| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Which of the following statements about math operations is incorrect?
you can add 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 subtract 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.
Solve for c:
9c - 9 > \( \frac{c}{3} \)
| c > -1\(\frac{1}{34}\) | |
| c > -1\(\frac{5}{9}\) | |
| c > -\(\frac{8}{9}\) | |
| c > 1\(\frac{1}{26}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
9c - 9 > \( \frac{c}{3} \)
3 x (9c - 9) > c
(3 x 9c) + (3 x -9) > c
27c - 27 > c
27c - 27 - c > 0
27c - c > 27
26c > 27
c > \( \frac{27}{26} \)
c > 1\(\frac{1}{26}\)
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
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area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Which of the following statements about a parallelogram is not true?
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 |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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).
If a = c = 2, b = d = 1, and the blue angle = 66°, what is the area of this parallelogram?
| 1 | |
| 2 | |
| 20 | |
| 9 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 1
a = 2