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

8.71 Solving Systems of Equations by Graphing Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.71 Solving Systems of Equations by Graphing. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.71 Solving Systems of Equations by Graphing - Which point is the intersection of the two lines and therefore the solution to the system? (CCSS 8.EE.C.8a; CA 8.EE.C.8a; MA 8.EE.C.8a)

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

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.71 Solving Systems of Equations by Graphing skill assessments:

Problem 1Difficulty: Hard
Line 1 passes through (-3, 2/5) and (-2, 7/5). Line 2: 5x + 5y = 9. A student guessed that the solution is (1/5, 18/5). Which answer choice gives the actual intersection?
A(1/5, 18/5)
B(-9/5, 8/5)
C(6/5, 23/5)
D(-4/5, 13/5)
Solution & Explanation:The guessed point (1/5, 18/5) is on one line, but not on the other. Plot the given points or intercepts for each line and extend the lines. The crossing point is (-4/5, 13/5), so that ordered pair is the solution.
Problem 2Difficulty: Hard
Line M: y - 3/2 = (2/3)(x + 1). Line N: y = -(1/3)x + 17/3. Find the point shared by both graphs.
A(13/2, 13/2)
B(1/2, 5/2)
C(7/2, 9/2)
D(19/2, 17/2)
Solution & Explanation:The solution to a system is the point where both lines have the same y-value for the same x-value. For y = (2/3)x + 13/6 and y = -(1/3)x + 17/3, that happens at x = 7/2 and y = 9/2, so the intersection is (7/2, 9/2).
Problem 3Difficulty: Hard
True or False: (7/5, 4/5) lies on both graphs. First line crosses the x-axis at (3, 0) and the y-axis at (0, 3/2). Second line: y - 3 = (3/4)(x - 1).
ATrue
BFalse
Solution & Explanation:False. (7/5, 4/5) is not the shared point of the two graphs. The correct solution is (-3/5, 9/5).

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Frequently Asked Questions

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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.8a (Primary standard selected for prompt fields: CCSS 8.EE.C.8a. Skill statement: Which point is the intersection of the two lines and therefore the solution to the system? Associated standards listed with this skill: CCSS 8.EE.C.8a; CA 8.EE.C.8a; MA 8.EE.C.8a. Use this embedded wording as the best available supporting standard description for this workflow.).

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