1. Solve the following equations and graph the solutions:
a) 3x + 2y = 6
b) 2x - y = 4
2. Find the slope-intercept form of the equation given the slope and y-intercept:
a) Slope = 2, Y-intercept = 4
b) Slope = -3, Y-intercept = -2
3. Solve the following system of equations:
a) 4x - 2y = 8
2x + y = 5
b) 3x + 2y = 10
x - 3y = -6
4. Determine if the lines represented by the following equations are parallel, perpendicular, or neither:
a) 3x + 2y = 6
6x - 4y = 8
b) 2x - 3y = 4
3x + 2y = 5
5. Find the x and y intercepts of the equation:
a) 4x - 2y = 8
b) 3x + y = 6
6. Write an equation in slope-intercept form for the line passing through the points (-2, 3) and (4, -1).
7. Determine if the following point lies on the line defined by the equation:
a) Point (2, 5) and equation 3x - 2y = 1
b) Point (0, -3) and equation 2x + y = -7
8. Solve the following word problem using linear equations:
A company charges a $500 installation fee plus $50 per month for their service. Write an equation to represent the total cost y after x months. How much would it cost after 8 months?
Graphic linear equations unit test
1 answer