |
| 2\( \sqrt{5} \) | |
| 8\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 3\(\frac{3}{8}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{1}{4}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
If a mayor is elected with 59% of the votes cast and 64% of a town's 15,000 voters cast a vote, how many votes did the mayor receive?
| 8,640 | |
| 6,720 | |
| 5,664 | |
| 5,952 |
If 64% of the town's 15,000 voters cast ballots the number of votes cast is:
(\( \frac{64}{100} \)) x 15,000 = \( \frac{960,000}{100} \) = 9,600
The mayor got 59% of the votes cast which is:
(\( \frac{59}{100} \)) x 9,600 = \( \frac{566,400}{100} \) = 5,664 votes.
| 7.2 | |
| 1 | |
| 0.2 | |
| 2.8 |
1
What is -4z5 + 6z5?
| 2z5 | |
| 2z25 | |
| 10z-5 | |
| 2z-10 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-4z5 + 6z5
(-4 + 6)z5
2z5