Elimination by Subtracting Equations
Written by Adi Ackerman, Head Teacher
"Elimination by Subtracting Equations" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.EE.C.8.B. 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.
8th grade math worksheet: subtract the equations to cancel matching terms in eight systems like 3x + 2y = 16 and 3x minus y = 1. Answer key included. Part of our solve systems by elimination collection. Aligned to Common Core standards.
How do I use this worksheet?
Teach the sheets in order, since each adds one step. Use the door puzzle once students can multiply both equations.
What students will practice
- Students will spot matching terms that cancel when equations are subtracted.
- Students will subtract one equation from the other carefully, sign by sign.
- Students will solve eight systems and write each solution.
Solve Systems by Graphing, Slope-Intercept Pairs
Graph Systems Given in Standard Form
Graph Systems With Horizontal and Vertical Lines
Graph Systems With Fraction Slopes
Read System Solutions From Graphs
Read Solutions From Graphs and Write the System
Estimate Graph Solutions, Then Solve Exactly
Treasure Map Systems, Locate the Hidden Points
Curriculum Links
Common Core State Standards
Expressions and Equations · 8th Grade
Standard: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
View all 8.EE.C.8.B worksheets →Find this in the curriculum
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FAQ
How do I use this solve systems by elimination worksheet?
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Teach the sheets in order, since each adds one step. Use the door puzzle once students can multiply both equations.
What does this worksheet teach?
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Subtract the equations to cancel matching terms in eight systems like 3x + 2y = 16 and 3x minus y = 1. The directions on the page read: Subtract the equations to cancel one variable. Solve, then write the pair. An answer key is included.
Can I use this solve systems by elimination 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.
When do you add and when do you subtract equations?
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Add when a variable has opposite coefficients, such as y and negative y. Subtract when a variable has the same coefficient, such as 3x and 3x. Two separate sheets practice each case.
Why multiply an equation before eliminating?
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If no variable has matching or opposite coefficients, multiply one or both equations so one does. Elimination After Multiplying One Equation and Elimination After Multiplying Both Equations practice this.
How does the elimination door puzzle work?
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Students solve the system in Room 1, add x and y, and go through the door with that number. They keep going until they leave by the Exit, so a wrong sum sends them the wrong way.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Systems of Equations |
| Standard | 8.EE.C.8.B |
| Pages | 1 page |
| Difficulty | Medium |
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Solve Systems by Graphing, Slope-Intercept Pairs
Graph Systems Given in Standard Form
Graph Systems With Horizontal and Vertical Lines
Graph Systems With Fraction Slopes
Read System Solutions From Graphs
Read Solutions From Graphs and Write the System
Estimate Graph Solutions, Then Solve Exactly
Treasure Map Systems, Locate the Hidden Points