| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Factor y2 - 7y - 18
| (y - 9)(y - 2) | |
| (y - 9)(y + 2) | |
| (y + 9)(y - 2) | |
| (y + 9)(y + 2) |
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 -18 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -9 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 7y - 18
y2 + (-9 + 2)y + (-9 x 2)
(y - 9)(y + 2)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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deconstructing |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following expressions contains exactly two terms?
quadratic |
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polynomial |
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binomial |
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monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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formula |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the surface area?
| 54π | |
| 24π | |
| 20π | |
| 144π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 9)
sa = 2π(1) + 2π(9)
sa = (2 x 1)π + (2 x 9)π
sa = 2π + 18π
sa = 20π