| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π r2 |
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a = π d |
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a = π r |
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 (9a)(2ab) - (6a2)(6b).
| -18a2b | |
| 54ab2 | |
| 132a2b | |
| 18ab2 |
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.
(9a)(2ab) - (6a2)(6b)
(9 x 2)(a x a x b) - (6 x 6)(a2 x b)
(18)(a1+1 x b) - (36)(a2b)
18a2b - 36a2b
-18a2b
If a = c = 8, b = d = 3, what is the area of this rectangle?
| 48 | |
| 6 | |
| 7 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 3
a = 24
Simplify (y + 9)(y + 6)
| y2 - 3y - 54 | |
| y2 - 15y + 54 | |
| y2 + 3y - 54 | |
| y2 + 15y + 54 |
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 + 6)
(y x y) + (y x 6) + (9 x y) + (9 x 6)
y2 + 6y + 9y + 54
y2 + 15y + 54
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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all of these statements are correct |
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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 |
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.