| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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trapezoid |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 9. What is the surface area?
| 94 | |
| 192 | |
| 158 | |
| 198 |
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 1 x 9) + (2 x 9 x 9) + (2 x 1 x 9)
sa = (18) + (162) + (18)
sa = 198
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
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h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Inside |
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Last |
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.
Solve for a:
a2 + a - 44 = -2a - 4
| 4 or -6 | |
| 9 or 4 | |
| -2 or -8 | |
| 5 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:
a2 + a - 44 = -2a - 4
a2 + a - 44 + 4 = -2a
a2 + a + 2a - 40 = 0
a2 + 3a - 40 = 0
Next, factor the quadratic equation:
a2 + 3a - 40 = 0
(a - 5)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 8) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 8) = 0, a must equal -8
So the solution is that a = 5 or -8