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.

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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 11y - n = 32\\n = 3y + 8\\y = ?
a A LaTex expression showing 11y - 6y + 7 = 32
b A LaTex expression showing 7y + 3y - 8 = 32
c A LaTex expression showing 11y - 3y - 4 = 6
d A LaTex expression showing 11y - 3y - 8 = 32
e A LaTex expression showing 6y - 3y + 3 = 32
f A LaTex expression showing 6y - 3y - 3 = 32
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11d - p = 11\\p = 2d + 7\\d = ?
a A LaTex expression showing 11d - 2d - 7 = 11
b A LaTex expression showing 3d - 2d + 0 = 11
c A LaTex expression showing 4d + 2d - 7 = 11
d A LaTex expression showing 11d - 2d - 1 = 3
e A LaTex expression showing 3d - 2d - 0 = 11
f A LaTex expression showing 11d - 3d + 4 = 11
3
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 8m + 4m + 3 = 5
b A LaTex expression showing 8m + 5m + 6 = 55
c A LaTex expression showing 5m - 4m - 2 = 55
d A LaTex expression showing 8m + 4m + 7 = 55
e A LaTex expression showing 5m + 4m + 2 = 55
f A LaTex expression showing 6m + 4m + 7 = 55
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11p - d = 36\\d = 3p + 4\\p = ?
a A LaTex expression showing 11p - 6p + 7 = 36
b A LaTex expression showing 7p + 3p - 4 = 36
c A LaTex expression showing 11p - 3p - 4 = 6
d A LaTex expression showing 6p - 3p + 3 = 36
e A LaTex expression showing 11p - 3p - 4 = 36
f A LaTex expression showing 6p - 3p - 3 = 36
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 4p + b = 72\\b = 11p + 12\\p = ?
a A LaTex expression showing 5p + 11p + 2 = 72
b A LaTex expression showing 4p + 5p + 6 = 72
c A LaTex expression showing 5p - 11p - 2 = 72
d A LaTex expression showing 6p + 11p + 12 = 72
e A LaTex expression showing 4p + 11p + 3 = 5
f A LaTex expression showing 4p + 11p + 12 = 72
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5n + r = 49\\r = 9n + 7\\n = ?
a A LaTex expression showing 5n + 9n + 2 = 4
b A LaTex expression showing 4n - 9n - 1 = 49
c A LaTex expression showing 5n + 4n - 5 = 49
d A LaTex expression showing 5n + 9n + 7 = 49
e A LaTex expression showing 4n + 9n + 1 = 49
f A LaTex expression showing 5n + 4n + 5 = 49
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 6z + y = 44\\y = 6z + 8\\z = ?
a A LaTex expression showing 6z + 6z + 2 = 4
b A LaTex expression showing 5z + 6z + 8 = 44
c A LaTex expression showing 6z + 4z + 5 = 44
d A LaTex expression showing 6z + 6z + 8 = 44
e A LaTex expression showing 4z - 6z - 1 = 44
f A LaTex expression showing 4z + 6z + 1 = 44
Linear Equation Systems - Simple Equation Substitution To Equation (Level 1) - Mobius Math Academy