| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
A coordinate grid is composed of which of the following?
y-axis |
|
x-axis |
|
all of these |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 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, -3) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Simplify (6a)(7ab) + (8a2)(6b).
| 6ab2 | |
| 182ab2 | |
| 90a2b | |
| 90ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(6a)(7ab) + (8a2)(6b)
(6 x 7)(a x a x b) + (8 x 6)(a2 x b)
(42)(a1+1 x b) + (48)(a2b)
42a2b + 48a2b
90a2b
What is the area of a circle with a radius of 2?
| 25π | |
| 16π | |
| 36π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
The endpoints of this line segment are at (-2, -3) and (2, 5). What is the slope-intercept equation for this line?
| y = 3x + 4 | |
| y = -2x + 0 | |
| y = 2x + 1 | |
| y = 3x + 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 1. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x + 1