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Linear Equation Systems - Simple Number Substitution (Level 2)

This math topic focuses on solving linear equation systems through simple number substitution. Specifically, it addresses substituting a given variable's value from one equation into another to isolate and solve for a different variable. Practice is structured around multiple problems where a system of equations is presented, and learners must substitute the known value to find the unknown variable. Each problem provides several choices for the answer, enhancing understanding and mastery of algebraic concepts within the broad unit on introductory algebra systems of equations.

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

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Linear Equation Systems - Simple Number Substitution

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


Solve for the variable by substituting the second equation into the first

5z+11y=69y=4z=?5z + 11y = 69\\y = 4\\z = ?

Linear Equation Systems - Simple Number Substitution Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Number Substitution (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
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5n + 2c = 62\\c = 11\\n = ?
a A LaTex expression showing n = 7
b A LaTex expression showing n = 10
c A LaTex expression showing n = 11
d A LaTex expression showing n = 22
e A LaTex expression showing n = 8
f A LaTex expression showing n = 6
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2z + 9y = 118\\y = 12\\z = ?
a A LaTex expression showing z = 5
b A LaTex expression showing z = 4
c A LaTex expression showing z = 8
d A LaTex expression showing z = 3
e A LaTex expression showing z = 108
f A LaTex expression showing z = 7
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6m + 4x = 74\\x = 5\\m = ?
a A LaTex expression showing m = 12
b A LaTex expression showing m = 9
c A LaTex expression showing m = 7
d A LaTex expression showing m = 8
e A LaTex expression showing m = 11
f A LaTex expression showing m = 20
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6d + 11m = 52\\m = 2\\d = ?
a A LaTex expression showing d = 7
b A LaTex expression showing d = 22
c A LaTex expression showing d = 4
d A LaTex expression showing d = 5
e A LaTex expression showing d = 3
f A LaTex expression showing d = 8
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9z - 3n = 63\\n = 3\\z = ?
a A LaTex expression showing z = 10
b A LaTex expression showing z = 7
c A LaTex expression showing z = 9
d A LaTex expression showing z = 6
e A LaTex expression showing z = 11
f A LaTex expression showing z = 8
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8b - 12r = 48\\r = 2\\b = ?
a A LaTex expression showing b = 7
b A LaTex expression showing b = 24
c A LaTex expression showing b = 11
d A LaTex expression showing b = 8
e A LaTex expression showing b = 9
f A LaTex expression showing b = 12
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9d - 10b = 6\\b = 3\\d = ?
a A LaTex expression showing d = 6
b A LaTex expression showing d = 4
c A LaTex expression showing d = 2
d A LaTex expression showing d = 3
e A LaTex expression showing d = 7
f A LaTex expression showing d = 30