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

4p+2x=120x=10p+12p=?4p + 2x = 120\\x = 10p + 12\\p = ?

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 12d + 2b = 144\\b = 6d - 12\\d = ?
a A LaTex expression showing 12d + 6d - 5 = 144
b A LaTex expression showing 24d - 6d + 12 = 144
c A LaTex expression showing 12d - 6d + 6 = 12
d A LaTex expression showing 12d - 6d - 5 = 144
e A LaTex expression showing 12d + 12d - 24 = 144
f A LaTex expression showing 24d + 6d + 12 = 144
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5d + 4y = 99\\y = 11d - 12\\d = ?
a A LaTex expression showing 5d + 44d - 48 = 99
b A LaTex expression showing 44d + 11d - 1 = 99
c A LaTex expression showing 44d - 11d - 1 = 99
d A LaTex expression showing 5d - 11d + 2 = 44
e A LaTex expression showing 48d - 11d + 12 = 99
f A LaTex expression showing 48d + 11d + 12 = 99
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5n + 9r = 19\\r = 4n - 7\\n = ?
a A LaTex expression showing 36n + 4n - 0 = 19
b A LaTex expression showing 63n + 4n + 7 = 19
c A LaTex expression showing 5n - 4n + 1 = 36
d A LaTex expression showing 63n - 4n + 7 = 19
e A LaTex expression showing 36n - 4n - 0 = 19
f A LaTex expression showing 5n + 36n - 63 = 19
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 2z + 3r = 123\\r = 9z + 12\\z = ?
a A LaTex expression showing 36z + 9z + 12 = 123
b A LaTex expression showing 2z + 27z + 36 = 123
c A LaTex expression showing 2z + 27z - 36 = 123
d A LaTex expression showing 27z - 9z - 1 = 123
e A LaTex expression showing 27z + 9z + 1 = 123
f A LaTex expression showing 2z + 9z + 2 = 27
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 4n + 8p = 144\\p = 7n + 3\\n = ?
a A LaTex expression showing 4n + 7n + 1 = 56
b A LaTex expression showing 24n + 7n + 3 = 144
c A LaTex expression showing 56n - 7n - 0 = 144
d A LaTex expression showing 56n + 7n + 0 = 144
e A LaTex expression showing 4n + 56n - 24 = 144
f A LaTex expression showing 4n + 56n + 24 = 144
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 3b + 2d = 103\\d = 8b + 4\\b = ?
a A LaTex expression showing 3b + 16b - 8 = 103
b A LaTex expression showing 16b - 8b - 3 = 103
c A LaTex expression showing 16b + 8b + 3 = 103
d A LaTex expression showing 3b + 8b + 4 = 16
e A LaTex expression showing 8b + 8b + 4 = 103
f A LaTex expression showing 3b + 16b + 8 = 103
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 4c + 8d = 80\\d = 3c - 11\\c = ?
a A LaTex expression showing 88c + 3c + 11 = 80
b A LaTex expression showing 88c - 3c + 11 = 80
c A LaTex expression showing 24c - 3c - 4 = 80
d A LaTex expression showing 4c - 3c + 5 = 24
e A LaTex expression showing 4c + 24c - 88 = 80
f A LaTex expression showing 24c + 3c - 4 = 80