| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
Factor y2 + 15y + 56
| (y - 7)(y - 8) | |
| (y - 7)(y + 8) | |
| (y + 7)(y - 8) | |
| (y + 7)(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 56 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 15y + 56
y2 + (7 + 8)y + (7 x 8)
(y + 7)(y + 8)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the volume?
| 64π | |
| 288π | |
| 54π | |
| 175π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 6)
v = 54π
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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First |
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Odd |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
What is 7a + 4a?
| 11a | |
| 3a2 | |
| 28a2 | |
| 28a |
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.
7a + 4a = 11a