| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is 3a - 2a?
| 1 | |
| a2 | |
| 1a | |
| 6a2 |
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 - 2a = 1a
Simplify (y + 2)(y - 2)
| y2 + 4y + 4 | |
| 91 | |
| y2 - 4y + 4 | |
| y2 - 4 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y - 2)
(y x y) + (y x -2) + (2 x y) + (2 x -2)
y2 - 2y + 2y - 4
y2 - 4
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
intersects |
|
bisects |
|
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.
What is the circumference of a circle with a diameter of 16?
| 16π | |
| 4π | |
| 13π | |
| 24π |
The formula for circumference is circle diameter x π:
c = πd
c = 16π
The endpoints of this line segment are at (-2, -8) and (2, 0). What is the slope-intercept equation for this line?
| y = 3x - 3 | |
| y = 2x - 4 | |
| y = x - 4 | |
| y = 2\(\frac{1}{2}\)x - 3 |
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 -4. 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, -8) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x - 4