| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.76 |
| Score | 0% | 55% |
The formula for the area of a circle is which of the following?
c = π r |
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c = π d2 |
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c = π d |
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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.
Solve for z:
z2 + 9z + 14 = 0
| 3 or -9 | |
| 5 or 1 | |
| -4 or -7 | |
| -2 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 9z + 14 = 0
(z + 2)(z + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 2) or (z + 7) must equal zero:
If (z + 2) = 0, z must equal -2
If (z + 7) = 0, z must equal -7
So the solution is that z = -2 or -7
Simplify (y - 7)(y - 8)
| y2 + 15y + 56 | |
| y2 - y - 56 | |
| y2 + y - 56 | |
| y2 - 15y + 56 |
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 - 7)(y - 8)
(y x y) + (y x -8) + (-7 x y) + (-7 x -8)
y2 - 8y - 7y + 56
y2 - 15y + 56
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
What is 7a - 4a?
| a2 | |
| 28a | |
| 3a | |
| 3 |
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.
7a - 4a = 3a