| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Odd |
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First |
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Last |
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 5a - 5a?
| 25a | |
| 0a | |
| 10 | |
| 25a2 |
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.
5a - 5a = 0a
If a = 7, b = 6, c = 4, and d = 4, what is the perimeter of this quadrilateral?
| 20 | |
| 24 | |
| 17 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 6 + 4 + 4
p = 21
Factor y2 - y - 42
| (y + 7)(y - 6) | |
| (y + 7)(y + 6) | |
| (y - 7)(y - 6) | |
| (y - 7)(y + 6) |
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 -42 as well and sum (Inside, Outside) to equal -1. For this problem, those two numbers are -7 and 6. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - y - 42
y2 + (-7 + 6)y + (-7 x 6)
(y - 7)(y + 6)
The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| 1\(\frac{1}{2}\) | |
| -1 |
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, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)