| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
A coordinate grid is composed of which of the following?
x-axis |
|
y-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.
Simplify (y + 2)(y + 8)
| y2 - 6y - 16 | |
| y2 - 10y + 16 | |
| y2 + 10y + 16 | |
| y2 + 6y - 16 |
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 + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16
Simplify 6a x 8b.
| 48ab | |
| 48a2b2 | |
| 48\( \frac{b}{a} \) | |
| 14ab |
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 x 8b = (6 x 8) (a x b) = 48ab
If side x = 14cm, side y = 15cm, and side z = 6cm what is the perimeter of this triangle?
| 33cm | |
| 30cm | |
| 24cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 15cm + 6cm = 35cm
The endpoints of this line segment are at (-2, 5) and (2, -3). What is the slope-intercept equation for this line?
| y = -2x + 1 | |
| y = 3x - 2 | |
| y = 2\(\frac{1}{2}\)x + 1 | |
| y = -3x - 4 |
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, 5) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x + 1