| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Solve for y:
-2y - 6 < -5 + 3y
| y < -\(\frac{3}{4}\) | |
| y < -\(\frac{1}{5}\) | |
| y < \(\frac{2}{3}\) | |
| y < -\(\frac{7}{9}\) |
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.
-2y - 6 < -5 + 3y
-2y < -5 + 3y + 6
-2y - 3y < -5 + 6
-5y < 1
y < \( \frac{1}{-5} \)
y < -\(\frac{1}{5}\)
If a = 3, b = 7, c = 1, and d = 2, what is the perimeter of this quadrilateral?
| 16 | |
| 32 | |
| 17 | |
| 13 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 7 + 1 + 2
p = 13
The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the volume?
| 9π | |
| 2π | |
| 512π | |
| 100π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 4)
v = 100π
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the surface area?
| 48π | |
| 32π | |
| 64π | |
| 72π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 9)
sa = 2π(9) + 2π(27)
sa = (2 x 9)π + (2 x 27)π
sa = 18π + 54π
sa = 72π
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.