| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 2, length (l) = 5, and width (w) = 1. What is the volume?
| 10 | |
| 192 | |
| 45 | |
| 128 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 5 x 1
v = 10
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
deconstructing |
|
squaring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the surface area?
| 18π | |
| 288π | |
| 176π | |
| 198π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 7)
sa = 2π(81) + 2π(63)
sa = (2 x 81)π + (2 x 63)π
sa = 162π + 126π
sa = 288π
Solve for b:
b2 + 5b - 14 = 0
| 8 or 3 | |
| 9 or 1 | |
| -5 or -8 | |
| 2 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 5b - 14 = 0
(b - 2)(b + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 7) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 7) = 0, b must equal -7
So the solution is that b = 2 or -7
The dimensions of this trapezoid are a = 5, b = 6, c = 7, d = 5, and h = 4. What is the area?
| 18 | |
| 27\(\frac{1}{2}\) | |
| 22 | |
| 12 |
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(6 + 5)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22