| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
If a = 5, b = 9, c = 8, and d = 6, what is the perimeter of this quadrilateral?
| 15 | |
| 28 | |
| 32 | |
| 26 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 9 + 8 + 6
p = 28
The dimensions of this cylinder are height (h) = 8 and radius (r) = 6. What is the surface area?
| 36π | |
| 20π | |
| 180π | |
| 168π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 8)
sa = 2π(36) + 2π(48)
sa = (2 x 36)π + (2 x 48)π
sa = 72π + 96π
sa = 168π
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
squaring |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for z:
-z + 2 = \( \frac{z}{-7} \)
| -1\(\frac{1}{2}\) | |
| \(\frac{7}{9}\) | |
| 2\(\frac{1}{3}\) | |
| -2\(\frac{4}{7}\) |
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.
-z + 2 = \( \frac{z}{-7} \)
-7 x (-z + 2) = z
(-7 x -z) + (-7 x 2) = z
7z - 14 = z
7z - 14 - z = 0
7z - z = 14
6z = 14
z = \( \frac{14}{6} \)
z = 2\(\frac{1}{3}\)
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 subtract 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 |
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.