| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Solve for z:
z2 + 6z + 5 = 0
| -3 or -3 | |
| -1 or -5 | |
| 7 or -2 | |
| 6 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 6z + 5 = 0
(z + 1)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z + 5) must equal zero:
If (z + 1) = 0, z must equal -1
If (z + 5) = 0, z must equal -5
So the solution is that z = -1 or -5
Solve for x:
-9x - 9 > -6 - 6x
| x > 9 | |
| x > -1\(\frac{1}{2}\) | |
| x > -1 | |
| x > 1 |
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.
-9x - 9 > -6 - 6x
-9x > -6 - 6x + 9
-9x + 6x > -6 + 9
-3x > 3
x > \( \frac{3}{-3} \)
x > -1
The dimensions of this cube are height (h) = 7, length (l) = 5, and width (w) = 2. What is the surface area?
| 54 | |
| 258 | |
| 136 | |
| 118 |
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 5 x 2) + (2 x 2 x 7) + (2 x 5 x 7)
sa = (20) + (28) + (70)
sa = 118
This diagram represents two parallel lines with a transversal. If z° = 40, what is the value of c°?
| 144 | |
| 143 | |
| 40 | |
| 158 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with z° = 40, the value of c° is 40.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
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.