| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
Solve for y:
6y - 4 = 2 + 5y
| -1\(\frac{1}{4}\) | |
| -2\(\frac{1}{3}\) | |
| 6 | |
| -2\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
6y - 4 = 2 + 5y
6y = 2 + 5y + 4
6y - 5y = 2 + 4
y = 6
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
origin |
|
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.
The endpoints of this line segment are at (-2, 4) and (2, -2). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -3 | |
| \(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) |
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, 4) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)What is 3a + 4a?
| 7a2 | |
| 12a2 | |
| -a2 | |
| 7a |
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 + 4a = 7a
What is the area of a circle with a diameter of 6?
| 81π | |
| 4π | |
| 64π | |
| 9π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π