| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 8. What is the volume?
| 294π | |
| 125π | |
| 245π | |
| 576π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 9)
v = 576π
The dimensions of this cylinder are height (h) = 9 and radius (r) = 4. What is the surface area?
| 104π | |
| 10π | |
| 8π | |
| 216π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 9)
sa = 2π(16) + 2π(36)
sa = (2 x 16)π + (2 x 36)π
sa = 32π + 72π
sa = 104π
Solve for b:
b2 - 13b + 74 = 4b + 2
| 7 or -3 | |
| -2 or -9 | |
| 3 or -3 | |
| 8 or 9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 13b + 74 = 4b + 2
b2 - 13b + 74 - 2 = 4b
b2 - 13b - 4b + 72 = 0
b2 - 17b + 72 = 0
Next, factor the quadratic equation:
b2 - 17b + 72 = 0
(b - 8)(b - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 8) or (b - 9) must equal zero:
If (b - 8) = 0, b must equal 8
If (b - 9) = 0, b must equal 9
So the solution is that b = 8 or 9
On this circle, line segment CD is the:
chord |
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radius |
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diameter |
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circumference |
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).