| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 4. What is the volume?
| 168 | |
| 567 | |
| 96 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 2 x 4
v = 48
The formula for the area of a circle is which of the following?
c = π r |
|
c = π d2 |
|
c = π d |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
normalizing |
|
deconstructing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Factor y2 + 2y - 3
| (y + 1)(y + 3) | |
| (y - 1)(y - 3) | |
| (y - 1)(y + 3) | |
| (y + 1)(y - 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -3 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y - 3
y2 + (-1 + 3)y + (-1 x 3)
(y - 1)(y + 3)
The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the surface area?
| 72π | |
| 144π | |
| 306π | |
| 252π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 5)
sa = 2π(81) + 2π(45)
sa = (2 x 81)π + (2 x 45)π
sa = 162π + 90π
sa = 252π