| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
addition |
|
division |
|
pairs |
When solving an equation with two variables, 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.)
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the volume?
| 729π | |
| 294π | |
| 648π | |
| 320π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 5)
v = 320π
The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 9. What is the surface area?
| 10 | |
| 78 | |
| 136 | |
| 22 |
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 3 x 9) + (2 x 9 x 1) + (2 x 3 x 1)
sa = (54) + (18) + (6)
sa = 78
If the base of this triangle is 3 and the height is 7, what is the area?
| 54 | |
| 60 | |
| 27\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 3 x 7 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, 6) and (2, -6). What is the slope-intercept equation for this line?
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = x - 4 | |
| y = -3x + 0 | |
| y = 2\(\frac{1}{2}\)x + 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. 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, 6) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 0