| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If a = c = 1, b = d = 2, and the blue angle = 65°, what is the area of this parallelogram?
| 12 | |
| 56 | |
| 9 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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2(π r2) + 2π rh |
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π r2h |
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4π r2 |
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.
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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you can subtract monomials that have the same variable and the same exponent |
|
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.
Simplify (y - 9)(y - 5)
| y2 - 4y - 45 | |
| y2 + 14y + 45 | |
| y2 - 14y + 45 | |
| y2 + 4y - 45 |
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:
(y - 9)(y - 5)
(y x y) + (y x -5) + (-9 x y) + (-9 x -5)
y2 - 5y - 9y + 45
y2 - 14y + 45
If angle a = 64° and angle b = 31° what is the length of angle d?
| 143° | |
| 137° | |
| 139° | |
| 116° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 64° - 31° = 85°
So, d° = 31° + 85° = 116°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 64° = 116°