| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
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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4π r2 |
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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.
Solve 8a - 3a = 5a + 6x - 1 for a in terms of x.
| 3x - 3 | |
| \(\frac{5}{7}\)x - \(\frac{1}{7}\) | |
| 3x - \(\frac{1}{3}\) | |
| -1\(\frac{5}{8}\)x - 1 |
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 - 3x = 5a + 6x - 1
8a = 5a + 6x - 1 + 3x
8a - 5a = 6x - 1 + 3x
3a = 9x - 1
a = \( \frac{9x - 1}{3} \)
a = \( \frac{9x}{3} \) + \( \frac{-1}{3} \)
a = 3x - \(\frac{1}{3}\)
The dimensions of this cylinder are height (h) = 8 and radius (r) = 8. What is the surface area?
| 144π | |
| 256π | |
| 120π | |
| 56π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 8)
sa = 2π(64) + 2π(64)
sa = (2 x 64)π + (2 x 64)π
sa = 128π + 128π
sa = 256π
What is 5a - 4a?
| 1a | |
| 9 | |
| 1 | |
| 20a |
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.
5a - 4a = 1a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
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First |
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Odd |
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Inside |
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.