| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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trapezoid |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = c = 1, b = d = 9, what is the area of this rectangle?
| 7 | |
| 9 | |
| 10 | |
| 40 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9
A(n) __________ is two expressions separated by an equal sign.
formula |
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expression |
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problem |
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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.
Factor y2 - 6y + 9
| (y + 3)(y + 3) | |
| (y + 3)(y - 3) | |
| (y - 3)(y - 3) | |
| (y - 3)(y + 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -3 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 6y + 9
y2 + (-3 - 3)y + (-3 x -3)
(y - 3)(y - 3)
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).