Solving Linear Systems Unit Pre Test

Graph the following linear system: y = 2x + 3 and y = -3x + 5. Identify the solution to the system.

• The solution to the system is (-2, 7).

• The solution to the system is (2, 7).

• The solution to the system is (3, 5).

• The solution to the system is (0, 3).

Graph the linear system: 2x - 3y = 6 and 4x + y = 8. Determine the solution using the graphical method.

• The solution is (5, 1)

• The solution is (0, 4)

• The solution is (2, 3)

• The solution is (3, -2)

Solve the following linear system by graphing: y = 3x - 2 and y = -2x + 4. What is the solution to the system?

• The solution to the system is (1, 1).

• The solution to the system is (3, 6).

• The solution to the system is (2, 4).

• The solution to the system is (0, 0).

Graph the linear system: 5x + 2y = 10 and 3x - 4y = 12. Find the solution using the graphical method.

• (4, -3)

• The solution using the graphical method is (2, 1).

• (3, 2)

• (0, 5)

Determine the solution to the linear system by graphing: y = -2x + 1 and 2x + y = 4. Graph the lines and find the point of intersection.

• The point of intersection is (0, 1).

• The point of intersection is (2, -3).

• The point of intersection is (3, 2).

• The point of intersection is (1, 0).

Use the elimination method to solve the linear system: 3x + 2y = 11 and 2x - 3y = 4. What are the values of x and y in the solution?

• x = 1, y = 4

• x = 5, y = 7

• x = 0, y = 0

• x = 3, y = 2

Solve the following linear system using the elimination method: 4x - 3y = 5 and 2x + 5y = 3. Show the steps of elimination and find the solution.

• The solution is x = -2 and y = 4

• The solution is x = 3 and y = -1

• The solution is x = 1 and y = 1

• The solution is x = 5 and y = 2

Apply the elimination method to solve the linear system: 6x + 4y = 18 and 3x - 2y = 7. Determine the values of x and y in the solution.

• x = 5, y = 1

• x = 3, y = 2

• x = 7, y = 3

• x = 2, y = 4

Using the elimination method, solve the linear system: 5x - 2y = 9 and 4x + 3y = 1. Show the steps of elimination and find the solution.

• The solution is x = 5 and y = 2.

• The solution is x = 3 and y = -4.

• The solution is x = 2 and y = 4.

• The solution is x = -1 and y = 6.

What is the Equation of the Graph?

• y > 1x + 1

• y < 1x - 1

• y > -1x + 1

• y < -1x + 1