| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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normalizing |
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squaring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify 2a x 7b.
| 14\( \frac{b}{a} \) | |
| 14\( \frac{a}{b} \) | |
| 9ab | |
| 14ab |
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.
2a x 7b = (2 x 7) (a x b) = 14ab
Solve -8a + 6a = -3a + 5x + 4 for a in terms of x.
| x - 1\(\frac{1}{3}\) | |
| x - 5 | |
| \(\frac{1}{5}\)x - \(\frac{4}{5}\) | |
| -\(\frac{4}{11}\)x - \(\frac{5}{11}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-8a + 6x = -3a + 5x + 4
-8a = -3a + 5x + 4 - 6x
-8a + 3a = 5x + 4 - 6x
-5a = -x + 4
a = \( \frac{-x + 4}{-5} \)
a = \( \frac{-x}{-5} \) + \( \frac{4}{-5} \)
a = \(\frac{1}{5}\)x - \(\frac{4}{5}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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4π r2 |
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π r2h2 |
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2(π r2) + 2π rh |
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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.