| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 3. What is the surface area?
| 48 | |
| 68 | |
| 94 | |
| 320 |
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 4 x 3) + (2 x 3 x 5) + (2 x 4 x 5)
sa = (24) + (30) + (40)
sa = 94
If angle a = 59° and angle b = 66° what is the length of angle c?
| 123° | |
| 55° | |
| 133° | |
| 98° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 66° = 55°
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for x:
x2 + 12x + 35 = x + 5
| -5 or -6 | |
| -2 or -5 | |
| 9 or 1 | |
| 9 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:
x2 + 12x + 35 = x + 5
x2 + 12x + 35 - 5 = x
x2 + 12x - x + 30 = 0
x2 + 11x + 30 = 0
Next, factor the quadratic equation:
x2 + 11x + 30 = 0
(x + 5)(x + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 5) or (x + 6) must equal zero:
If (x + 5) = 0, x must equal -5
If (x + 6) = 0, x must equal -6
So the solution is that x = -5 or -6
Solve for z:
z2 - 14z + 45 = 0
| 7 or -7 | |
| 5 or 9 | |
| -3 or -8 | |
| -3 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 14z + 45 = 0
(z - 5)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 9) must equal zero:
If (z - 5) = 0, z must equal 5
If (z - 9) = 0, z must equal 9
So the solution is that z = 5 or 9