| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 4. What is the surface area?
| 176π | |
| 18π | |
| 48π | |
| 40π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 1)
sa = 2π(16) + 2π(4)
sa = (2 x 16)π + (2 x 4)π
sa = 32π + 8π
sa = 40π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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First |
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Last |
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Odd |
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.
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
Solve for b:
3b + 2 = 3 + b
| -1\(\frac{1}{2}\) | |
| -1\(\frac{1}{4}\) | |
| \(\frac{1}{2}\) | |
| -\(\frac{2}{3}\) |
To solve this equation, 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.
3b + 2 = 3 + b
3b = 3 + b - 2
3b - b = 3 - 2
2b = 1
b = \( \frac{1}{2} \)
b = \(\frac{1}{2}\)
Solve 5a + 3a = 2a + 9y - 3 for a in terms of y.
| 2y - 1 | |
| -2y + 1\(\frac{1}{4}\) | |
| -\(\frac{3}{4}\)y - \(\frac{3}{4}\) | |
| -1\(\frac{1}{6}\)y + \(\frac{1}{6}\) |
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.
5a + 3y = 2a + 9y - 3
5a = 2a + 9y - 3 - 3y
5a - 2a = 9y - 3 - 3y
3a = 6y - 3
a = \( \frac{6y - 3}{3} \)
a = \( \frac{6y}{3} \) + \( \frac{-3}{3} \)
a = 2y - 1