| 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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factoring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the volume?
| 2π | |
| 200π | |
| 12π | |
| 243π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 2)
v = 2π
The formula for the area of a circle is which of the following?
c = π r |
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c = π d |
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c = π d2 |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for z:
z2 - 17 = -2z - 2
| 3 or -5 | |
| 1 or -9 | |
| 2 or -4 | |
| 8 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 - 17 = -2z - 2
z2 - 17 + 2 = -2z
z2 + + 2z - 15 = 0
z2 + 2z - 15 = 0
Next, factor the quadratic equation:
z2 + 2z - 15 = 0
(z - 3)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 5) must equal zero:
If (z - 3) = 0, z must equal 3
If (z + 5) = 0, z must equal -5
So the solution is that z = 3 or -5