| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
pairs |
|
addition |
|
division |
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 side x = 13cm, side y = 5cm, and side z = 6cm what is the perimeter of this triangle?
| 27cm | |
| 20cm | |
| 24cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 5cm + 6cm = 24cm
Solve for x:
x2 + 6x - 16 = 0
| 2 or -4 | |
| 6 or -6 | |
| -4 or -7 | |
| 2 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 6x - 16 = 0
(x - 2)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 8) must equal zero:
If (x - 2) = 0, x must equal 2
If (x + 8) = 0, x must equal -8
So the solution is that x = 2 or -8
The dimensions of this cube are height (h) = 8, length (l) = 3, and width (w) = 4. What is the surface area?
| 136 | |
| 94 | |
| 82 | |
| 22 |
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 3 x 4) + (2 x 4 x 8) + (2 x 3 x 8)
sa = (24) + (64) + (48)
sa = 136
Simplify (y + 7)(y - 3)
| y2 - 4y - 21 | |
| y2 + 4y - 21 | |
| y2 - 10y + 21 | |
| y2 + 10y + 21 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 7)(y - 3)
(y x y) + (y x -3) + (7 x y) + (7 x -3)
y2 - 3y + 7y - 21
y2 + 4y - 21