| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.53 |
| Score | 0% | 51% |
Solve for y:
y2 - 11y + 18 = 0
| 2 or 9 | |
| 6 or 4 | |
| -2 or -3 | |
| 9 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 11y + 18 = 0
(y - 2)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y - 9) must equal zero:
If (y - 2) = 0, y must equal 2
If (y - 9) = 0, y must equal 9
So the solution is that y = 2 or 9
The dimensions of this cube are height (h) = 4, length (l) = 9, and width (w) = 2. What is the surface area?
| 158 | |
| 124 | |
| 34 | |
| 212 |
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 9 x 2) + (2 x 2 x 4) + (2 x 9 x 4)
sa = (36) + (16) + (72)
sa = 124
The dimensions of this cylinder are height (h) = 5 and radius (r) = 4. What is the volume?
| 80π | |
| 256π | |
| 405π | |
| 16π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 5)
v = 80π
Solve for z:
-8z - 7 = -8 - 7z
| 1\(\frac{2}{5}\) | |
| \(\frac{1}{4}\) | |
| 1 | |
| -\(\frac{2}{7}\) |
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.
-8z - 7 = -8 - 7z
-8z = -8 - 7z + 7
-8z + 7z = -8 + 7
-z = -1
z = \( \frac{-1}{-1} \)
z = 1
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.