| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?
| 45π | |
| 4π | |
| 25π | |
| 192π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 1)
v = 4π
Which of the following statements about math operations is incorrect?
you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can multiply monomials that have different variables and different exponents |
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.
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Factor y2 - 10y + 24
| (y - 6)(y - 4) | |
| (y - 6)(y + 4) | |
| (y + 6)(y - 4) | |
| (y + 6)(y + 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 24 as well and sum (Inside, Outside) to equal -10. For this problem, those two numbers are -6 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 10y + 24
y2 + (-6 - 4)y + (-6 x -4)
(y - 6)(y - 4)
If a = 1, b = 5, c = 2, and d = 8, what is the perimeter of this quadrilateral?
| 20 | |
| 14 | |
| 25 | |
| 16 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 5 + 2 + 8
p = 16