| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
Solve 4b - b = 7b + 5z + 4 for b in terms of z.
| 12z - 9 | |
| -2z - 1\(\frac{1}{3}\) | |
| -z - \(\frac{6}{11}\) | |
| \(\frac{1}{5}\)z - \(\frac{7}{10}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
4b - z = 7b + 5z + 4
4b = 7b + 5z + 4 + z
4b - 7b = 5z + 4 + z
-3b = 6z + 4
b = \( \frac{6z + 4}{-3} \)
b = \( \frac{6z}{-3} \) + \( \frac{4}{-3} \)
b = -2z - 1\(\frac{1}{3}\)
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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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 |
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) = 5 and radius (r) = 2. What is the volume?
| 20π | |
| 4π | |
| 1π | |
| 7π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 5)
v = 20π
What is 3a - 4a?
| -a2 | |
| 7 | |
| 12a2 | |
| -1a |
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.
3a - 4a = -1a
If a = 8, b = 5, c = 6, and d = 6, what is the perimeter of this quadrilateral?
| 23 | |
| 25 | |
| 22 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 5 + 6 + 6
p = 25