| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
If a = c = 8, b = d = 7, and the blue angle = 74°, what is the area of this parallelogram?
| 25 | |
| 56 | |
| 42 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 7
a = 56
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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the lengths of all sides are equal |
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all interior angles are right angles |
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).
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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pairs |
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exponents |
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division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
Solve c - c = -6c + 8z - 1 for c in terms of z.
| 1\(\frac{2}{7}\)z - \(\frac{1}{7}\) | |
| \(\frac{1}{5}\)z + \(\frac{1}{15}\) | |
| -3\(\frac{1}{2}\)z + 1\(\frac{3}{4}\) | |
| 3z - 7 |
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.
c - z = -6c + 8z - 1
c = -6c + 8z - 1 + z
c + 6c = 8z - 1 + z
7c = 9z - 1
c = \( \frac{9z - 1}{7} \)
c = \( \frac{9z}{7} \) + \( \frac{-1}{7} \)
c = 1\(\frac{2}{7}\)z - \(\frac{1}{7}\)
A coordinate grid is composed of which of the following?
all of these |
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x-axis |
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origin |
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y-axis |
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.