| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.79 |
| Score | 0% | 76% |
Which of the following is not an integer?
\({1 \over 2}\) |
|
-1 |
|
0 |
|
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 the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 6 | |
| 3 | |
| 17 | |
| 11 |
The equation for this sequence is:
an = an-1 + 2
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2
a6 = 9 + 2
a6 = 11
What is -9c3 x 4c7?
| -36c7 | |
| -36c21 | |
| -36c10 | |
| -5c10 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-9c3 x 4c7
(-9 x 4)c(3 + 7)
-36c10
In a class of 22 students, 9 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?
| 6 | |
| 20 | |
| 16 | |
| 13 |
The number of students taking German or Spanish is 9 + 14 = 23. Of that group of 23, 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 23 - 7 = 16 who are taking at least one language. 22 - 16 = 6 students who are not taking either language.
What is \( \sqrt{\frac{81}{81}} \)?
| 1 | |
| \(\frac{3}{4}\) | |
| \(\frac{1}{3}\) | |
| 1\(\frac{1}{6}\) |
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:
\( \sqrt{\frac{81}{81}} \)
\( \frac{\sqrt{81}}{\sqrt{81}} \)
\( \frac{\sqrt{9^2}}{\sqrt{9^2}} \)
1