| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Solve 4a - 8a = -2a - y - 6 for a in terms of y.
| \(\frac{1}{2}\)y - 3 | |
| y + 2 | |
| y + 1 | |
| 1\(\frac{1}{6}\)y - 1 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a - 8y = -2a - y - 6
4a = -2a - y - 6 + 8y
4a + 2a = -y - 6 + 8y
6a = 7y - 6
a = \( \frac{7y - 6}{6} \)
a = \( \frac{7y}{6} \) + \( \frac{-6}{6} \)
a = 1\(\frac{1}{6}\)y - 1
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 3. What is the surface area?
| 46 | |
| 34 | |
| 102 | |
| 450 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 3) + (2 x 3 x 2) + (2 x 9 x 2)
sa = (54) + (12) + (36)
sa = 102
The endpoints of this line segment are at (-2, -5) and (2, -3). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| -3 | |
| 2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Inside |
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Last |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.