| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Simplify \( \sqrt{112} \)
| 7\( \sqrt{14} \) | |
| 4\( \sqrt{14} \) | |
| 8\( \sqrt{14} \) | |
| 4\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)
What is \( \frac{3}{5} \) x \( \frac{2}{7} \)?
| \(\frac{6}{35}\) | |
| \(\frac{1}{27}\) | |
| \(\frac{3}{20}\) | |
| \(\frac{1}{16}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{5} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{5 x 7} \) = \( \frac{6}{35} \) = \(\frac{6}{35}\)
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?
| 27,333 | |
| 27,750 | |
| 35,833 | |
| 31,500 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
43,000 fans x \( \frac{5}{6} \) = \( \frac{215000}{6} \) = 35,833 fans.
What is 9y6 - 6y6?
| 3y6 | |
| -3y-6 | |
| 15y-12 | |
| 15y6 |
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:
9y6 - 6y6
(9 - 6)y6
3y6
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.