| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
Which of the following is not true about both rectangles and squares?
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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all interior angles are right angles |
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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 (5a)(8ab) - (7a2)(5b).
| -5ab2 | |
| 5a2b | |
| 156a2b | |
| 75a2b |
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.
(5a)(8ab) - (7a2)(5b)
(5 x 8)(a x a x b) - (7 x 5)(a2 x b)
(40)(a1+1 x b) - (35)(a2b)
40a2b - 35a2b
5a2b
The endpoints of this line segment are at (-2, 1) and (2, -7). What is the slope of this line?
| -2 | |
| 2\(\frac{1}{2}\) | |
| -1 | |
| -\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)If a = 2, b = 9, c = 5, and d = 3, what is the perimeter of this quadrilateral?
| 22 | |
| 13 | |
| 23 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 9 + 5 + 3
p = 19
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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x-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.