| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π r |
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a = π d2 |
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.
What is 6a8 - 7a8?
| -a16 | |
| -1a8 | |
| -1 | |
| 42a16 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a8 - 7a8 = -1a8
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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area = ½bh |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Simplify (y + 2)(y - 6)
| y2 + 8y + 12 | |
| y2 - 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 4y - 12 |
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 + 2)(y - 6)
(y x y) + (y x -6) + (2 x y) + (2 x -6)
y2 - 6y + 2y - 12
y2 - 4y - 12
Simplify (7a)(2ab) - (5a2)(6b).
| 44ab2 | |
| 16ab2 | |
| -16a2b | |
| 44a2b |
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.
(7a)(2ab) - (5a2)(6b)
(7 x 2)(a x a x b) - (5 x 6)(a2 x b)
(14)(a1+1 x b) - (30)(a2b)
14a2b - 30a2b
-16a2b