| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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quadratic |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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obtuse, acute |
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supplementary, vertical |
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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).
Factor y2 + 10y + 16
| (y + 2)(y - 8) | |
| (y - 2)(y - 8) | |
| (y - 2)(y + 8) | |
| (y + 2)(y + 8) |
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 16 as well and sum (Inside, Outside) to equal 10. For this problem, those two numbers are 2 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 10y + 16
y2 + (2 + 8)y + (2 x 8)
(y + 2)(y + 8)
The endpoints of this line segment are at (-2, -1) and (2, 5). What is the slope-intercept equation for this line?
| y = x + 3 | |
| y = 1\(\frac{1}{2}\)x + 2 | |
| y = x + 1 | |
| 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, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 2
If a = c = 6, b = d = 2, and the blue angle = 76°, what is the area of this parallelogram?
| 72 | |
| 12 | |
| 10 | |
| 9 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 2
a = 12