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Read Solutions From Graphs and Write the System

Written by Adi Ackerman, Head Teacher

"Read Solutions From Graphs and Write the System" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.C.8.A. A 7th grader who is already steady on systems of equations can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 368 times
Read Solutions From Graphs and Write the System
Read Solutions From Graphs and Write the System

8th grade math worksheet: write the equations of a solid and a dashed line on four grids, then name where they cross. Answer key included. Part of our solve systems by graphing collection. Aligned to Common Core standards.

How do I use this worksheet?

Start with Is the Ordered Pair a Solution of the System so students know what a solution is, then graph slope-intercept pairs before standard form. Use the puzzles for review.

What students will practice

  • Students will write the equation of a graphed line in y = mx + b form.
  • Students will name a system from two lines on one grid.
  • Students will write the solution where the solid and dashed lines cross.


Curriculum Links

Common Core State Standards

Expressions and Equations · 8th Grade

8.EE.C.8.A

Standard: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

View all 8.EE.C.8.A worksheets →

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FAQ

How do I use this solve systems by graphing worksheet?

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Start with Is the Ordered Pair a Solution of the System so students know what a solution is, then graph slope-intercept pairs before standard form. Use the puzzles for review.

What does this worksheet teach?

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Write the equations of a solid and a dashed line on four grids, then name where they cross. The directions on the page read: Write each line's equation as y = mx + b. Then write where the lines cross. An answer key is included.

Can I use this solve systems by graphing worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade systems of equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What does the point where two lines cross mean?

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It is the one ordered pair that makes both equations true at the same time, so it is the solution of the system. Students check it by substituting it into both equations on several of these sheets.

How do you graph a system in standard form?

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Rewrite each equation as y = mx + b, then plot the y-intercept and use the slope to find more points. Graph Systems Given in Standard Form gives space for the rewriting before graphing.

Why estimate a solution from a graph?

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Some lines cross between grid points, so a graph only gives an estimate. Estimate Graph Solutions, Then Solve Exactly asks students to estimate to the nearest whole number first, then solve with algebra for the exact pair.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicSystems of Equations
Standard8.EE.C.8.A
Pages1 page
DifficultyMedium

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