| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the surface area?
| 88π | |
| 54π | |
| 24π | |
| 20π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 7)
sa = 2π(16) + 2π(28)
sa = (2 x 16)π + (2 x 28)π
sa = 32π + 56π
sa = 88π
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
If c = 4 and y = -1, what is the value of -4c(c - y)?
| -80 | |
| 352 | |
| -320 | |
| 0 |
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.)
-4c(c - y)
-4(4)(4 + 1)
-4(4)(5)
(-16)(5)
-80
What is the area of a circle with a radius of 3?
| 9π | |
| 5π | |
| 81π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
If a = c = 1, b = d = 2, what is the area of this rectangle?
| 36 | |
| 48 | |
| 2 | |
| 6 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2