| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 8. What is the volume?
| 40 | |
| 96 | |
| 63 | |
| 224 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 1 x 8
v = 40
If the base of this triangle is 9 and the height is 4, what is the area?
| 18 | |
| 56 | |
| 71\(\frac{1}{2}\) | |
| 32\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 4 = \( \frac{36}{2} \) = 18
Which of the following expressions contains exactly two terms?
monomial |
|
binomial |
|
quadratic |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, -7) and (2, 1). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x - 4 | |
| y = -x - 1 | |
| y = 2x - 3 | |
| y = -2\(\frac{1}{2}\)x - 2 |
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 -3. 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, -7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x - 3
The dimensions of this cylinder are height (h) = 8 and radius (r) = 5. What is the volume?
| 729π | |
| 324π | |
| 75π | |
| 200π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 8)
v = 200π