| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Solve -9b - 3b = 8b + 4y - 5 for b in terms of y.
| -\(\frac{2}{7}\)y - \(\frac{9}{14}\) | |
| y - \(\frac{8}{13}\) | |
| y - 4 | |
| -\(\frac{7}{17}\)y + \(\frac{5}{17}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-9b - 3y = 8b + 4y - 5
-9b = 8b + 4y - 5 + 3y
-9b - 8b = 4y - 5 + 3y
-17b = 7y - 5
b = \( \frac{7y - 5}{-17} \)
b = \( \frac{7y}{-17} \) + \( \frac{-5}{-17} \)
b = -\(\frac{7}{17}\)y + \(\frac{5}{17}\)
A(n) __________ is two expressions separated by an equal sign.
expression |
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problem |
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formula |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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π r2h |
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2(π r2) + 2π rh |
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4π r2 |
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.
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If a = 1, b = 7, c = 4, and d = 6, what is the perimeter of this quadrilateral?
| 18 | |
| 24 | |
| 19 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 7 + 4 + 6
p = 18