| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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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).
Solve for x:
-7x - 3 > -6 - 3x
| x > \(\frac{3}{4}\) | |
| x > \(\frac{1}{3}\) | |
| x > -\(\frac{7}{8}\) | |
| x > -5 |
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.
-7x - 3 > -6 - 3x
-7x > -6 - 3x + 3
-7x + 3x > -6 + 3
-4x > -3
x > \( \frac{-3}{-4} \)
x > \(\frac{3}{4}\)
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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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 |
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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.
Simplify (y - 8)(y - 7)
| y2 - 15y + 56 | |
| y2 - y - 56 | |
| y2 + 15y + 56 | |
| y2 + y - 56 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 8)(y - 7)
(y x y) + (y x -7) + (-8 x y) + (-8 x -7)
y2 - 7y - 8y + 56
y2 - 15y + 56
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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addition |
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division |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)