| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
Factor y2 + 2y - 3
| (y - 1)(y + 3) | |
| (y - 1)(y - 3) | |
| (y + 1)(y + 3) | |
| (y + 1)(y - 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -3 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -1 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 2y - 3
y2 + (-1 + 3)y + (-1 x 3)
(y - 1)(y + 3)
If a = c = 1, b = d = 2, and the blue angle = 75°, what is the area of this parallelogram?
| 36 | |
| 16 | |
| 72 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following statements about a parallelogram is not true?
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 |
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opposite sides and adjacent angles are equal |
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).
The endpoints of this line segment are at (-2, 0) and (2, 8). What is the slope-intercept equation for this line?
| y = -2x - 3 | |
| y = 2x + 4 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = -\(\frac{1}{2}\)x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x + 4