| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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squaring |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify (8a)(7ab) - (5a2)(8b).
| 96a2b | |
| 16a2b | |
| 96ab2 | |
| -16ab2 |
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.
(8a)(7ab) - (5a2)(8b)
(8 x 7)(a x a x b) - (5 x 8)(a2 x b)
(56)(a1+1 x b) - (40)(a2b)
56a2b - 40a2b
16a2b
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
If the base of this triangle is 5 and the height is 8, what is the area?
| 35 | |
| 32\(\frac{1}{2}\) | |
| 20 | |
| 36 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 8 = \( \frac{40}{2} \) = 20
Find the value of b:
3b + x = -9
2b - 2x = 7
| -\(\frac{1}{17}\) | |
| -1\(\frac{3}{8}\) | |
| 2\(\frac{1}{15}\) | |
| \(\frac{1}{10}\) |
You need to find the value of b so solve the first equation in terms of x:
3b + x = -9
x = -9 - 3b
then substitute the result (-9 - 3b) into the second equation:
2b - 2(-9 - 3b) = 7
2b + (-2 x -9) + (-2 x -3b) = 7
2b + 18 + 6b = 7
2b + 6b = 7 - 18
8b = -11
b = \( \frac{-11}{8} \)
b = -1\(\frac{3}{8}\)