Grade 8 Linear Systems Worksheet
A comprehensive worksheet for 8th-grade students covering linear systems, including solving by graphing, substitution, and elimination.
Includes
Standards
Topics
Linear Systems Review
Name:
Date:
Score:
Read each question carefully and solve the linear systems using the indicated method. Show all your work.
1. Solve the following system of equations by graphing. Plot both lines on the coordinate plane provided and identify the intersection point.
Equation 1: y = 2x - 3
Equation 2: y = -x + 3
Solution (x, y):
2. Solve the following system of equations using the substitution method.
Equation 1: x + y = 7
Equation 2: y = 3x - 5
Substitute Equation 2 into Equation 1:
Solve for x:
Substitute the value of x back into Equation 2:
Solve for y:
Solution (x, y):
3. Solve the following system of equations using the elimination method.
Equation 1: 2x + y = 10
Equation 2: x - y = 2
Show your work below:
Solution (x, y):
4. A system of linear equations can have exactly two solutions.
True
False
5. If two lines in a system of equations are parallel, they have no solution.
True
False
6. Which of the following ordered pairs is a solution to the system: x + 2y = 8 3x - y = 3
(2, 3)
(4, 2)
(0, 4)
(1, 5)