This math topic focuses on solving linear equation systems through the method of simple substitution. It forms part of a broader introduction to algebra systems of equations. The problems require substituting one equation into another to isolate and solve for a specific variable. Each problem provides multiple choices for the solution. The practice aims to strengthen students' understanding of manipulation and solution of algebraic equations involving two variables. This foundational skill is essential for further study in algebra and more complex mathematical concepts.

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Linear Equation Systems - Simple Equation Substitution Worksheet

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Linear Equation Systems - Simple Equation Substitution
1
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12m - d = 3\\d = 6m + 9\\m = ?
a A LaTex expression showing m = 3
b A LaTex expression showing m = 5
c A LaTex expression showing m = 2
d A LaTex expression showing m = 4
e A LaTex expression showing m = 1
f A LaTex expression showing m = 0
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10p + n = 103\\n = 6p + 7\\p = ?
a A LaTex expression showing p = 8
b A LaTex expression showing p = 7
c A LaTex expression showing p = 5
d A LaTex expression showing p = 4
e A LaTex expression showing p = 6
f A LaTex expression showing p = 9
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5c + x = 92\\x = 6c + 4\\c = ?
a A LaTex expression showing c = 7
b A LaTex expression showing c = 6
c A LaTex expression showing c = 9
d A LaTex expression showing c = 8
e A LaTex expression showing c = 10
f A LaTex expression showing c = 11
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12c + z = 62\\z = 2c + 6\\c = ?
a A LaTex expression showing c = 5
b A LaTex expression showing c = 7
c A LaTex expression showing c = 4
d A LaTex expression showing c = 2
e A LaTex expression showing c = 3
f A LaTex expression showing c = 6
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 7b + d = 51\\d = 6b + 12\\b = ?
a A LaTex expression showing b = 1
b A LaTex expression showing b = 2
c A LaTex expression showing b = 4
d A LaTex expression showing b = 3
e A LaTex expression showing b = 5
f A LaTex expression showing b = 6
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 7m - p = 5\\p = 2m + 10\\m = ?
a A LaTex expression showing m = 5
b A LaTex expression showing m = 6
c A LaTex expression showing m = 4
d A LaTex expression showing m = 3
e A LaTex expression showing m = 2
f A LaTex expression showing m = 1
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8p - d = 7\\d = 6p + 9\\p = ?
a A LaTex expression showing p = 11
b A LaTex expression showing p = 6
c A LaTex expression showing p = 9
d A LaTex expression showing p = 8
e A LaTex expression showing p = 7
f A LaTex expression showing p = 10
8
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8n + x = 120\\x = 11n + 6\\n = ?
a A LaTex expression showing n = 9
b A LaTex expression showing n = 8
c A LaTex expression showing n = 5
d A LaTex expression showing n = 6
e A LaTex expression showing n = 4
f A LaTex expression showing n = 7