| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
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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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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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.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the lengths of all sides are equal |
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the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If a = c = 8, b = d = 4, what is the area of this rectangle?
| 28 | |
| 1 | |
| 81 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 4
a = 32
The dimensions of this trapezoid are a = 4, b = 7, c = 5, d = 9, and h = 3. What is the area?
| 15 | |
| 24 | |
| 16\(\frac{1}{2}\) | |
| 18 |
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(7 + 9)(3)
a = ½(16)(3)
a = ½(48) = \( \frac{48}{2} \)
a = 24
On this circle, a line segment connecting point A to point D is called:
chord |
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radius |
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circumference |
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diameter |
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).