| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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all interior angles are right angles |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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 dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 9. What is the volume?
| 648 | |
| 168 | |
| 96 | |
| 10 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 9
v = 648
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).
Simplify (y - 9)(y - 6)
| y2 + 15y + 54 | |
| y2 - 15y + 54 | |
| y2 + 3y - 54 | |
| y2 - 3y - 54 |
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:
(y - 9)(y - 6)
(y x y) + (y x -6) + (-9 x y) + (-9 x -6)
y2 - 6y - 9y + 54
y2 - 15y + 54
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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normalizing |
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deconstructing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.