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Linear Equation Systems - Simple Equation Substitution To Equation (Level 1)

This math topic involves solving systems of linear equations through substitution. Each problem provides a pair of linear equations with variables, and the task is to substitute one equation into the other to form a single solvable equation. The goal is to simplify the equations to find the value of one variable. Multiple choice answers are provided for selecting the correctly simplified equation. This is an introductory exercise to the broader subject of algebraic systems of equations, aimed at developing skills in equation manipulation and substitution.

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

9r+p=88p=3r+4r=?9r + p = 88\\p = 3r + 4\\r = ?

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 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
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 9z - d = 3\\d = 8z + 2\\z = ?
a A LaTex expression showing 9z - 8z - 2 = 3
b A LaTex expression showing 6z - 8z + 3 = 3
c A LaTex expression showing 9z - 6z + 7 = 3
d A LaTex expression showing 6z - 8z - 3 = 3
e A LaTex expression showing 9z - 8z - 4 = 6
f A LaTex expression showing 7z + 8z - 2 = 3
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12b - d = 2\\d = 8b + 10\\b = ?
a A LaTex expression showing 5b + 8b - 10 = 2
b A LaTex expression showing 12b - 4b + 5 = 2
c A LaTex expression showing 12b - 8b - 10 = 2
d A LaTex expression showing 4b - 8b + 1 = 2
e A LaTex expression showing 4b - 8b - 1 = 2
f A LaTex expression showing 12b - 8b - 2 = 4
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 3z + y = 43\\y = 9z + 7\\z = ?
a A LaTex expression showing 3z + 4z + 5 = 43
b A LaTex expression showing 5z + 9z + 7 = 43
c A LaTex expression showing 3z + 9z + 2 = 4
d A LaTex expression showing 4z - 9z - 1 = 43
e A LaTex expression showing 3z + 9z + 7 = 43
f A LaTex expression showing 4z + 9z + 1 = 43
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11z + p = 58\\p = 5z + 10\\z = ?
a A LaTex expression showing 5z + 5z + 10 = 58
b A LaTex expression showing 11z + 4z + 5 = 58
c A LaTex expression showing 4z + 5z + 1 = 58
d A LaTex expression showing 4z - 5z - 1 = 58
e A LaTex expression showing 11z + 5z + 10 = 58
f A LaTex expression showing 11z + 5z + 2 = 4
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 10n + d = 37\\d = 7n + 3\\n = ?
a A LaTex expression showing 10n + 7n + 3 = 37
b A LaTex expression showing 4n + 7n + 3 = 37
c A LaTex expression showing 3n - 7n - 0 = 37
d A LaTex expression showing 3n + 7n + 0 = 37
e A LaTex expression showing 10n + 7n + 1 = 3
f A LaTex expression showing 10n + 3n + 4 = 37
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5d + r = 72\\r = 3d + 8\\d = ?
a A LaTex expression showing 5d + 3d + 8 = 72
b A LaTex expression showing 9d - 3d - 6 = 72
c A LaTex expression showing 10d + 3d + 8 = 72
d A LaTex expression showing 9d + 3d + 6 = 72
e A LaTex expression showing 5d + 3d + 7 = 9
f A LaTex expression showing 5d + 9d + 10 = 72
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 8m + y = 55\\y = 4m + 7\\m = ?
a A LaTex expression showing 6m + 4m + 7 = 55
b A LaTex expression showing 8m + 4m + 7 = 55
c A LaTex expression showing 8m + 5m + 6 = 55
d A LaTex expression showing 5m + 4m + 2 = 55
e A LaTex expression showing 5m - 4m - 2 = 55
f A LaTex expression showing 8m + 4m + 3 = 5