| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
What is 4a - 2a?
| 8a | |
| 6a2 | |
| 8a2 | |
| 2a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a - 2a = 2a
What is 8a + 5a?
| 13a | |
| 3 | |
| 13a2 | |
| 40a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 5a = 13a
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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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).
The dimensions of this cylinder are height (h) = 4 and radius (r) = 9. What is the surface area?
| 208π | |
| 112π | |
| 24π | |
| 234π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π
Solve -6a + 4a = 8a - 2z + 1 for a in terms of z.
| \(\frac{3}{7}\)z - \(\frac{1}{14}\) | |
| -1\(\frac{1}{2}\)z - 1 | |
| -\(\frac{2}{5}\)z + \(\frac{2}{5}\) | |
| -\(\frac{2}{3}\)z + \(\frac{5}{9}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-6a + 4z = 8a - 2z + 1
-6a = 8a - 2z + 1 - 4z
-6a - 8a = -2z + 1 - 4z
-14a = -6z + 1
a = \( \frac{-6z + 1}{-14} \)
a = \( \frac{-6z}{-14} \) + \( \frac{1}{-14} \)
a = \(\frac{3}{7}\)z - \(\frac{1}{14}\)