| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
In a class of 35 students, 15 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 12 | |
| 10 | |
| 23 |
The number of students taking German or Spanish is 15 + 15 = 30. Of that group of 30, 7 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 30 - 7 = 23 who are taking at least one language. 35 - 23 = 12 students who are not taking either language.
Which of the following is not an integer?
0 |
|
1 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
distributive |
|
associative |
|
PEDMAS |
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.
What is -4a3 + 5a3?
| -9a3 | |
| a3 | |
| a9 | |
| a-6 |
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:
-4a3 + 5a3
(-4 + 5)a3
a3
What is (z5)3?
| z2 | |
| z8 | |
| z-2 | |
| z15 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)3