Substitution With Distributing Negatives
Written by Adi Ackerman, Head Teacher
"Substitution With Distributing Negatives" 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: solve eight substitution systems where a negative must be distributed, as in x = 2y + 7. Answer key included. Part of our solve systems by substitution collection. Aligned to Common Core standards.
How do I use this worksheet?
Work through the three drill sheets in order. Use Solve Systems by Any Method, Choose and Explain once elimination is also taught, and the maze as review.
What students will practice
- Students will substitute an expression that is multiplied by a negative number.
- Students will distribute the negative correctly and combine like terms.
- Students will solve eight systems and write each pair.


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 substitution worksheet?
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Work through the three drill sheets in order. Use Solve Systems by Any Method, Choose and Explain once elimination is also taught, and the maze as review.
What does this worksheet teach?
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Solve eight substitution systems where a negative must be distributed, as in x = 2y + 7. The directions on the page read: Substitute, distribute the negative, and solve. Write the solution as a pair. An answer key is included.
Can I use this solve systems by substitution 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 are the steps for solving a system by substitution?
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Get x or y alone in one equation. Substitute that expression into the other equation and solve it. Then put the value back in to find the other variable and write the pair.
What is the most common mistake in substitution?
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Forgetting to distribute a negative sign when the expression goes into parentheses. Substitution With Distributing Negatives gives eight systems built to practice this step.
How does the substitution maze work?
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Students start at cell 1, solve the system there and follow the arrow next to their answer. A wrong answer leads off the path, so the maze checks the work as students go.
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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