| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
If a = c = 2, b = d = 9, what is the area of this rectangle?
| 16 | |
| 18 | |
| 54 | |
| 42 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 9
a = 18
The dimensions of this cylinder are height (h) = 1 and radius (r) = 5. What is the volume?
| 72π | |
| 98π | |
| 24π | |
| 25π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 1)
v = 25π
The endpoints of this line segment are at (-2, -2) and (2, -4). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 3 | |
| 2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)If a = -3 and x = 5, what is the value of 7a(a - x)?
| 168 | |
| -336 | |
| 756 | |
| -240 |
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.)
7a(a - x)
7(-3)(-3 - 5)
7(-3)(-8)
(-21)(-8)
168
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.