Lesson 12: Systems of Equations | Unit 4: Linear Equations and Linear Systems

Multiple Choice

Here is the graph for one equation in a system of equations: Which of the following is a second equation for the system so that the system has infinitely many solutions?

• y = x + 2
• y = -2x + 4
• y = 2x - 4
• y = -3x + 1

Multiple Choice

Here is the graph for one equation in a system of equations:  Which of the following is a second equation for the system so that the system has no solutions, and the line representing the new equation goes through the point $$(0,1)$$ ?

• y = mx + 1 (where m is the slope of the original line)
• y = 2x + 1
• y = -3x + 1
• y = 0.5x + 1

Multiple Choice

Here is the graph for one equation in a system of equations:  Which of the following is a second equation for the system so that the system has a solution at $$(4,1)$$ , and the line representing the new equation goes through the point $$(0,2)$$ ?

• y = -1/4x + 2
• y = 2x - 8
• y = 3/4x + 1
• y = -2x + 6

Multiple Choice

Create a second equation so the system has no solutions. Given the equation: y=3/4x -4

• y=3/4x + 1
• y=3/4x + 5
• y=2x - 4
• y=3/4x - 2

Multiple Choice

Here is the graph for one equation in a system of equations. Which of the following is a second equation for the system so it has infinitely many solutions?

• y = 2x - 3
• y = -2x + 1
• y = 3x + 2
• y = x - 4

Multiple Choice

Which of the following equations, when graphed, goes through (0,2) and ensures the system has no solutions?

• y = -x + 2
• y = x + 2
• y = 2
• y = -2x + 2

Multiple Choice

Which of the following equations, when graphed, goes through (2,2) and forms a system with one solution at (4,3)?

• y = 2x - 2
• y = (1/2)x + 1
• y = -x + 5
• y = (3/2)x - 1