| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
If angle a = 53° and angle b = 55° what is the length of angle c?
| 72° | |
| 109° | |
| 107° | |
| 89° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 53° - 55° = 72°
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
pairs |
|
division |
|
addition |
When solving an equation with two variables, 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.)
If a = c = 6, b = d = 4, what is the area of this rectangle?
| 3 | |
| 32 | |
| 24 | |
| 48 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 4
a = 24
The dimensions of this cube are height (h) = 5, length (l) = 8, and width (w) = 8. What is the surface area?
| 58 | |
| 46 | |
| 288 | |
| 174 |
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 8 x 8) + (2 x 8 x 5) + (2 x 8 x 5)
sa = (128) + (80) + (80)
sa = 288
Solve for x:
x2 + x - 12 = 4x - 2
| -2 or 5 | |
| -4 or -7 | |
| 5 or -6 | |
| -6 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 + x - 12 = 4x - 2
x2 + x - 12 + 2 = 4x
x2 + x - 4x - 10 = 0
x2 - 3x - 10 = 0
Next, factor the quadratic equation:
x2 - 3x - 10 = 0
(x + 2)(x - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 2) or (x - 5) must equal zero:
If (x + 2) = 0, x must equal -2
If (x - 5) = 0, x must equal 5
So the solution is that x = -2 or 5