Solving systems of equations worksheet with answers

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 the methods of elimination, substitution, matrix, cross-multiplication, Cramer's Rule, and graphing that are crucial for arriving 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 meticulously designed for 8th grade and high school students.

CCSS: HSA-REI.6

Packed in this compilation of printable worksheets on systems of equations are adequate exercises for 8th grade and high school students to check if the ordered pair is a solution to the pair of equations, determine the number of solutions, classify systems of equations as consistent, inconsistent, dependent or independent. Also, learn to solve a set of simultaneous equations with 2 and 3 variables using various methods. Begin solving systems of equations with our free worksheets!

Check whether the Ordered Pair is a Solution

Verify if the ordered pair is a solution to the system of equations by plugging it in the equations. Write 'yes' if the substitution proves both the equations true or else write 'no'. Make an attempt to write the systems of equations using the ordered pairs as well. This pdf resource is ideal for grade 8.

Unique solution, Infinite solutions or No Solution

State whether the systems of equations result in a unique solution, no solution or infinite solutions in this set of printable high school worksheets. Solve each pair of equations and label it based on the number of solutions.

Classify Consistent or Inconsistent

Figure out graphically or by using the coefficients, if each system of equations has a solution or not. Label the equation as 'consistent' if it has at least one solution and 'inconsistent' if it has no solution.

Determine Dependent or Independent

Consistent equations are classified as independent when they have exactly one solution with two lines intersecting at a point graphically; and dependent when they have infinite solutions and two superimposed lines when represented graphically.