| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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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 |
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) = 7, length (l) = 6, and width (w) = 2. What is the volume?
| 4 | |
| 32 | |
| 84 | |
| 54 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 6 x 2
v = 84
Which of the following expressions contains exactly two terms?
monomial |
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polynomial |
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quadratic |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 6. What is the surface area?
| 72π | |
| 16π | |
| 132π | |
| 70π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 5)
sa = 2π(36) + 2π(30)
sa = (2 x 36)π + (2 x 30)π
sa = 72π + 60π
sa = 132π
Solve 3c - 2c = -5c - 7z + 8 for c in terms of z.
| -\(\frac{5}{8}\)z + 1 | |
| 2\(\frac{3}{7}\)z + \(\frac{1}{7}\) | |
| -13z - 4 | |
| -8z + 4\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
3c - 2z = -5c - 7z + 8
3c = -5c - 7z + 8 + 2z
3c + 5c = -7z + 8 + 2z
8c = -5z + 8
c = \( \frac{-5z + 8}{8} \)
c = \( \frac{-5z}{8} \) + \( \frac{8}{8} \)
c = -\(\frac{5}{8}\)z + 1