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|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
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Convert x-4 to remove the negative exponent.
| \( \frac{-4}{x} \) | |
| \( \frac{1}{x^4} \) | |
| \( \frac{4}{x} \) | |
| \( \frac{-4}{-x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( 7 \)\( \sqrt{18} \) - \( 3 \)\( \sqrt{2} \)
| 18\( \sqrt{2} \) | |
| 4\( \sqrt{9} \) | |
| 21\( \sqrt{36} \) | |
| 4\( \sqrt{36} \) |
To subtract these radicals together their radicands must be the same:
7\( \sqrt{18} \) - 3\( \sqrt{2} \)
7\( \sqrt{9 \times 2} \) - 3\( \sqrt{2} \)
7\( \sqrt{3^2 \times 2} \) - 3\( \sqrt{2} \)
(7)(3)\( \sqrt{2} \) - 3\( \sqrt{2} \)
21\( \sqrt{2} \) - 3\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
21\( \sqrt{2} \) - 3\( \sqrt{2} \)If the ratio of home fans to visiting fans in a crowd is 4:1 and all 40,000 seats in a stadium are filled, how many home fans are in attendance?
| 35,200 | |
| 22,000 | |
| 32,500 | |
| 32,000 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
40,000 fans x \( \frac{4}{5} \) = \( \frac{160000}{5} \) = 32,000 fans.
What is \( \frac{6b^9}{3b^4} \)?
| 2b36 | |
| \(\frac{1}{2}\)b-5 | |
| 2b5 | |
| \(\frac{1}{2}\)b13 |
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:
\( \frac{6b^9}{3b^4} \)
\( \frac{6}{3} \) b(9 - 4)
2b5
21 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 2 | |
| 1 | |
| 6 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 21 people needing transportation leaving 21 - 20 = 1 who will have to find other transportation.