| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
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).
Which of the following is not an integer?
1 |
|
0 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,250 | |
| 41,667 | |
| 36,667 | |
| 30,000 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
43,000 fans x \( \frac{3}{4} \) = \( \frac{129000}{4} \) = 32,250 fans.
Find the average of the following numbers: 12, 6, 12, 6.
| 10 | |
| 9 | |
| 12 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 6 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9
What is -9x4 - 7x4?
| -16x4 | |
| -2x8 | |
| 16x4 | |
| -16x-4 |
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:
-9x4 - 7x4
(-9 - 7)x4
-16x4