| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
If a = c = 3, b = d = 2, what is the area of this rectangle?
| 7 | |
| 30 | |
| 6 | |
| 20 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
the area of a parallelogram is base x height |
|
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
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).
Simplify (2a)(4ab) - (9a2)(9b).
| 89a2b | |
| 73ab2 | |
| 108ab2 | |
| -73a2b |
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.
(2a)(4ab) - (9a2)(9b)
(2 x 4)(a x a x b) - (9 x 9)(a2 x b)
(8)(a1+1 x b) - (81)(a2b)
8a2b - 81a2b
-73a2b
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
|
you can multiply monomials that have different variables and different exponents |
|
you can subtract monomials that have the same variable and the same exponent |
|
all of these statements are correct |
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.