| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Solve for z:
z2 - 18z + 35 = -5z - 5
| 8 or -2 | |
| -2 or -9 | |
| 1 or -5 | |
| 5 or 8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 - 18z + 35 = -5z - 5
z2 - 18z + 35 + 5 = -5z
z2 - 18z + 5z + 40 = 0
z2 - 13z + 40 = 0
Next, factor the quadratic equation:
z2 - 13z + 40 = 0
(z - 5)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 8) must equal zero:
If (z - 5) = 0, z must equal 5
If (z - 8) = 0, z must equal 8
So the solution is that z = 5 or 8
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
parallel |
|
equal angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
What is the circumference of a circle with a radius of 16?
| 9π | |
| 18π | |
| 30π | |
| 32π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π
If c = 6 and x = 5, what is the value of 5c(c - x)?
| 325 | |
| -54 | |
| 30 | |
| 126 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
5c(c - x)
5(6)(6 - 5)
5(6)(1)
(30)(1)
30
The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 4. What is the surface area?
| 100 | |
| 124 | |
| 188 | |
| 34 |
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 7 x 4) + (2 x 4 x 2) + (2 x 7 x 2)
sa = (56) + (16) + (28)
sa = 100