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.

more
View

Linear Equation Systems - Simple Equation Substitution To Equation Worksheet

Mobius Math Academy logo
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 5n + 5m = 125\\m = 2n + 4\\n = ?
a A LaTex expression showing 10n + 2n + 5 = 125
b A LaTex expression showing 20n + 2n + 4 = 125
c A LaTex expression showing 10n - 2n - 5 = 125
d A LaTex expression showing 5n + 10n + 20 = 125
e A LaTex expression showing 5n + 10n - 20 = 125
f A LaTex expression showing 5n + 2n + 6 = 10
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 6m + 5p = 108\\p = 5m + 3\\m = ?
a A LaTex expression showing 6m + 25m - 15 = 108
b A LaTex expression showing 25m + 5m + 1 = 108
c A LaTex expression showing 6m + 5m + 2 = 25
d A LaTex expression showing 15m + 5m + 3 = 108
e A LaTex expression showing 25m - 5m - 1 = 108
f A LaTex expression showing 6m + 25m + 15 = 108
3
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 5p + 18p - 24 = 68
c A LaTex expression showing 18p - 3p - 2 = 68
d A LaTex expression showing 5p - 3p + 3 = 18
e A LaTex expression showing 18p + 3p - 2 = 68
f A LaTex expression showing 24p - 3p + 4 = 68
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11n + 10m = 72\\m = 6n - 7\\n = ?
a A LaTex expression showing 70n + 6n + 7 = 72
b A LaTex expression showing 11n + 60n - 70 = 72
c A LaTex expression showing 60n + 6n - 0 = 72
d A LaTex expression showing 70n - 6n + 7 = 72
e A LaTex expression showing 60n - 6n - 0 = 72
f A LaTex expression showing 11n - 6n + 1 = 60
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 10r + 2c = 136\\c = 2r + 5\\r = ?
a A LaTex expression showing 10r + 2r + 8 = 4
b A LaTex expression showing 10r + 2r + 5 = 136
c A LaTex expression showing 4r - 2r - 7 = 136
d A LaTex expression showing 10r + 4r + 10 = 136
e A LaTex expression showing 10r + 4r - 10 = 136
f A LaTex expression showing 4r + 2r + 7 = 136
6
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 40n - 8n - 1 = 117
c A LaTex expression showing 4n + 40n - 15 = 117
d A LaTex expression showing 4n - 8n + 2 = 40
e A LaTex expression showing 40n + 8n - 1 = 117
f A LaTex expression showing 15n + 8n + 3 = 117
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 4b + 3d = 122\\d = 9b - 11\\b = ?
a A LaTex expression showing 27b + 9b - 3 = 122
b A LaTex expression showing 33b - 9b + 11 = 122
c A LaTex expression showing 4b + 27b - 33 = 122
d A LaTex expression showing 33b + 9b + 11 = 122
e A LaTex expression showing 27b - 9b - 3 = 122
f A LaTex expression showing 4b - 9b + 4 = 27
Linear Equation Systems - Simple Equation Substitution To Equation (Level 2) - Mobius Math