Systems of Equations Worksheets | Simultaneous Equations
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!
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.
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.
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.
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.
Employ methods like graphing, substitution, cross-multiplication, elimination, Cramer's Rule to solve pairs of simultaneous equations with 2 variables. Find PDFs to solve reciprocal equations as well.
Bolster skills with this batch of high school worksheets on solving simultaneous equations featuring 3 variables.