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Linear Equation Systems - Simple Variable Substitution To Equation (Level 3)

This math topic focuses on solving systems of linear equations using variable substitution. Specifically, it involves substituting one variable from one equation into another to form a single equation that can be solved. The problems aim to develop and test the mastery of basic algebraic manipulation related to combining equations and isolating variables. Each question presents equations with variables to be substituted and includes multiple-choice answers, encouraging skills in solving for the unknown and verifying solutions. This subject area is targeted at students who are beginning their studies in algebra and systems of equations.

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Linear Equation Systems - Simple Variable Substitution To Equation

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


Substitute the second variable equation into the first equation to form a single solvable equation

d=7z−4d=6z+4z=?d = 7z - 4\\d = 6z + 4\\z = ?

Linear Equation Systems - Simple Variable Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Variable Substitution To Equation (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
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing b = 5z + 10\\b = 3z + 22\\z = ?
a A LaTex expression showing 5z - 10 = 9z + 22
b A LaTex expression showing 5z + 10 = 3z + 22
c A LaTex expression showing 8z - 10 = 3z + 22
d A LaTex expression showing 8z + 10 = 3z + 22
e A LaTex expression showing 10z + 3 = 22
f A LaTex expression showing 5z - 22 = 3z + 22
2
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing n = 11x - 6\\n = 8x + 21\\x = ?
a A LaTex expression showing 11x - 6 = 12x + 21
b A LaTex expression showing 11x + 6 = 8x + 21
c A LaTex expression showing 11x - 21 = 8x + 21
d A LaTex expression showing 6x + 8 = 21
e A LaTex expression showing 11x + 6 = 12x + 21
f A LaTex expression showing 11x - 6 = 8x + 21
3
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing b = 6n - 11\\b = 2n + 1\\n = ?
a A LaTex expression showing 6n - 11 = 6n + 1
b A LaTex expression showing 6n - 1 = 2n + 1
c A LaTex expression showing 11n + 2 = 1
d A LaTex expression showing 6n - 11 = 2n + 1
e A LaTex expression showing 5n + 11 = 2n + 1
f A LaTex expression showing 5n - 11 = 2n + 1
4
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing x = 11m + 6\\x = 2m + 33\\m = ?
a A LaTex expression showing 6m + 2 = 33
b A LaTex expression showing 11m - 33 = 2m + 33
c A LaTex expression showing 11m + 6 = 2m + 33
d A LaTex expression showing 5m + 6 = 2m + 33
e A LaTex expression showing 5m - 6 = 2m + 33
f A LaTex expression showing 11m - 6 = 6m + 33
5
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing m = 3z + 7\\m = 2z + 13\\z = ?
a A LaTex expression showing 3z + 7 = 2z + 13
b A LaTex expression showing 8z - 7 = 2z + 13
c A LaTex expression showing 3z - 13 = 2z + 13
d A LaTex expression showing 7z + 2 = 13
e A LaTex expression showing 8z + 7 = 2z + 13
f A LaTex expression showing 3z - 7 = 9z + 13
6
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing d = 7r + 10\\d = 11r + 2\\r = ?
a A LaTex expression showing 7r - 2 = 11r + 2
b A LaTex expression showing 4r - 10 = 11r + 2
c A LaTex expression showing 7r + 10 = 11r + 2
d A LaTex expression showing 4r + 10 = 11r + 2
e A LaTex expression showing 10r + 11 = 2
f A LaTex expression showing 7r - 10 = 5r + 2
7
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing p = 12b - 4\\p = 11b + 5\\b = ?
a A LaTex expression showing 12b - 4 = 11b + 5
b A LaTex expression showing 12b - 4 = 12b + 5
c A LaTex expression showing 11b - 4 = 11b + 5
d A LaTex expression showing 12b - 5 = 11b + 5
e A LaTex expression showing 11b + 4 = 11b + 5
f A LaTex expression showing 4b + 11 = 5