| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
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.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:2 | |
| 3:8 | |
| 9:4 | |
| 5:1 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.
What is \( \frac{16\sqrt{15}}{8\sqrt{5}} \)?
| 2 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{2} \) | |
| 3 \( \sqrt{2} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{16\sqrt{15}}{8\sqrt{5}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{15}{5}} \)
2 \( \sqrt{3} \)
What is (z5)5?
| z25 | |
| z0 | |
| z10 | |
| 5z5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)5Convert x-4 to remove the negative exponent.
| \( \frac{-1}{-4x^{4}} \) | |
| \( \frac{1}{x^{-4}} \) | |
| \( \frac{1}{x^4} \) | |
| \( \frac{-4}{-x} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.