| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
A factor is a positive __________ that divides evenly into a given number.
integer |
|
mixed number |
|
fraction |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is 6\( \sqrt{2} \) x 4\( \sqrt{7} \)?
| 10\( \sqrt{7} \) | |
| 24\( \sqrt{14} \) | |
| 24\( \sqrt{9} \) | |
| 24\( \sqrt{7} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{2} \) x 4\( \sqrt{7} \)
(6 x 4)\( \sqrt{2 \times 7} \)
24\( \sqrt{14} \)
Solve 5 + (5 + 5) ÷ 3 x 5 - 22
| 1\(\frac{4}{5}\) | |
| 17\(\frac{2}{3}\) | |
| \(\frac{7}{8}\) | |
| \(\frac{1}{4}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (5 + 5) ÷ 3 x 5 - 22
P: 5 + (10) ÷ 3 x 5 - 22
E: 5 + 10 ÷ 3 x 5 - 4
MD: 5 + \( \frac{10}{3} \) x 5 - 4
MD: 5 + \( \frac{50}{3} \) - 4
AS: \( \frac{15}{3} \) + \( \frac{50}{3} \) - 4
AS: \( \frac{65}{3} \) - 4
AS: \( \frac{65 - 12}{3} \)
\( \frac{53}{3} \)
17\(\frac{2}{3}\)
What is -4x3 - 2x3?
| 6x3 | |
| -2x3 | |
| -6x3 | |
| -2x9 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-4x3 - 2x3
(-4 - 2)x3
-6x3
In a class of 24 students, 8 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 17 | |
| 24 | |
| 8 | |
| 20 |
The number of students taking German or Spanish is 8 + 12 = 20. Of that group of 20, 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 20 - 4 = 16 who are taking at least one language. 24 - 16 = 8 students who are not taking either language.