| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d2 |
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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.
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following statements about math operations is incorrect?
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 |
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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.
The dimensions of this trapezoid are a = 5, b = 8, c = 8, d = 8, and h = 3. What is the area?
| 25\(\frac{1}{2}\) | |
| 14 | |
| 24 | |
| 9 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 8)(3)
a = ½(16)(3)
a = ½(48) = \( \frac{48}{2} \)
a = 24
Solve for z:
-4z + 4 = \( \frac{z}{4} \)
| -\(\frac{18}{25}\) | |
| \(\frac{16}{17}\) | |
| -\(\frac{16}{35}\) | |
| -1\(\frac{1}{19}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-4z + 4 = \( \frac{z}{4} \)
4 x (-4z + 4) = z
(4 x -4z) + (4 x 4) = z
-16z + 16 = z
-16z + 16 - z = 0
-16z - z = -16
-17z = -16
z = \( \frac{-16}{-17} \)
z = \(\frac{16}{17}\)