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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Math worksheet on 'Linear Equation Systems - Simple Equation Substitution (Level 3)'. 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 132r - 12b = 72\\b = 10r + 3\\r = ?
a A LaTex expression showing r = 9
b A LaTex expression showing r = 120
c A LaTex expression showing r = 12
d A LaTex expression showing r = 7
e A LaTex expression showing r = 8
f A LaTex expression showing r = 36
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6p - 2n = 40\\n = 2p - 12\\p = ?
a A LaTex expression showing p = 6
b A LaTex expression showing p = 11
c A LaTex expression showing p = 8
d A LaTex expression showing p = 4
e A LaTex expression showing p = 7
f A LaTex expression showing p = 24
3
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 = 12
b A LaTex expression showing m = 9
c A LaTex expression showing m = 12
d A LaTex expression showing m = 7
e A LaTex expression showing m = 8
f A LaTex expression showing m = 24
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 93c - 9p = 168\\p = 9c - 12\\c = ?
a A LaTex expression showing c = 4
b A LaTex expression showing c = 108
c A LaTex expression showing c = 5
d A LaTex expression showing c = 81
e A LaTex expression showing c = 8
f A LaTex expression showing c = 3
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 45r - 10d = 70\\d = 4r - 3\\r = ?
a A LaTex expression showing r = 6
b A LaTex expression showing r = 40
c A LaTex expression showing r = 8
d A LaTex expression showing r = 11
e A LaTex expression showing r = 7
f A LaTex expression showing r = 30
6
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 = 6
d A LaTex expression showing c = 6
e A LaTex expression showing c = 1
f A LaTex expression showing c = 2
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 55c - 10x = 60\\x = 5c - 5\\c = ?
a A LaTex expression showing c = 5
b A LaTex expression showing c = 50
c A LaTex expression showing c = 1
d A LaTex expression showing c = 50
e A LaTex expression showing c = 2
f A LaTex expression showing c = 0