| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Which of the following statements about math operations is incorrect?
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 |
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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.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
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lw x wh + lh |
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2lw x 2wh + 2lh |
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h2 x l2 x w2 |
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.
Simplify (7a)(9ab) + (9a2)(8b).
| -9ab2 | |
| 9a2b | |
| 9ab2 | |
| 135a2b |
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.
(7a)(9ab) + (9a2)(8b)
(7 x 9)(a x a x b) + (9 x 8)(a2 x b)
(63)(a1+1 x b) + (72)(a2b)
63a2b + 72a2b
135a2b
The dimensions of this trapezoid are a = 6, b = 9, c = 9, d = 7, and h = 4. What is the area?
| 36 | |
| 15 | |
| 40 | |
| 32 |
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(9 + 7)(4)
a = ½(16)(4)
a = ½(64) = \( \frac{64}{2} \)
a = 32
On this circle, line segment AB is the:
radius |
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diameter |
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circumference |
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chord |
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).