| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Factor y2 + 3y - 54
| (y + 6)(y + 9) | |
| (y - 6)(y - 9) | |
| (y - 6)(y + 9) | |
| (y + 6)(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 -54 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 54
y2 + (-6 + 9)y + (-6 x 9)
(y - 6)(y + 9)
If angle a = 58° and angle b = 44° what is the length of angle c?
| 78° | |
| 112° | |
| 108° | |
| 51° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 58° - 44° = 78°
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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vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
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).
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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equal angle |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 6a - 2a?
| 4 | |
| 4a | |
| 4a2 | |
| a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a - 2a = 4a