| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
On this circle, a line segment connecting point A to point D is called:
radius |
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chord |
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circumference |
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diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The formula for the area of a circle is which of the following?
c = π r |
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c = π d |
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c = π d2 |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Simplify (y - 3)(y - 6)
| y2 - 3y - 18 | |
| y2 - 9y + 18 | |
| y2 + 9y + 18 | |
| y2 + 3y - 18 |
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 - 3)(y - 6)
(y x y) + (y x -6) + (-3 x y) + (-3 x -6)
y2 - 6y - 3y + 18
y2 - 9y + 18
Simplify (2a)(8ab) + (3a2)(2b).
| 50a2b | |
| 22a2b | |
| -10a2b | |
| 50ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(8ab) + (3a2)(2b)
(2 x 8)(a x a x b) + (3 x 2)(a2 x b)
(16)(a1+1 x b) + (6)(a2b)
16a2b + 6a2b
22a2b
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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all of these statements are correct |
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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 |
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.