| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Find the average of the following numbers: 16, 12, 15, 13.
| 11 | |
| 18 | |
| 19 | |
| 14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 15 + 13}{4} \) = \( \frac{56}{4} \) = 14
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?
| 3:8 | |
| 7:4 | |
| 1:6 | |
| 9:2 |
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 \( \frac{-4z^8}{2z^2} \)?
| -2z6 | |
| -\(\frac{1}{2}\)z6 | |
| -2z\(\frac{1}{4}\) | |
| -2z16 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-4z^8}{2z^2} \)
\( \frac{-4}{2} \) z(8 - 2)
-2z6
What is \( \frac{1}{7} \) ÷ \( \frac{3}{5} \)?
| \(\frac{1}{14}\) | |
| \(\frac{2}{35}\) | |
| \(\frac{1}{8}\) | |
| \(\frac{5}{21}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{7} \) ÷ \( \frac{3}{5} \) = \( \frac{1}{7} \) x \( \frac{5}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{7} \) x \( \frac{5}{3} \) = \( \frac{1 x 5}{7 x 3} \) = \( \frac{5}{21} \) = \(\frac{5}{21}\)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = -7 |
|
none of these is correct |
|
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).