| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If the base of this triangle is 2 and the height is 9, what is the area?
| 9 | |
| 32\(\frac{1}{2}\) | |
| 36 | |
| 65 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 9 = \( \frac{18}{2} \) = 9
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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right angle |
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parallel |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
If c = 6 and y = 2, what is the value of -8c(c - y)?
| -432 | |
| 64 | |
| -192 | |
| 88 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8c(c - y)
-8(6)(6 - 2)
-8(6)(4)
(-48)(4)
-192
If the area of this square is 16, what is the length of one of the diagonals?
| 4\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{16} \) = 4
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 42 + 42
c2 = 32
c = \( \sqrt{32} \) = \( \sqrt{16 x 2} \) = \( \sqrt{16} \) \( \sqrt{2} \)
c = 4\( \sqrt{2} \)