| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Which of the following is not true about both rectangles and squares?
the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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).
If a = c = 3, b = d = 4, what is the area of this rectangle?
| 12 | |
| 8 | |
| 10 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
Simplify (y + 2)(y - 1)
| y2 + y - 2 | |
| y2 - 3y + 2 | |
| y2 - y - 2 | |
| y2 + 3y + 2 |
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 + 2)(y - 1)
(y x y) + (y x -1) + (2 x y) + (2 x -1)
y2 - y + 2y - 2
y2 + y - 2
What is 2a - 8a?
| -6a2 | |
| -6a | |
| 10 | |
| 10a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a - 8a = -6a
The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the volume?
| 12π | |
| 112π | |
| 2π | |
| 512π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 3)
v = 12π