| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
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a = 7 or a = -7 |
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a = -7 |
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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).
What is 5\( \sqrt{6} \) x 7\( \sqrt{2} \)?
| 35\( \sqrt{2} \) | |
| 12\( \sqrt{6} \) | |
| 12\( \sqrt{12} \) | |
| 70\( \sqrt{3} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{6} \) x 7\( \sqrt{2} \)
(5 x 7)\( \sqrt{6 \times 2} \)
35\( \sqrt{12} \)
Now we need to simplify the radical:
35\( \sqrt{12} \)
35\( \sqrt{3 \times 4} \)
35\( \sqrt{3 \times 2^2} \)
(35)(2)\( \sqrt{3} \)
70\( \sqrt{3} \)
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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commutative |
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associative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Which of the following is not an integer?
1 |
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-1 |
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0 |
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\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
13 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 5 | |
| 6 | |
| 1 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.