| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Which of the following is not true about both rectangles and squares?
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 |
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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).
Simplify 4a x 7b.
| 28ab | |
| 28\( \frac{a}{b} \) | |
| 28\( \frac{b}{a} \) | |
| 11ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
4a x 7b = (4 x 7) (a x b) = 28ab
The dimensions of this cylinder are height (h) = 8 and radius (r) = 1. What is the surface area?
| 18π | |
| 210π | |
| 108π | |
| 40π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 8)
sa = 2π(1) + 2π(8)
sa = (2 x 1)π + (2 x 8)π
sa = 2π + 16π
sa = 18π
If a = c = 4, b = d = 9, and the blue angle = 57°, what is the area of this parallelogram?
| 28 | |
| 36 | |
| 25 | |
| 15 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 9
a = 36
What is 8a6 + 5a6?
| 13a6 | |
| 13a12 | |
| 13 | |
| 40a12 |
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.
8a6 + 5a6 = 13a6