Systems of Equations by Substitution Practice

Product description

From the author

This resource Solving Systems of Linear Equations by Substitution Practice 1 focuses on solving systems of linear equations by using substitution. It includes six problems of just solving and then six word problems.
Students must state what each variable represents, write two equations, and solve. There isn't room to solve the equations on the paper, but there are lines for each part of the answer which makes this worksheet easily graded. You may also choose to use this resource as solving systems of linear equations by elimination. Due to fractions and large numbers, I would not recommend using it for solving systems of linear equations by graphing.
This resource may be used from eighth grade through high school. Students will have a better understanding of how to solve systems of linear equations by substitution once they finish this practice. You may also use this resource as homework to reinforce what was taught in class.

In the classroom

Teaching tips & learning objectives

Learning objectives

Students solve systems of two linear equations using the substitution method.
Students translate word problems into systems of two linear equations by defining variables.
Students check a solution against both original equations.

Teaching tips

Use pages 3-4 as the student copy and pages 5-6 as a self-check or grading reference, since the two are identical except for the filled-in solutions.
Have students show their substitution work on separate paper, since the worksheet itself only provides lines for the final answers.
Pair problems 7 and 8, since both involve linear cost equations, to highlight how the same setup process applies across different contexts.

Skills covered

Solving systems of linear equations by substitution.
Translating word problems into systems of equations.
Defining variables and writing corresponding equations.

Good to know

Questions teachers ask about this resource

Are step-by-step substitution examples included?

The key fills in solutions and word-problem setups. Students are directed to show their substitution work on separate paper.

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Curriculum

Standards, concepts & topics

Standards

HSA-REI.C.6

Core concepts

Systems of linear equations
Substitution method
Word-problem modeling with two variables

Topics

Substitution Linear systems Solve equations Practice set

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Categories this resource belongs to

9th Grade Math Worksheets 8th Grade Math Worksheets Algebra Worksheets Linear Equations Worksheet Math Worksheets Popular Math Worksheets

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