| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
squaring |
|
deconstructing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this trapezoid are a = 5, b = 5, c = 8, d = 5, and h = 4. What is the area?
| 27 | |
| 19\(\frac{1}{2}\) | |
| 20 | |
| 24 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 5)(4)
a = ½(10)(4)
a = ½(40) = \( \frac{40}{2} \)
a = 20
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
obtuse, acute |
|
supplementary, vertical |
|
vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope-intercept equation for this line?
| y = 2x + 3 | |
| y = \(\frac{1}{2}\)x + 2 | |
| y = 1\(\frac{1}{2}\)x + 4 | |
| y = 2\(\frac{1}{2}\)x - 2 |
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 2. 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, 1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 2
If a = c = 2, b = d = 5, what is the area of this rectangle?
| 10 | |
| 36 | |
| 9 | |
| 48 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 5
a = 10