| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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 cylinder are height (h) = 3 and radius (r) = 3. What is the surface area?
| 196π | |
| 36π | |
| 48π | |
| 192π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 3)
sa = 2π(9) + 2π(9)
sa = (2 x 9)π + (2 x 9)π
sa = 18π + 18π
sa = 36π
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 4. What is the volume?
| 48 | |
| 216 | |
| 189 | |
| 18 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 6 x 4
v = 216
Which of the following expressions contains exactly two terms?
polynomial |
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quadratic |
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binomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.