| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
Simplify (5a)(2ab) + (6a2)(3b).
| 63ab2 | |
| 28a2b | |
| 28ab2 | |
| 63a2b |
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)(2ab) + (6a2)(3b)
(5 x 2)(a x a x b) + (6 x 3)(a2 x b)
(10)(a1+1 x b) + (18)(a2b)
10a2b + 18a2b
28a2b
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 cube are height (h) = 1, length (l) = 6, and width (w) = 1. What is the volume?
| 144 | |
| 120 | |
| 63 | |
| 6 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 6 x 1
v = 6
If a = c = 1, b = d = 2, and the blue angle = 52°, what is the area of this parallelogram?
| 27 | |
| 72 | |
| 2 | |
| 16 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).