| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is (c5)5?
| c10 | |
| c0 | |
| 5c5 | |
| c25 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c5)5\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
|
commutative property for multiplication |
|
commutative property for division |
|
distributive property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
What is -2y7 - 6y7?
| -8y7 | |
| 4y14 | |
| 4y7 | |
| 8y-7 |
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:
-2y7 - 6y7
(-2 - 6)y7
-8y7
In a class of 25 students, 13 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?
| 15 | |
| 19 | |
| 5 | |
| 14 |
The number of students taking German or Spanish is 13 + 13 = 26. Of that group of 26, 6 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 26 - 6 = 20 who are taking at least one language. 25 - 20 = 5 students who are not taking either language.