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.

Grade 12 Math AlgebraSystems of EquationsElimination Method

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3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.C.5CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

AlgebraSystems of EquationsElimination MethodGrade 12

8 sections · Free to use · Printable

Elimination Method Practice

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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