Elimination Method Practice Worksheet
Practice solving systems of linear equations using the elimination method for Grade 10 students.
Includes
Standards
Topics
Elimination Method Practice
Name:
Date:
Score:
Solve each system of linear equations using the elimination method. Show all your work.
1. Solve the following system of equations:
5x + 2y = 16
-5x + 3y = 4
2. Solve the following system of equations:
3x + 4y = 11
2x - 2y = 0
3. Solve the following system of equations:
2x - 3y = -1
4x + 9y = 13
Complete the blanks to describe the steps of the elimination method.
1. Multiply one or both equations by a constant if necessary, so that the of one variable are opposites.
2. the two equations to eliminate one variable.
3. Solve the resulting equation for the variable.
4. Substitute the value back into one of the equations to find the value of the other variable.
5. Check your solution in original equations.
Determine if the following statements about the elimination method are true or false.
1. The elimination method is only used for systems with two variables.
True
False
2. When using elimination, you always add the two equations together.
True
False
Related Worksheets
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Sigma Notation Practice
A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.
Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.