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Solve 9b - 9b = 8b - 2z + 8 for b in terms of z.
| \(\frac{1}{6}\)z + \(\frac{2}{3}\) | |
| 7z + 8 | |
| \(\frac{4}{15}\)z + \(\frac{1}{15}\) | |
| 1\(\frac{1}{6}\)z - \(\frac{5}{6}\) |
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.
9b - 9z = 8b - 2z + 8
9b = 8b - 2z + 8 + 9z
9b - 8b = -2z + 8 + 9z
b = 7z + 8
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).
Solve for x:
8x - 2 = 8 + 5x
| \(\frac{3}{4}\) | |
| 2\(\frac{1}{4}\) | |
| 3\(\frac{1}{3}\) | |
| \(\frac{1}{3}\) |
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 equal sign and the answer on the other.
8x - 2 = 8 + 5x
8x = 8 + 5x + 2
8x - 5x = 8 + 2
3x = 10
x = \( \frac{10}{3} \)
x = 3\(\frac{1}{3}\)
The endpoints of this line segment are at (-2, 6) and (2, 2). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -1 | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)What is 4a - 6a?
| 10 | |
| -2 | |
| -2a | |
| 10a2 |
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 - 6a = -2a