| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Which of the following is not a prime number?
5 |
|
9 |
|
2 |
|
7 |
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.
In a class of 31 students, 13 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 30 | |
| 21 | |
| 31 | |
| 6 |
The number of students taking German or Spanish is 13 + 14 = 27. Of that group of 27, 2 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 27 - 2 = 25 who are taking at least one language. 31 - 25 = 6 students who are not taking either language.
What is \( \sqrt{\frac{25}{4}} \)?
| \(\frac{3}{4}\) | |
| 1 | |
| 2\(\frac{1}{2}\) | |
| 3 |
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:
\( \sqrt{\frac{25}{4}} \)
\( \frac{\sqrt{25}}{\sqrt{4}} \)
\( \frac{\sqrt{5^2}}{\sqrt{2^2}} \)
\( \frac{5}{2} \)
2\(\frac{1}{2}\)
Simplify \( \sqrt{18} \)
| 3\( \sqrt{2} \) | |
| 3\( \sqrt{4} \) | |
| 2\( \sqrt{2} \) | |
| 7\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
distributive |
|
commutative |
|
associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.