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Solve Systems by Substitution, One Variable Isolated

Written by Adi Ackerman, Head Teacher

"Solve Systems by Substitution, One Variable Isolated" 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.

Popular with 8th Grade teachers · Downloaded 306 times
Solve Systems by Substitution, One Variable Isolated
Solve Systems by Substitution, One Variable Isolated

8th grade math worksheet: substitute in eight systems that already have y or x alone, like y = 2x + 1 and 3x + y = 16. 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 isolated variable into the other equation.
  • Students will solve the new equation for one variable.
  • Students will find the second variable and write the solution as a pair.


Curriculum Links

Common Core State Standards

Expressions and Equations · 8th Grade

8.EE.C.8.B

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 →

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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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Substitute in eight systems that already have y or x alone, like y = 2x + 1 and 3x + y = 16. The directions on the page read: Substitute into the other equation, solve, and 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

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

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