| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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h x l x w |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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.
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal angle |
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equal length |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for a:
a2 + 6a - 23 = a + 1
| 6 or 4 | |
| 3 or -8 | |
| 8 or 7 | |
| -3 or -4 |
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 + 6a - 23 = a + 1
a2 + 6a - 23 - 1 = a
a2 + 6a - a - 24 = 0
a2 + 5a - 24 = 0
Next, factor the quadratic equation:
a2 + 5a - 24 = 0
(a - 3)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a + 8) must equal zero:
If (a - 3) = 0, a must equal 3
If (a + 8) = 0, a must equal -8
So the solution is that a = 3 or -8
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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trapezoid |
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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.
A(n) __________ is two expressions separated by an equal sign.
formula |
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problem |
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expression |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.