| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 8. What is the volume?
| 96 | |
| 90 | |
| 200 | |
| 35 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 3 x 8
v = 96
Solve for z:
z2 + 6z + 5 = 0
| 2 or -9 | |
| 7 or -3 | |
| 6 or -4 | |
| -1 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 6z + 5 = 0
(z + 1)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z + 5) must equal zero:
If (z + 1) = 0, z must equal -1
If (z + 5) = 0, z must equal -5
So the solution is that z = -1 or -5
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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pairs |
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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.)
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The endpoints of this line segment are at (-2, -6) and (2, 2). What is the slope of this line?
| -3 | |
| \(\frac{1}{2}\) | |
| -1 | |
| 2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)