| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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acute, obtuse |
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vertical, supplementary |
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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).
Simplify (9a)(8ab) + (3a2)(6b).
| -54a2b | |
| 153ab2 | |
| 90a2b | |
| 90ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(8ab) + (3a2)(6b)
(9 x 8)(a x a x b) + (3 x 6)(a2 x b)
(72)(a1+1 x b) + (18)(a2b)
72a2b + 18a2b
90a2b
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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squaring |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If angle a = 59° and angle b = 51° what is the length of angle c?
| 69° | |
| 66° | |
| 79° | |
| 70° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 51° = 70°
Factor y2 + 12y + 27
| (y - 3)(y - 9) | |
| (y - 3)(y + 9) | |
| (y + 3)(y + 9) | |
| (y + 3)(y - 9) |
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 27 as well and sum (Inside, Outside) to equal 12. For this problem, those two numbers are 3 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 12y + 27
y2 + (3 + 9)y + (3 x 9)
(y + 3)(y + 9)