| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
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Odd |
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Inside |
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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.
Simplify (5a)(7ab) - (2a2)(6b).
| 47a2b | |
| -23ab2 | |
| 96a2b | |
| 23a2b |
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.
(5a)(7ab) - (2a2)(6b)
(5 x 7)(a x a x b) - (2 x 6)(a2 x b)
(35)(a1+1 x b) - (12)(a2b)
35a2b - 12a2b
23a2b
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Find the value of c:
-7c + x = -8
-6c - 9x = 6
| -\(\frac{10}{11}\) | |
| \(\frac{45}{68}\) | |
| \(\frac{22}{23}\) | |
| \(\frac{25}{34}\) |
You need to find the value of c so solve the first equation in terms of x:
-7c + x = -8
x = -8 + 7c
then substitute the result (-8 - -7c) into the second equation:
-6c - 9(-8 + 7c) = 6
-6c + (-9 x -8) + (-9 x 7c) = 6
-6c + 72 - 63c = 6
-6c - 63c = 6 - 72
-69c = -66
c = \( \frac{-66}{-69} \)
c = \(\frac{22}{23}\)
If side a = 9, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{32} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{68} \) | |
| 5 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 52
c2 = 81 + 25
c2 = 106
c = \( \sqrt{106} \)