This math topic focuses on practicing substitution methods for solving systems of linear equations. Each question requires substituting one given equation into another to solve for a variable. The problems test the ability to manipulate and solve algebraic equations involving multiple steps and variables, reinforcing basic skills in algebra and equation solving. The topic forms part of an introductory unit on algebraic systems of equations.

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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 9c - 3p = 45\\p = 2c - 12\\c = ?
a A LaTex expression showing c = 36
b A LaTex expression showing c = 3
c A LaTex expression showing c = 1
d A LaTex expression showing c = 6
e A LaTex expression showing c = 6
f A LaTex expression showing c = 2
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 16x - 7m = 29\\m = 2x - 3\\x = ?
a A LaTex expression showing x = 2
b A LaTex expression showing x = 21
c A LaTex expression showing x = 3
d A LaTex expression showing x = 14
e A LaTex expression showing x = 7
f A LaTex expression showing x = 4
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 81d - 9r = 153\\r = 8d - 12\\d = ?
a A LaTex expression showing d = 72
b A LaTex expression showing d = 108
c A LaTex expression showing d = 4
d A LaTex expression showing d = 5
e A LaTex expression showing d = 8
f A LaTex expression showing d = 3
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 100m - 9n = 102\\n = 10m - 8\\m = ?
a A LaTex expression showing m = 72
b A LaTex expression showing m = 1
c A LaTex expression showing m = 3
d A LaTex expression showing m = 2
e A LaTex expression showing m = 6
f A LaTex expression showing m = 90
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 24r - 2d = 36\\d = 8r - 10\\r = ?
a A LaTex expression showing r = 1
b A LaTex expression showing r = 20
c A LaTex expression showing r = 16
d A LaTex expression showing r = 0
e A LaTex expression showing r = 2
f A LaTex expression showing r = 5
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10y - 4p = 18\\p = 2y - 2\\y = ?
a A LaTex expression showing y = 8
b A LaTex expression showing y = 5
c A LaTex expression showing y = 8
d A LaTex expression showing y = 3
e A LaTex expression showing y = 4
f A LaTex expression showing y = 8
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 28m - 6c = 24\\c = 4m + 2\\m = ?
a A LaTex expression showing m = 24
b A LaTex expression showing m = 12
c A LaTex expression showing m = 7
d A LaTex expression showing m = 9
e A LaTex expression showing m = 8
f A LaTex expression showing m = 12
8
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 25x - 2m = 74\\m = 7x - 4\\x = ?
a A LaTex expression showing x = 8
b A LaTex expression showing x = 5
c A LaTex expression showing x = 9
d A LaTex expression showing x = 6
e A LaTex expression showing x = 4
f A LaTex expression showing x = 14