| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 or a = -7 |
|
a = 7 |
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none of these is correct |
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 \( \left|b - 5\right| \) - 8 = -3, which of these is a possible value for b?
| 1 | |
| 6 | |
| 10 | |
| 3 |
First, solve for \( \left|b - 5\right| \):
\( \left|b - 5\right| \) - 8 = -3
\( \left|b - 5\right| \) = -3 + 8
\( \left|b - 5\right| \) = 5
The value inside the absolute value brackets can be either positive or negative so (b - 5) must equal + 5 or -5 for \( \left|b - 5\right| \) to equal 5:
| b - 5 = 5 b = 5 + 5 b = 10 | b - 5 = -5 b = -5 + 5 b = 0 |
So, b = 0 or b = 10.
What is \( \frac{12\sqrt{27}}{4\sqrt{9}} \)?
| 3 \( \sqrt{3} \) | |
| 3 \( \sqrt{\frac{1}{3}} \) | |
| \(\frac{1}{3}\) \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{\frac{1}{3}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{12\sqrt{27}}{4\sqrt{9}} \)
\( \frac{12}{4} \) \( \sqrt{\frac{27}{9}} \)
3 \( \sqrt{3} \)
| 1 | |
| 1.5 | |
| 1.8 | |
| 1.4 |
1
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.