| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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addition |
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exponents |
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 the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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trisects |
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midpoints |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for z:
z2 + 3z - 15 = -3z + 1
| 2 or -1 | |
| -2 or -9 | |
| 2 or -8 | |
| 9 or -2 |
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 + 3z - 15 = -3z + 1
z2 + 3z - 15 - 1 = -3z
z2 + 3z + 3z - 16 = 0
z2 + 6z - 16 = 0
Next, factor the quadratic equation:
z2 + 6z - 16 = 0
(z - 2)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 8) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 8) = 0, z must equal -8
So the solution is that z = 2 or -8
If a = 8, b = 6, c = 4, and d = 7, what is the perimeter of this quadrilateral?
| 25 | |
| 20 | |
| 16 | |
| 27 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 6 + 4 + 7
p = 25
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 2. What is the surface area?
| 48 | |
| 168 | |
| 236 | |
| 100 |
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 2 x 2) + (2 x 2 x 5) + (2 x 2 x 5)
sa = (8) + (20) + (20)
sa = 48