| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
Solve for b:
-5b - 8 = \( \frac{b}{-7} \)
| -1\(\frac{11}{17}\) | |
| 4\(\frac{4}{7}\) | |
| -1\(\frac{1}{7}\) | |
| -\(\frac{14}{19}\) |
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.
-5b - 8 = \( \frac{b}{-7} \)
-7 x (-5b - 8) = b
(-7 x -5b) + (-7 x -8) = b
35b + 56 = b
35b + 56 - b = 0
35b - b = -56
34b = -56
b = \( \frac{-56}{34} \)
b = -1\(\frac{11}{17}\)
The dimensions of this trapezoid are a = 6, b = 4, c = 9, d = 2, and h = 5. What is the area?
| 12 | |
| 15 | |
| 18 | |
| 25 |
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(4 + 2)(5)
a = ½(6)(5)
a = ½(30) = \( \frac{30}{2} \)
a = 15
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 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 |
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.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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a2 - c2 |
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c2 + a2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)