| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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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.
What is 6a6 + 6a6?
| 12a12 | |
| 12 | |
| 12 | |
| 12a6 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a6 + 6a6 = 12a6
The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 5. What is the volume?
| 100 | |
| 35 | |
| 112 | |
| 18 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 7 x 5
v = 35
If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{128} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h |
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2(π r2) + 2π rh |
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π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.