| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Factor y2 - y - 2
| (y + 2)(y - 1) | |
| (y - 2)(y - 1) | |
| (y - 2)(y + 1) | |
| (y + 2)(y + 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -2 as well and sum (Inside, Outside) to equal -1. For this problem, those two numbers are -2 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - y - 2
y2 + (-2 + 1)y + (-2 x 1)
(y - 2)(y + 1)
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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isosceles and right |
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equilateral, isosceles and right |
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equilateral and isosceles |
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.
Simplify 9a x 8b.
| 72\( \frac{b}{a} \) | |
| 72\( \frac{a}{b} \) | |
| 72ab | |
| 72a2b2 |
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.
9a x 8b = (9 x 8) (a x b) = 72ab
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 3. What is the surface area?
| 232 | |
| 110 | |
| 212 | |
| 126 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 3) + (2 x 3 x 9) + (2 x 3 x 9)
sa = (18) + (54) + (54)
sa = 126
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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squaring |
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normalizing |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.