| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
9 |
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.
What is \( \frac{-9b^6}{1b^4} \)?
| -\(\frac{1}{9}\)b-2 | |
| -9b10 | |
| -9b2 | |
| -9b\(\frac{2}{3}\) |
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:
\( \frac{-9b^6}{b^4} \)
\( \frac{-9}{1} \) b(6 - 4)
-9b2
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 37,000 seats in a stadium are filled, how many home fans are in attendance?
| 26,667 | |
| 28,000 | |
| 30,833 | |
| 37,500 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
37,000 fans x \( \frac{5}{6} \) = \( \frac{185000}{6} \) = 30,833 fans.
What is -a2 + 5a2?
| 6a2 | |
| 4a-4 | |
| 4a2 | |
| -6a-2 |
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:
-1a2 + 5a2
(-1 + 5)a2
4a2
In a class of 22 students, 9 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 21 | |
| 12 | |
| 17 | |
| 6 |
The number of students taking German or Spanish is 9 + 10 = 19. Of that group of 19, 3 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 19 - 3 = 16 who are taking at least one language. 22 - 16 = 6 students who are not taking either language.