Free Printable WorksheetMathGrade 8Math Curriculum8.EE.C.8b

8.74 Solving Systems of Equations by Elimination Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.74 Solving Systems of Equations by Elimination. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.74 Solving Systems of Equations by Elimination - Which ordered pair is the correct solution when the system is solved by elimination? (CCSS 8.EE.C.8b; CA 8.EE.C.8b; MA 8.EE.C.8b)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

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Below are sample questions representative of the exercises included on this worksheet and related 8.74 Solving Systems of Equations by Elimination skill assessments:

Problem 1Difficulty: Hard
Find the solution to this system by elimination: 6x + 3y = -11 and 9x + 6y = -17.
A(-5/3, -1/3)
B(-1/3, -5/3)
C(-5/3, 1/3)
D(5/3, -1/3)
Solution & Explanation:First, multiply the first equation by 2. Then subtract the equations to eliminate y. This gives 3x = -5, so x = -5/3. Substitute x = -5/3 into either original equation to get y = -1/3. The solution is (-5/3, -1/3).
Problem 2Difficulty: Hard
A student uses elimination on the system 6x + 10y = y + 20 and 7x - 2y = 15. What solution should the student find?
A(7/3, -2/3)
B(7/3, 2/3)
C(-7/3, 2/3)
D(2/3, 7/3)
Solution & Explanation:First simplify to 6x + 9y = 20 and 7x - 2y = 15. First, multiply the first equation by 2 and multiply the second equation by 9. Then add the equations to eliminate y. This gives 75x = 175, so x = 7/3. Substitute x = 7/3 into either original equation to get y = 2/3. The solution is (7/3, 2/3).
Problem 3Difficulty: Hard
When this system is solved by elimination, what ordered pair is the solution? 6x + 3y = 6 and 5x + 4y = 3.
A(5/3, 4/3)
B(-4/3, 5/3)
C(5/3, -4/3)
D(-5/3, -4/3)
Solution & Explanation:First, multiply the first equation by 4 and multiply the second equation by 3. Then subtract the equations to eliminate y. This gives 9x = 15, so x = 5/3. Substitute x = 5/3 into either original equation to get y = -4/3. The solution is (5/3, -4/3).

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.EE.C.8b (Primary standard selected for prompt fields: CCSS 8.EE.C.8b. Skill statement: Which ordered pair is the correct solution when the system is solved by elimination? Associated standards listed with this skill: CCSS 8.EE.C.8b; CA 8.EE.C.8b; MA 8.EE.C.8b. Use this embedded wording as the best available supporting standard description for this workflow.).

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