| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.60 |
| Score | 0% | 52% |
Solve for y:
-2y + 3 = 7 + 4y
| -\(\frac{3}{4}\) | |
| \(\frac{3}{5}\) | |
| -\(\frac{2}{3}\) | |
| -\(\frac{1}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-2y + 3 = 7 + 4y
-2y = 7 + 4y - 3
-2y - 4y = 7 - 3
-6y = 4
y = \( \frac{4}{-6} \)
y = -\(\frac{2}{3}\)
Solve for y:
9y - 9 < \( \frac{y}{-8} \)
| y < \(\frac{8}{11}\) | |
| y < 1\(\frac{5}{19}\) | |
| y < \(\frac{72}{73}\) | |
| y < -4 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
9y - 9 < \( \frac{y}{-8} \)
-8 x (9y - 9) < y
(-8 x 9y) + (-8 x -9) < y
-72y + 72 < y
-72y + 72 - y < 0
-72y - y < -72
-73y < -72
y < \( \frac{-72}{-73} \)
y < \(\frac{72}{73}\)
The endpoints of this line segment are at (-2, 2) and (2, -4). What is the slope of this line?
| -1 | |
| -1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -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, 2) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the volume?
| 24π | |
| 81π | |
| 36π | |
| 16π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 1)
v = 81π
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 7. What is the surface area?
| 240 | |
| 118 | |
| 486 | |
| 202 |
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 7) + (2 x 7 x 3) + (2 x 8 x 3)
sa = (112) + (42) + (48)
sa = 202