| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Which of these numbers is a factor of 56?
| 43 | |
| 59 | |
| 17 | |
| 7 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
What is -9z2 + 5z2?
| -4z-4 | |
| -14z-2 | |
| -4z2 | |
| 14z2 |
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:
-9z2 + 5z2
(-9 + 5)z2
-4z2
In a class of 19 students, 7 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 12 | |
| 15 | |
| 6 | |
| 14 |
The number of students taking German or Spanish is 7 + 10 = 17. Of that group of 17, 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 17 - 4 = 13 who are taking at least one language. 19 - 13 = 6 students who are not taking either language.
Find the average of the following numbers: 7, 5, 7, 5.
| 10 | |
| 11 | |
| 1 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{7 + 5 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6
Simplify \( \sqrt{27} \)
| 3\( \sqrt{3} \) | |
| 4\( \sqrt{3} \) | |
| 2\( \sqrt{6} \) | |
| 7\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)