| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.40 |
| Score | 0% | 48% |
If a = c = 7, b = d = 8, and the blue angle = 80°, what is the area of this parallelogram?
| 56 | |
| 9 | |
| 36 | |
| 30 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
The formula for the area of a circle is which of the following?
c = π r2 |
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c = π r |
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c = π d |
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c = 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.
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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you can multiply monomials that have different variables and different exponents |
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you can add monomials that have the same variable and the same exponent |
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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.
On this circle, a line segment connecting point A to point D is called:
diameter |
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circumference |
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chord |
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radius |
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).
Solve 6b - b = 3b + 2x - 2 for b in terms of x.
| 7\(\frac{1}{2}\)x - 3 | |
| 3\(\frac{3}{4}\)x - 2 | |
| x - \(\frac{2}{3}\) | |
| 6x + 6 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
6b - x = 3b + 2x - 2
6b = 3b + 2x - 2 + x
6b - 3b = 2x - 2 + x
3b = 3x - 2
b = \( \frac{3x - 2}{3} \)
b = \( \frac{3x}{3} \) + \( \frac{-2}{3} \)
b = x - \(\frac{2}{3}\)