| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Factor y2 + y - 6
| (y + 2)(y - 3) | |
| (y - 2)(y + 3) | |
| (y + 2)(y + 3) | |
| (y - 2)(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 -6 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -2 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 6
y2 + (-2 + 3)y + (-2 x 3)
(y - 2)(y + 3)
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 5, and h = 3. What is the area?
| 9 | |
| 32\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) | |
| 15 |
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)(3)
a = ½(10)(3)
a = ½(30) = \( \frac{30}{2} \)
a = 15
What is the circumference of a circle with a diameter of 9?
| 10π | |
| 13π | |
| 9π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
squaring |
|
normalizing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
vertical, supplementary |
|
obtuse, acute |
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supplementary, vertical |
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).