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 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 d = 10r + 2\\d = 3r + 51\\r = ?
a A LaTex expression showing 2r + 3 = 51
b A LaTex expression showing 9r - 2 = 3r + 51
c A LaTex expression showing 10r - 51 = 3r + 51
d A LaTex expression showing 9r + 2 = 3r + 51
e A LaTex expression showing 10r - 2 = 10r + 51
f A LaTex expression showing 10r + 2 = 3r + 51
2
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing x = 10p + 7\\x = 11p + 3\\p = ?
a A LaTex expression showing 10p + 7 = 11p + 3
b A LaTex expression showing 10p - 3 = 11p + 3
c A LaTex expression showing 6p - 7 = 11p + 3
d A LaTex expression showing 6p + 7 = 11p + 3
e A LaTex expression showing 7p + 11 = 3
f A LaTex expression showing 10p - 7 = 7p + 3
3
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 = 3z + 22
b A LaTex expression showing 10z + 3 = 22
c A LaTex expression showing 8z - 10 = 3z + 22
d A LaTex expression showing 8z + 10 = 3z + 22
e A LaTex expression showing 5z - 10 = 9z + 22
f A LaTex expression showing 5z - 22 = 3z + 22
4
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing p = 9n + 8\\p = 8n + 15\\n = ?
a A LaTex expression showing 9n - 8 = 10n + 15
b A LaTex expression showing 9n + 8 = 10n + 15
c A LaTex expression showing 9n - 8 = 8n + 15
d A LaTex expression showing 8n + 8 = 15
e A LaTex expression showing 9n - 15 = 8n + 15
f A LaTex expression showing 9n + 8 = 8n + 15
5
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 7r - 10 = 5r + 2
c A LaTex expression showing 4r + 10 = 11r + 2
d A LaTex expression showing 7r + 10 = 11r + 2
e A LaTex expression showing 4r - 10 = 11r + 2
f A LaTex expression showing 10r + 11 = 2
6
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing z = 12x - 3\\z = 6x + 45\\x = ?
a A LaTex expression showing 12x - 3 = 11x + 45
b A LaTex expression showing 10x + 3 = 6x + 45
c A LaTex expression showing 12x - 45 = 6x + 45
d A LaTex expression showing 12x - 3 = 6x + 45
e A LaTex expression showing 10x - 3 = 6x + 45
f A LaTex expression showing 3x + 6 = 45
7
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing d = 7z - 4\\d = 6z + 4\\z = ?
a A LaTex expression showing 7z - 4 = 6z + 4
b A LaTex expression showing 10z + 4 = 11z + 4
c A LaTex expression showing 10z + 4 = 6z + 4
d A LaTex expression showing 10z - 4 = 6z + 4
e A LaTex expression showing 4z + 6 = 4
f A LaTex expression showing 7z - 4 = 11z + 4