| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
The endpoints of this line segment are at (-2, -1) and (2, -3). What is the slope of this line?
| -1 | |
| -3 | |
| -\(\frac{1}{2}\) | |
| 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, -1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)A right angle measures:
360° |
|
90° |
|
45° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify 4a x 3b.
| 7ab | |
| 12a2b2 | |
| 12\( \frac{a}{b} \) | |
| 12ab |
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.
4a x 3b = (4 x 3) (a x b) = 12ab
A coordinate grid is composed of which of the following?
y-axis |
|
origin |
|
x-axis |
|
all of these |
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.
Simplify (6a)(4ab) - (3a2)(5b).
| 39ab2 | |
| -9ab2 | |
| 9a2b | |
| 80a2b |
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)(4ab) - (3a2)(5b)
(6 x 4)(a x a x b) - (3 x 5)(a2 x b)
(24)(a1+1 x b) - (15)(a2b)
24a2b - 15a2b
9a2b