| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.59 |
| Score | 0% | 52% |
A(n) __________ is two expressions separated by an equal sign.
equation |
|
problem |
|
formula |
|
expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| -2 | |
| -3 | |
| 1\(\frac{1}{2}\) | |
| -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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
midpoints |
|
intersects |
|
trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for a:
-8a + 2 < -5 - 3a
| a < 1\(\frac{4}{5}\) | |
| a < -1\(\frac{1}{5}\) | |
| a < 1\(\frac{2}{5}\) | |
| a < 1 |
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 < sign and the answer on the other.
-8a + 2 < -5 - 3a
-8a < -5 - 3a - 2
-8a + 3a < -5 - 2
-5a < -7
a < \( \frac{-7}{-5} \)
a < 1\(\frac{2}{5}\)
Solve -8a + 8a = -9a - 2y - 4 for a in terms of y.
| 11y + 2 | |
| -\(\frac{4}{7}\)y - \(\frac{1}{2}\) | |
| -\(\frac{8}{9}\)y - \(\frac{1}{3}\) | |
| -10y - 4 |
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.
-8a + 8y = -9a - 2y - 4
-8a = -9a - 2y - 4 - 8y
-8a + 9a = -2y - 4 - 8y
a = -10y - 4