| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Convert c-4 to remove the negative exponent.
| \( \frac{1}{c^4} \) | |
| \( \frac{4}{c} \) | |
| \( \frac{-1}{-4c^{4}} \) | |
| \( \frac{-1}{-4c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If a mayor is elected with 76% of the votes cast and 37% of a town's 34,000 voters cast a vote, how many votes did the mayor receive?
| 10,064 | |
| 9,561 | |
| 7,925 | |
| 7,171 |
If 37% of the town's 34,000 voters cast ballots the number of votes cast is:
(\( \frac{37}{100} \)) x 34,000 = \( \frac{1,258,000}{100} \) = 12,580
The mayor got 76% of the votes cast which is:
(\( \frac{76}{100} \)) x 12,580 = \( \frac{956,080}{100} \) = 9,561 votes.
What is 7b6 + 7b6?
| 14b6 | |
| 14b-12 | |
| 14b12 | |
| -6 |
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:
7b6 + 7b6
(7 + 7)b6
14b6
What is \( \sqrt{\frac{64}{25}} \)?
| 1\(\frac{3}{5}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{3}{8}\) | |
| \(\frac{3}{4}\) |
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:
\( \sqrt{\frac{64}{25}} \)
\( \frac{\sqrt{64}}{\sqrt{25}} \)
\( \frac{\sqrt{8^2}}{\sqrt{5^2}} \)
\( \frac{8}{5} \)
1\(\frac{3}{5}\)
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.