| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
|
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 |
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.
If a = c = 9, b = d = 10, what is the area of this rectangle?
| 90 | |
| 28 | |
| 49 | |
| 36 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
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a2 - c2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the volume?
| 9π | |
| 125π | |
| 112π | |
| 25π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 7)
v = 112π
If angle a = 41° and angle b = 63° what is the length of angle c?
| 76° | |
| 126° | |
| 95° | |
| 78° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 41° - 63° = 76°