| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
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.
On this circle, line segment CD is the:
circumference |
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diameter |
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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).
Simplify (5a)(6ab) - (4a2)(9b).
| -6a2b | |
| 143ab2 | |
| 66ab2 | |
| 66a2b |
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.
(5a)(6ab) - (4a2)(9b)
(5 x 6)(a x a x b) - (4 x 9)(a2 x b)
(30)(a1+1 x b) - (36)(a2b)
30a2b - 36a2b
-6a2b
If a = c = 1, b = d = 9, and the blue angle = 70°, what is the area of this parallelogram?
| 8 | |
| 24 | |
| 15 | |
| 9 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9
The dimensions of this trapezoid are a = 5, b = 5, c = 6, d = 2, and h = 3. What is the area?
| 13\(\frac{1}{2}\) | |
| 12 | |
| 24 | |
| 10\(\frac{1}{2}\) |
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(5 + 2)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)