| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Simplify (y - 8)(y + 9)
| y2 + y - 72 | |
| y2 + 17y + 72 | |
| y2 - y - 72 | |
| y2 - 17y + 72 |
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:
(y - 8)(y + 9)
(y x y) + (y x 9) + (-8 x y) + (-8 x 9)
y2 + 9y - 8y - 72
y2 + y - 72
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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h2 x l2 x w2 |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Solve for z:
z2 + z - 42 = 0
| -5 or -8 | |
| 2 or -3 | |
| 9 or -5 | |
| 6 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + z - 42 = 0
(z - 6)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z + 7) must equal zero:
If (z - 6) = 0, z must equal 6
If (z + 7) = 0, z must equal -7
So the solution is that z = 6 or -7
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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squaring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.