| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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parallel |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for a:
a + 8 > \( \frac{a}{5} \)
| a > -1\(\frac{15}{17}\) | |
| a > -3 | |
| a > -10 | |
| a > 1 |
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 > sign and the answer on the other.
a + 8 > \( \frac{a}{5} \)
5 x (a + 8) > a
(5 x a) + (5 x 8) > a
5a + 40 > a
5a + 40 - a > 0
5a - a > -40
4a > -40
a > \( \frac{-40}{4} \)
a > -10
If a = c = 5, b = d = 6, and the blue angle = 66°, what is the area of this parallelogram?
| 30 | |
| 15 | |
| 36 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
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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all interior angles are right angles |
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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).
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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slope |
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y-intercept |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.