Grade 11 Linear Systems Worksheet
A worksheet for Grade 11 students to practice solving linear systems using various methods including graphing, substitution, and elimination.
Includes
Standards
Topics
Linear Systems Practice
Name:
Date:
Score:
Solve the following linear systems using the indicated method. Show all your work.
1. Solve the following system by graphing:
y = 2x - 3
y = -x + 6
2. Solve the following system using the substitution method:
x + 3y = 7
2x - 4y = 2
3. Solve the following system using the elimination method:
3x + 2y = 10
5x - 3y = 1
4. Which of the following is the solution to the system: x + y = 5 and x - y = 1?
(2, 3)
(3, 2)
(4, 1)
(1, 4)
5. A system of linear equations with no solution is called an system.
6. When solving a system by graphing, the solution is the point of of the lines.
7. A consistent system of linear equations has at least one solution.
True
False
8. Parallel lines in a system of linear equations indicate infinite solutions.
True
False
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