| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 1 | |
| y = \(\frac{1}{2}\)x + 2 | |
| y = 2\(\frac{1}{2}\)x - 2 | |
| y = 2x - 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 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, 1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 2
What is 6a + 5a?
| 11a | |
| a2 | |
| 11a2 | |
| 1 |
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.
6a + 5a = 11a
Solve for x:
-x - 1 < -3 - 2x
| x < 1\(\frac{1}{4}\) | |
| x < \(\frac{7}{8}\) | |
| x < -2 | |
| x < 1\(\frac{2}{3}\) |
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 < sign and the answer on the other.
-x - 1 < -3 - 2x
-x < -3 - 2x + 1
-x + 2x < -3 + 1
x < -2
If AD = 26 and BD = 16, AB = ?
| 17 | |
| 4 | |
| 13 | |
| 10 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDBreaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
factoring |
|
normalizing |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.