| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, -3) and (2, -5). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 4 | |
| y = 3x + 3 | |
| y = 1\(\frac{1}{2}\)x + 3 | |
| y = -3x + 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 -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, -3) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x - 4
Which of the following expressions contains exactly two terms?
quadratic |
|
polynomial |
|
monomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
|
the lengths of all sides are equal |
|
all interior angles are right angles |
|
the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
On this circle, a line segment connecting point A to point D is called:
radius |
|
chord |
|
diameter |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
What is 2a - 9a?
| -7a | |
| a2 | |
| -7 | |
| 18a |
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.
2a - 9a = -7a