| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
On this circle, a line segment connecting point A to point D is called:
circumference |
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chord |
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diameter |
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radius |
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).
If the base of this triangle is 9 and the height is 5, what is the area?
| 49\(\frac{1}{2}\) | |
| 60 | |
| 22\(\frac{1}{2}\) | |
| 27\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 5 = \( \frac{45}{2} \) = 22\(\frac{1}{2}\)
Find the value of b:
4b + z = 1
3b - 6z = 5
| \(\frac{2}{3}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{11}{27}\) | |
| -1\(\frac{10}{17}\) |
You need to find the value of b so solve the first equation in terms of z:
4b + z = 1
z = 1 - 4b
then substitute the result (1 - 4b) into the second equation:
3b - 6(1 - 4b) = 5
3b + (-6 x 1) + (-6 x -4b) = 5
3b - 6 + 24b = 5
3b + 24b = 5 + 6
27b = 11
b = \( \frac{11}{27} \)
b = \(\frac{11}{27}\)
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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h x l x w |
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lw x wh + lh |
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.