Grade 12 Elimination Method Worksheet
This worksheet provides practice problems for solving systems of linear equations using the elimination method, suitable for Grade 12 students.
Includes
Standards
Topics
Elimination Method Practice
Name:
Date:
Score:
Solve each system of linear equations using the elimination method. Show all your work in the space provided.
1. Solve the following system of equations:
2x + 3y = 7
4x - 3y = 5
2. Solve the following system of equations:
5x + 2y = 11
3x + 4y = 9
3. Solve the following system of equations:
6x - 5y = -3
-2x + 7y = -13
4. Which of the following is the first step to solve the system using elimination?
x + 2y = 5
3x - y = 1
Multiply the first equation by 3
Multiply the second equation by 2
Add the two equations together
Substitute y from the second equation into the first
5. To eliminate a variable in a system of equations, the coefficients of that variable must be and .
6. The elimination method can only be used when the coefficients of one variable are exact opposites.
True
False
Related Worksheets
Perfect Square Trinomials
This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 12 Algebra students.
Finding Polynomial Functions from Graphs
Grade 12 math worksheet on determining polynomial functions given their graphs, focusing on roots, multiplicity, and end behavior.
Combining Polynomials Worksheet
Grade 12 math worksheet on combining polynomials, including addition, subtraction, multiplication, and division.
Equations with Infinite and No Solutions
Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.
Grade 12: Rearranging Equations
This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.
Grade 12: Rearranging Equations
This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.
Direct Variation Worksheet
A Grade 12 mathematics worksheet focusing on direct variation, including identifying direct variation, writing equations, and solving problems.