Linear Equation Systems - Simple Equation Substitution (Level 3)

This math topic focuses on practicing substitution methods for solving systems of linear equations. Each question requires substituting one given equation into another to solve for a variable. The problems test the ability to manipulate and solve algebraic equations involving multiple steps and variables, reinforcing basic skills in algebra and equation solving. The topic forms part of an introductory unit on algebraic systems of equations.

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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

24r2d=36d=8r10r=?24r - 2d = 36\\d = 8r - 10\\r = ?

Linear Equation Systems - Simple Equation Substitution Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Equation Substitution (Level 3)'. 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 96n - 11p = 46\\p = 8n - 2\\n = ?
a A LaTex expression showing n = 2
b A LaTex expression showing n = 3
c A LaTex expression showing n = 88
d A LaTex expression showing n = 6
e A LaTex expression showing n = 22
f A LaTex expression showing n = 1
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 45c - 4m = 77\\m = 9c - 8\\c = ?
a A LaTex expression showing c = 5
b A LaTex expression showing c = 3
c A LaTex expression showing c = 32
d A LaTex expression showing c = 8
e A LaTex expression showing c = 4
f A LaTex expression showing c = 36
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9c - 3p = 45\\p = 2c - 12\\c = ?
a A LaTex expression showing c = 6
b A LaTex expression showing c = 1
c A LaTex expression showing c = 2
d A LaTex expression showing c = 36
e A LaTex expression showing c = 6
f A LaTex expression showing c = 3
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 13n - 3d = 8\\d = 3n + 4\\n = ?
a A LaTex expression showing n = 3
b A LaTex expression showing n = 5
c A LaTex expression showing n = 12
d A LaTex expression showing n = 9
e A LaTex expression showing n = 4
f A LaTex expression showing n = 8
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 33p - 2z = 91\\z = 11p + 4\\p = ?
a A LaTex expression showing p = 22
b A LaTex expression showing p = 9
c A LaTex expression showing p = 12
d A LaTex expression showing p = 7
e A LaTex expression showing p = 8
f A LaTex expression showing p = 8
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 28m - 6c = 24\\c = 4m + 2\\m = ?
a A LaTex expression showing m = 24
b A LaTex expression showing m = 7
c A LaTex expression showing m = 12
d A LaTex expression showing m = 12
e A LaTex expression showing m = 9
f A LaTex expression showing m = 8
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 15b - 4x = 56\\x = 3b - 8\\b = ?
a A LaTex expression showing b = 6
b A LaTex expression showing b = 12
c A LaTex expression showing b = 7
d A LaTex expression showing b = 11
e A LaTex expression showing b = 8
f A LaTex expression showing b = 32