| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Which of the following is not an integer?
-1 |
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0 |
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1 |
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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.
Find the average of the following numbers: 11, 9, 12, 8.
| 12 | |
| 6 | |
| 13 | |
| 10 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 9 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10
If \( \left|y - 8\right| \) - 2 = -5, which of these is a possible value for y?
| 0 | |
| 6 | |
| -5 | |
| 11 |
First, solve for \( \left|y - 8\right| \):
\( \left|y - 8\right| \) - 2 = -5
\( \left|y - 8\right| \) = -5 + 2
\( \left|y - 8\right| \) = -3
The value inside the absolute value brackets can be either positive or negative so (y - 8) must equal - 3 or --3 for \( \left|y - 8\right| \) to equal -3:
| y - 8 = -3 y = -3 + 8 y = 5 | y - 8 = 3 y = 3 + 8 y = 11 |
So, y = 11 or y = 5.
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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PEDMAS |
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associative |
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.
What is -4a6 x 6a3?
| 2a9 | |
| -24a3 | |
| -24a18 | |
| -24a9 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-4a6 x 6a3
(-4 x 6)a(6 + 3)
-24a9