| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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factoring |
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deconstructing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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c - a |
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a2 - c2 |
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c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 6. What is the surface area?
| 212 | |
| 288 | |
| 64 | |
| 180 |
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 8 x 6) + (2 x 6 x 3) + (2 x 8 x 3)
sa = (96) + (36) + (48)
sa = 180
If b = 2 and z = -9, what is the value of -8b(b - z)?
| -176 | |
| -8 | |
| 160 | |
| 1224 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8b(b - z)
-8(2)(2 + 9)
-8(2)(11)
(-16)(11)
-176
On this circle, a line segment connecting point A to point D is called:
circumference |
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diameter |
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radius |
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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).