| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.66 |
| Score | 0% | 53% |
Find the value of c:
-8c + z = -6
3c - 5z = -7
| \(\frac{16}{27}\) | |
| 1 | |
| 1\(\frac{2}{7}\) | |
| -\(\frac{6}{31}\) |
You need to find the value of c so solve the first equation in terms of z:
-8c + z = -6
z = -6 + 8c
then substitute the result (-6 - -8c) into the second equation:
3c - 5(-6 + 8c) = -7
3c + (-5 x -6) + (-5 x 8c) = -7
3c + 30 - 40c = -7
3c - 40c = -7 - 30
-37c = -37
c = \( \frac{-37}{-37} \)
c = 1
The dimensions of this cube are height (h) = 6, length (l) = 3, and width (w) = 5. What is the surface area?
| 58 | |
| 158 | |
| 126 | |
| 318 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 5) + (2 x 5 x 6) + (2 x 3 x 6)
sa = (30) + (60) + (36)
sa = 126
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.
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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.