| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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).
Solve for y:
-3y - 2 = \( \frac{y}{9} \)
| -\(\frac{9}{14}\) | |
| 2\(\frac{7}{10}\) | |
| -1\(\frac{11}{37}\) | |
| -\(\frac{6}{11}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-3y - 2 = \( \frac{y}{9} \)
9 x (-3y - 2) = y
(9 x -3y) + (9 x -2) = y
-27y - 18 = y
-27y - 18 - y = 0
-27y - y = 18
-28y = 18
y = \( \frac{18}{-28} \)
y = -\(\frac{9}{14}\)
What is 5a + 6a?
| 11 | |
| 11a | |
| a2 | |
| 30a2 |
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.
5a + 6a = 11a
Simplify (y - 4)(y - 8)
| y2 + 12y + 32 | |
| y2 - 12y + 32 | |
| y2 + 4y - 32 | |
| y2 - 4y - 32 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y - 8)
(y x y) + (y x -8) + (-4 x y) + (-4 x -8)
y2 - 8y - 4y + 32
y2 - 12y + 32