| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is -6b2 - b2?
| 7b-2 | |
| -7b2 | |
| -5b-4 | |
| -7b-2 |
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:
-6b2 - 1b2
(-6 - 1)b2
-7b2
What is \( \sqrt{\frac{16}{16}} \)?
| 1\(\frac{1}{7}\) | |
| 4\(\frac{1}{2}\) | |
| \(\frac{3}{4}\) | |
| 1 |
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:
\( \sqrt{\frac{16}{16}} \)
\( \frac{\sqrt{16}}{\sqrt{16}} \)
\( \frac{\sqrt{4^2}}{\sqrt{4^2}} \)
1
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
none of these is correct |
|
a = -7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
If a mayor is elected with 87% of the votes cast and 48% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?
| 8,770 | |
| 5,443 | |
| 8,266 | |
| 7,963 |
If 48% of the town's 21,000 voters cast ballots the number of votes cast is:
(\( \frac{48}{100} \)) x 21,000 = \( \frac{1,008,000}{100} \) = 10,080
The mayor got 87% of the votes cast which is:
(\( \frac{87}{100} \)) x 10,080 = \( \frac{876,960}{100} \) = 8,770 votes.
Find the average of the following numbers: 11, 5, 10, 6.
| 10 | |
| 4 | |
| 8 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 5 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8