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Linear Equation Systems - Simple Equation Substitution To Equation (Level 2)

This math topic focuses on solving systems of linear equations by substitution. It involves substituting one equation into another to form a single equation that can be solved for one variable. The problems provided require substituting a given expression into another equation and simplifying to solve for the unknown variable. This includes determining the correct simplified form from multiple answer choices. These exercises practice algebraic manipulation skills and help in understanding how to isolate variables to find specific solutions in linear equation systems.

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

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Linear Equation Systems - Simple Equation Substitution To Equation

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


Substitute the second equation into the first equation to form a single solvable equation

4z+4m=20m=6z−9z=?4z + 4m = 20\\m = 6z - 9\\z = ?

Linear Equation Systems - Simple Equation Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Equation Substitution To Equation (Level 2)'. Part of a broader unit on 'Algebra Systems of Equations - Intro' Learn online: app.mobius.academy/math/units/algebra_systems_of_equations_intro/
1
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5b + 3n = 75\\n = 9b - 7\\b = ?
a A LaTex expression showing 21b - 9b + 7 = 75
b A LaTex expression showing 5b - 9b + 2 = 27
c A LaTex expression showing 27b - 9b - 1 = 75
d A LaTex expression showing 5b + 27b - 21 = 75
e A LaTex expression showing 21b + 9b + 7 = 75
f A LaTex expression showing 27b + 9b - 1 = 75
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11p + 5c = 134\\c = 2p + 10\\p = ?
a A LaTex expression showing 10p - 2p - 2 = 134
b A LaTex expression showing 11p + 2p + 3 = 10
c A LaTex expression showing 50p + 2p + 10 = 134
d A LaTex expression showing 11p + 10p - 50 = 134
e A LaTex expression showing 10p + 2p + 2 = 134
f A LaTex expression showing 11p + 10p + 50 = 134
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 4n + 5c = 117\\c = 8n - 3\\n = ?
a A LaTex expression showing 15n + 8n + 3 = 117
b A LaTex expression showing 15n - 8n + 3 = 117
c A LaTex expression showing 4n - 8n + 2 = 40
d A LaTex expression showing 4n + 40n - 15 = 117
e A LaTex expression showing 40n + 8n - 1 = 117
f A LaTex expression showing 40n - 8n - 1 = 117
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5x + 2c = 30\\c = 11x - 12\\x = ?
a A LaTex expression showing 5x + 22x - 24 = 30
b A LaTex expression showing 5x - 11x + 1 = 22
c A LaTex expression showing 22x - 11x - 0 = 30
d A LaTex expression showing 24x + 11x + 12 = 30
e A LaTex expression showing 22x + 11x - 0 = 30
f A LaTex expression showing 24x - 11x + 12 = 30
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 10d + 8x = 102\\x = 6d - 9\\d = ?
a A LaTex expression showing 10d - 6d + 2 = 48
b A LaTex expression showing 10d + 48d - 72 = 102
c A LaTex expression showing 48d - 6d - 1 = 102
d A LaTex expression showing 48d + 6d - 1 = 102
e A LaTex expression showing 72d - 6d + 9 = 102
f A LaTex expression showing 72d + 6d + 9 = 102
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5p + 6m = 68\\m = 3p - 4\\p = ?
a A LaTex expression showing 24p - 3p + 4 = 68
b A LaTex expression showing 18p + 3p - 2 = 68
c A LaTex expression showing 24p + 3p + 4 = 68
d A LaTex expression showing 5p - 3p + 3 = 18
e A LaTex expression showing 5p + 18p - 24 = 68
f A LaTex expression showing 18p - 3p - 2 = 68
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 3c + 3x = 111\\x = 8c + 10\\c = ?
a A LaTex expression showing 24c - 8c - 1 = 111
b A LaTex expression showing 24c + 8c + 1 = 111
c A LaTex expression showing 3c + 24c + 30 = 111
d A LaTex expression showing 3c + 8c + 2 = 24
e A LaTex expression showing 3c + 24c - 30 = 111
f A LaTex expression showing 30c + 8c + 10 = 111