| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
Solve for y:
3y - 5 = \( \frac{y}{2} \)
| 2 | |
| 1\(\frac{8}{41}\) | |
| 1\(\frac{16}{19}\) | |
| 1\(\frac{7}{25}\) |
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.
3y - 5 = \( \frac{y}{2} \)
2 x (3y - 5) = y
(2 x 3y) + (2 x -5) = y
6y - 10 = y
6y - 10 - y = 0
6y - y = 10
5y = 10
y = \( \frac{10}{5} \)
y = 2
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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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 endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope of this line?
| 2 | |
| 1\(\frac{1}{2}\) | |
| 3 | |
| -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, -5) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)If BD = 12 and AD = 15, AB = ?
| 5 | |
| 3 | |
| 1 | |
| 9 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD