| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 4) and (2, 2). What is the slope of this line?
| -2 | |
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -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, 4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)The dimensions of this cube are height (h) = 6, length (l) = 6, and width (w) = 6. What is the volume?
| 9 | |
| 54 | |
| 120 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 6 x 6
v = 216
The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 3. What is the surface area?
| 162 | |
| 158 | |
| 42 | |
| 232 |
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 8 x 3) + (2 x 3 x 5) + (2 x 8 x 5)
sa = (48) + (30) + (80)
sa = 158
The dimensions of this trapezoid are a = 4, b = 9, c = 7, d = 4, and h = 3. What is the area?
| 5 | |
| 28 | |
| 26 | |
| 19\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 4)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)
What is 2a6 - 2a6?
| 0a6 | |
| 4 | |
| 12 | |
| 4a12 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a6 - 2a6 = 0a6