| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
If a = 7, b = 8, c = 2, and d = 8, what is the perimeter of this quadrilateral?
| 22 | |
| 21 | |
| 25 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 8 + 2 + 8
p = 25
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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squaring |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for a:
3a - 5 = \( \frac{a}{-1} \)
| -1\(\frac{2}{7}\) | |
| 1\(\frac{11}{34}\) | |
| \(\frac{10}{13}\) | |
| 1\(\frac{1}{4}\) |
To solve this equation, 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.
3a - 5 = \( \frac{a}{-1} \)
-1 x (3a - 5) = a
(-1 x 3a) + (-1 x -5) = a
-3a + 5 = a
-3a + 5 - a = 0
-3a - a = -5
-4a = -5
a = \( \frac{-5}{-4} \)
a = 1\(\frac{1}{4}\)
Simplify (7a)(4ab) - (8a2)(8b).
| -36a2b | |
| 176a2b | |
| 92a2b | |
| 92ab2 |
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.
(7a)(4ab) - (8a2)(8b)
(7 x 4)(a x a x b) - (8 x 8)(a2 x b)
(28)(a1+1 x b) - (64)(a2b)
28a2b - 64a2b
-36a2b
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).