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Linear Equation Systems - Simple Variable Substitution (Level 1)

This math topic focuses on solving systems of linear equations using simple variable substitution. It presents multiple practice problems where students solve for one variable by substituting one equation into another. Each problem provides multiple-choice answers for the variable in question. These exercises serve as an introductory portion of a broader unit on algebra systems of equations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Linear Equation Systems - Simple Variable Substitution

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve for the variable by substituting the second equation into the first

9r+p=52p=4rr=?9r + p = 52\\p = 4r\\r = ?

Linear Equation Systems - Simple Variable Substitution Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Variable Substitution (Level 1)'. Part of a broader unit on 'Algebra Systems of Equations - Intro' Learn online: app.mobius.academy/math/units/algebra_systems_of_equations_intro/
1
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10y - x = 35\\x = 3y\\y = ?
a A LaTex expression showing y = 5
b A LaTex expression showing y = 7
c A LaTex expression showing y = 4
d A LaTex expression showing y = 3
e A LaTex expression showing y = 8
f A LaTex expression showing y = 3
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10r + p = 98\\p = 4r\\r = ?
a A LaTex expression showing r = 10
b A LaTex expression showing r = 7
c A LaTex expression showing r = 9
d A LaTex expression showing r = 8
e A LaTex expression showing r = 5
f A LaTex expression showing r = 6
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12c + z = 92\\z = 11c\\c = ?
a A LaTex expression showing c = 5
b A LaTex expression showing c = 3
c A LaTex expression showing c = 6
d A LaTex expression showing c = 2
e A LaTex expression showing c = 7
f A LaTex expression showing c = 4
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9r + p = 52\\p = 4r\\r = ?
a A LaTex expression showing r = 6
b A LaTex expression showing r = 3
c A LaTex expression showing r = 4
d A LaTex expression showing r = 7
e A LaTex expression showing r = 5
f A LaTex expression showing r = 2
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 3r + m = 48\\m = 3r\\r = ?
a A LaTex expression showing r = 9
b A LaTex expression showing r = 11
c A LaTex expression showing r = 10
d A LaTex expression showing r = 6
e A LaTex expression showing r = 8
f A LaTex expression showing r = 7
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9x + c = 78\\c = 4x\\x = ?
a A LaTex expression showing x = 7
b A LaTex expression showing x = 8
c A LaTex expression showing x = 6
d A LaTex expression showing x = 9
e A LaTex expression showing x = 5
f A LaTex expression showing x = 4
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10z - r = 18\\r = 7z\\z = ?
a A LaTex expression showing z = 6
b A LaTex expression showing z = 4
c A LaTex expression showing z = 8
d A LaTex expression showing z = 9
e A LaTex expression showing z = 7
f A LaTex expression showing z = 5