| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
A right angle measures:
180° |
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360° |
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90° |
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45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Which of the following statements about math operations is incorrect?
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 |
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all of these statements are correct |
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you can add 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.
Simplify (3a)(9ab) + (3a2)(8b).
| 3ab2 | |
| 51a2b | |
| -3a2b | |
| 132a2b |
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.
(3a)(9ab) + (3a2)(8b)
(3 x 9)(a x a x b) + (3 x 8)(a2 x b)
(27)(a1+1 x b) + (24)(a2b)
27a2b + 24a2b
51a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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trapezoid |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this trapezoid are a = 4, b = 4, c = 7, d = 7, and h = 3. What is the area?
| 14 | |
| 16\(\frac{1}{2}\) | |
| 9 | |
| 30 |
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 + 7)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)