| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
If a = c = 6, b = d = 9, and the blue angle = 70°, what is the area of this parallelogram?
| 32 | |
| 30 | |
| 54 | |
| 18 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 9
a = 54
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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trisects |
|
bisects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
x-intercept |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
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.
If a = c = 1, b = d = 6, what is the area of this rectangle?
| 24 | |
| 36 | |
| 6 | |
| 7 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 6
a = 6
Solve for y:
2y - 4 = \( \frac{y}{-7} \)
| -\(\frac{15}{29}\) | |
| -2\(\frac{1}{10}\) | |
| 1\(\frac{13}{15}\) | |
| -\(\frac{9}{40}\) |
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.
2y - 4 = \( \frac{y}{-7} \)
-7 x (2y - 4) = y
(-7 x 2y) + (-7 x -4) = y
-14y + 28 = y
-14y + 28 - y = 0
-14y - y = -28
-15y = -28
y = \( \frac{-28}{-15} \)
y = 1\(\frac{13}{15}\)