| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.89 |
| Score | 0% | 78% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Inside |
|
Last |
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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.
A coordinate grid is composed of which of the following?
origin |
|
x-axis |
|
all of these |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If side a = 5, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 72
c2 = 25 + 49
c2 = 74
c = \( \sqrt{74} \)
Simplify (6a)(6ab) + (9a2)(8b).
| 108a2b | |
| 36a2b | |
| -36ab2 | |
| -36a2b |
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.
(6a)(6ab) + (9a2)(8b)
(6 x 6)(a x a x b) + (9 x 8)(a2 x b)
(36)(a1+1 x b) + (72)(a2b)
36a2b + 72a2b
108a2b
If a = 5, b = 6, c = 3, and d = 6, what is the perimeter of this quadrilateral?
| 18 | |
| 28 | |
| 13 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 6 + 3 + 6
p = 20