System of linear equations unit test maty

Answer 1

Please see below for a sample unit test on solving systems of linear equations.

1. Solve the following system of equations using substitution:
-2x + 3y = 7
4x - y = 5

2. Solve the following system of equations using elimination:
2x + 3y = 11
4x - 2y = 10

3. Solve the following system of equations using the method of your choice:
3x + 2y = 8
2x - 3y = -5

4. Determine if the following system of equations has one solution, no solution, or infinitely many solutions:
x + y = 5
2x + 2y = 10

5. Write a system of equations to represent the following situation and solve it:
A man has some $10 bills and some $5 bills. He has a total of $80 in 12 bills. How many of each type of bill does he have?

6. In a different system of equations, the solution is (3, -2). Determine the equations of the two lines.

7. A system of equations has a determinant of 0. What does this indicate about the solutions of the system?