| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
What is the circumference of a circle with a radius of 3?
| 2π | |
| 6π | |
| 10π | |
| 18π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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quadrilateral |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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exponents |
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pairs |
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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.)
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Find the value of a:
-3a + x = -7
2a - 9x = 3
| -2\(\frac{2}{3}\) | |
| 2\(\frac{2}{5}\) | |
| -2 | |
| 1\(\frac{4}{13}\) |
You need to find the value of a so solve the first equation in terms of x:
-3a + x = -7
x = -7 + 3a
then substitute the result (-7 - -3a) into the second equation:
2a - 9(-7 + 3a) = 3
2a + (-9 x -7) + (-9 x 3a) = 3
2a + 63 - 27a = 3
2a - 27a = 3 - 63
-25a = -60
a = \( \frac{-60}{-25} \)
a = 2\(\frac{2}{5}\)