Systems of Linear Equations Worksheets

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Walk through our printable solving systems of equations worksheets to learn the ins and outs of solving a set of linear equations. Ensure students are thoroughly informed of Cramer's Rule and the methods of elimination, substitution, matrix, cross-multiplication, and graphing - all crucial for them to arrive at the solutions. Reaffirm skills in graphing the equation of a line as a prerequisite to solve the pairs of simultaneous equations by graphing them.

This array of free pdf worksheets is designed for 8th grade and high school students.


Check Whether the Ordered Pair Is a Solution

Identify the x-value and y-value in the ordered pair and substitute the values in both equations. If the ordered pair satisfies the given system of equations, then it is the solution.

A Unique Solution, Infinitely Many Solutions, or No Solution

Train 8th-grade students to find whether the given pair of linear equations has a unique solution, no solution, or infinitely many solutions.

Consistent or Inconsistent

Figure out whether the given system of equations is consistent or inconsistent. A system of equations is consistent if it has at least one solution; it is inconsistent if it doesn't have any solution.

Dependent or Independent

Designed to meticulously conform with CCSS, this set of printable worksheets provides adequate practice for grade 8 students to classify the consistent equations into dependent and independent.

Solving Systems of Equations | Graphing Method

Find the solution of the systems of simultaneous equations by graphing the two lines, finding their point of intersection, and writing the x and y coordinates from each ordered pair.

Solving Systems of Equations | Two Variables

A feast of systems of linear equations, these worksheets provide essential practice for high school students in solving pairs of simultaneous equations with two variables.

Solving Systems of Equations | Three Variables

Bolster skills in various methods of solving systems of linear equations with these pdfs featuring three variables. You are free to use elimination, substitution, or any other appropriate method to find the value of the variables.