| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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 3a x 4b.
| 12ab | |
| 12a2b2 | |
| 12\( \frac{b}{a} \) | |
| 7ab |
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.
3a x 4b = (3 x 4) (a x b) = 12ab
If c = -2 and y = -3, what is the value of -7c(c - y)?
| 14 | |
| 315 | |
| 408 | |
| -32 |
To solve this equation, 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.)
-7c(c - y)
-7(-2)(-2 + 3)
-7(-2)(1)
(14)(1)
14
Solve 4c + 9c = 3c + 7y + 7 for c in terms of y.
| -1\(\frac{1}{2}\)y - \(\frac{1}{2}\) | |
| \(\frac{3}{4}\)y - \(\frac{1}{2}\) | |
| \(\frac{2}{11}\)y + \(\frac{2}{11}\) | |
| -2y + 7 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
4c + 9y = 3c + 7y + 7
4c = 3c + 7y + 7 - 9y
4c - 3c = 7y + 7 - 9y
c = -2y + 7
If side x = 12cm, side y = 13cm, and side z = 9cm what is the perimeter of this triangle?
| 26cm | |
| 34cm | |
| 25cm | |
| 39cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 13cm + 9cm = 34cm