| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Convert x-4 to remove the negative exponent.
| \( \frac{-4}{x} \) | |
| \( \frac{1}{x^{-4}} \) | |
| \( \frac{1}{x^4} \) | |
| \( \frac{-1}{x^{-4}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
In a class of 23 students, 13 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 19 | |
| 12 | |
| 6 |
The number of students taking German or Spanish is 13 + 8 = 21. Of that group of 21, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 21 - 4 = 17 who are taking at least one language. 23 - 17 = 6 students who are not taking either language.
Which of the following is not a prime number?
5 |
|
7 |
|
9 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| \(\frac{5}{8}\) cups | |
| 2 cups | |
| 1\(\frac{1}{2}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups
24 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?
| 4 | |
| 53 | |
| 9 | |
| 2 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 24 people needing transportation leaving 24 - 20 = 4 who will have to find other transportation.