| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.73 |
| Score | 0% | 55% |
The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 2. What is the volume?
| 432 | |
| 14 | |
| 48 | |
| 56 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 1 x 2
v = 14
Solve 8c - 2c = -4c + 8x + 5 for c in terms of x.
| x + \(\frac{1}{2}\) | |
| -\(\frac{2}{7}\)x - 1\(\frac{1}{7}\) | |
| \(\frac{5}{6}\)x + \(\frac{5}{12}\) | |
| 15x - 7 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
8c - 2x = -4c + 8x + 5
8c = -4c + 8x + 5 + 2x
8c + 4c = 8x + 5 + 2x
12c = 10x + 5
c = \( \frac{10x + 5}{12} \)
c = \( \frac{10x}{12} \) + \( \frac{5}{12} \)
c = \(\frac{5}{6}\)x + \(\frac{5}{12}\)
On this circle, a line segment connecting point A to point D is called:
radius |
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diameter |
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circumference |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this trapezoid are a = 6, b = 3, c = 7, d = 5, and h = 4. What is the area?
| 13\(\frac{1}{2}\) | |
| 16 | |
| 7 | |
| 22\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 5)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
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vertical, supplementary |
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obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).