| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 2. What is the volume?
| 48π | |
| 180π | |
| 567π | |
| 36π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 9)
v = 36π
The dimensions of this cube are height (h) = 4, length (l) = 6, and width (w) = 8. What is the surface area?
| 158 | |
| 208 | |
| 94 | |
| 54 |
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 6 x 8) + (2 x 8 x 4) + (2 x 6 x 4)
sa = (96) + (64) + (48)
sa = 208
If a = -4 and z = 4, what is the value of 8a(a - z)?
| 0 | |
| -72 | |
| -5 | |
| 256 |
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.)
8a(a - z)
8(-4)(-4 - 4)
8(-4)(-8)
(-32)(-8)
256
Factor y2 - 4y - 5
| (y - 5)(y + 1) | |
| (y + 5)(y + 1) | |
| (y + 5)(y - 1) | |
| (y - 5)(y - 1) |
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 -5 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -5 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4y - 5
y2 + (-5 + 1)y + (-5 x 1)
(y - 5)(y + 1)
If a = c = 7, b = d = 9, what is the area of this rectangle?
| 6 | |
| 18 | |
| 8 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 9
a = 63