| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.59 |
| Score | 0% | 52% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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2lw x 2wh + 2lh |
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lw x wh + lh |
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h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for y:
y2 + 5y + 4 = 0
| 6 or -8 | |
| -4 or -9 | |
| -1 or -4 | |
| 2 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 5y + 4 = 0
(y + 1)(y + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 4) must equal zero:
If (y + 1) = 0, y must equal -1
If (y + 4) = 0, y must equal -4
So the solution is that y = -1 or -4
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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intersects |
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trisects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve -7a - 7a = -8a + 8z + 4 for a in terms of z.
| z - 6 | |
| -2z + \(\frac{1}{2}\) | |
| -1\(\frac{4}{11}\)z + \(\frac{9}{11}\) | |
| 15z + 4 |
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.
-7a - 7z = -8a + 8z + 4
-7a = -8a + 8z + 4 + 7z
-7a + 8a = 8z + 4 + 7z
a = 15z + 4
Solve for x:
x + 4 < 8 + 6x
| x < 1\(\frac{2}{3}\) | |
| x < -7 | |
| x < -\(\frac{4}{5}\) | |
| x < -\(\frac{1}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
x + 4 < 8 + 6x
x < 8 + 6x - 4
x - 6x < 8 - 4
-5x < 4
x < \( \frac{4}{-5} \)
x < -\(\frac{4}{5}\)