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Elimination Method Practice

Solve systems of linear equations using the elimination method.

Grade 11 Math AlgebraSystems of EquationsElimination Method
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3 Short AnswerMultiple ChoiceTrue / FalseFill in the Blanks

Standards

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

Topics

AlgebraSystems of EquationsElimination MethodGrade 11
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Elimination Method Practice

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Solve each system of equations using the elimination method. Show all your work.

1. Solve the system:

x + y = 7

x - y = 3

2. Solve the system:

2x + 3y = 11

x - 2y = 2

3. Solve the system:

3x - 5y = -1

-2x + 4y = 2

4. Which system of equations would require multiplying both equations to eliminate a variable?

a

x + y = 5 x - y = 1

b

2x + y = 7 3x - y = 3

c

4x + 2y = 10 6x + 3y = 15

d

5x - 2y = 8 5x + 3y = 18

5. When using the elimination method, the goal is to make the coefficients of one variable opposites so they cancel out when the equations are added.

T

True

F

False

6. To eliminate the 'y' variable in the system: 3x + 2y = 10 5x - y = 3 you would multiply the second equation by  .