Linear Equation Systems - Simple Equation Substitution

Level 1

This math topic focuses on solving linear equation systems through the method of simple substitution. It forms part of a broader introduction to algebra systems of equations. The problems require substituting one equation into another to isolate and solve for a specific variable. Each problem provides multiple choices for the solution. The practice aims to strengthen students' understanding of manipulation and solution of algebraic equations involving two variables. This foundational skill is essential for further study in algebra and more complex mathematical concepts.

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

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

7p+b=64b=8p+4p=?7p + b = 64\\b = 8p + 4\\p = ?

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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 1)'. 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 9y - z = 1\\z = 8y + 2\\y = ?
a A LaTex expression showing y = 3
b A LaTex expression showing y = 4
c A LaTex expression showing y = 1
d A LaTex expression showing y = 5
e A LaTex expression showing y = 2
f A LaTex expression showing y = 6
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12c + z = 62\\z = 2c + 6\\c = ?
a A LaTex expression showing c = 2
b A LaTex expression showing c = 5
c A LaTex expression showing c = 7
d A LaTex expression showing c = 6
e A LaTex expression showing c = 3
f A LaTex expression showing c = 4
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 11b - y = 21\\y = 8b + 3\\b = ?
a A LaTex expression showing b = 9
b A LaTex expression showing b = 6
c A LaTex expression showing b = 8
d A LaTex expression showing b = 10
e A LaTex expression showing b = 11
f A LaTex expression showing b = 7
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 3r + d = 20\\d = 4r + 6\\r = ?
a A LaTex expression showing r = 3
b A LaTex expression showing r = 4
c A LaTex expression showing r = 2
d A LaTex expression showing r = 1
e A LaTex expression showing r = 5
f A LaTex expression showing r = 0
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2m + r = 60\\r = 5m + 4\\m = ?
a A LaTex expression showing m = 11
b A LaTex expression showing m = 9
c A LaTex expression showing m = 6
d A LaTex expression showing m = 10
e A LaTex expression showing m = 7
f A LaTex expression showing m = 8
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8c + m = 100\\m = 3c + 12\\c = ?
a A LaTex expression showing c = 7
b A LaTex expression showing c = 8
c A LaTex expression showing c = 9
d A LaTex expression showing c = 11
e A LaTex expression showing c = 6
f A LaTex expression showing c = 10
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8p - d = 7\\d = 6p + 9\\p = ?
a A LaTex expression showing p = 9
b A LaTex expression showing p = 7
c A LaTex expression showing p = 6
d A LaTex expression showing p = 8
e A LaTex expression showing p = 10
f A LaTex expression showing p = 11