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 Worksheet

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Linear Equation Systems - Simple Variable Substitution
1
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10p - y = 49\\y = 3p\\p = ?
a A LaTex expression showing p = 5
b A LaTex expression showing p = 10
c A LaTex expression showing p = 6
d A LaTex expression showing p = 3
e A LaTex expression showing p = 7
f A LaTex expression showing p = 9
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12d + p = 69\\p = 11d\\d = ?
a A LaTex expression showing d = 3
b A LaTex expression showing d = 5
c A LaTex expression showing d = 2
d A LaTex expression showing d = 6
e A LaTex expression showing d = 4
f A LaTex expression showing d = 1
3
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 = 10
b A LaTex expression showing r = 7
c A LaTex expression showing r = 11
d A LaTex expression showing r = 8
e A LaTex expression showing r = 9
f A LaTex expression showing r = 6
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9c + p = 126\\p = 9c\\c = ?
a A LaTex expression showing c = 9
b A LaTex expression showing c = 8
c A LaTex expression showing c = 6
d A LaTex expression showing c = 5
e A LaTex expression showing c = 10
f A LaTex expression showing c = 7
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5r + y = 42\\y = 9r\\r = ?
a A LaTex expression showing r = 6
b A LaTex expression showing r = 2
c A LaTex expression showing r = 4
d A LaTex expression showing r = 5
e A LaTex expression showing r = 3
f A LaTex expression showing r = 1
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2n + x = 78\\x = 11n\\n = ?
a A LaTex expression showing n = 4
b A LaTex expression showing n = 9
c A LaTex expression showing n = 6
d A LaTex expression showing n = 5
e A LaTex expression showing n = 8
f A LaTex expression showing n = 7
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 7x + b = 102\\b = 10x\\x = ?
a A LaTex expression showing x = 7
b A LaTex expression showing x = 6
c A LaTex expression showing x = 9
d A LaTex expression showing x = 5
e A LaTex expression showing x = 4
f A LaTex expression showing x = 8
8
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2z + b = 108\\b = 10z\\z = ?
a A LaTex expression showing z = 10
b A LaTex expression showing z = 9
c A LaTex expression showing z = 12
d A LaTex expression showing z = 11
e A LaTex expression showing z = 7
f A LaTex expression showing z = 8