This math topic involves practicing the skill of substituting one linear equation into another to form a single solvable equation. It includes multiple examples where students need to perform these substitutions, simplify the equations, and solve for variables. This topic falls under Algebra Systems of Equations - Intro, targeting a process integral to solving systems of linear equations through substitution. Each problem presents an equation with variables and constants, requiring the manipulation of algebraic expressions to isolate and determine the value of unknowns.

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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 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 equation into the first equation to form a single solvable equation
A LaTex expression showing 70n - 9c = 69\\c = 7n - 3\\n = ?
a A LaTex expression showing 63n - 7n + 4 = 69
b A LaTex expression showing 63n - 7n - 4 = 69
c A LaTex expression showing 70n - 63n + 27 = 69
d A LaTex expression showing 70n + 63n - 27 = 69
e A LaTex expression showing 70n - 7n + 5 = 63
f A LaTex expression showing 27n - 7n + 3 = 69
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 45n - 12z = 123\\z = 3n - 8\\n = ?
a A LaTex expression showing 36n - 3n - 1 = 123
b A LaTex expression showing 45n + 36n - 96 = 123
c A LaTex expression showing 45n - 3n + 2 = 36
d A LaTex expression showing 45n - 36n + 96 = 123
e A LaTex expression showing 36n - 3n + 1 = 123
f A LaTex expression showing 96n - 3n + 8 = 123
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12b - 5z = 59\\z = 2b - 11\\b = ?
a A LaTex expression showing 12b + 10b - 55 = 59
b A LaTex expression showing 55b - 2b + 11 = 59
c A LaTex expression showing 10b - 2b + 0 = 59
d A LaTex expression showing 10b - 2b - 0 = 59
e A LaTex expression showing 12b - 10b + 55 = 59
f A LaTex expression showing 12b - 2b + 1 = 10
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 47m - 4x = 84\\x = 9m - 10\\m = ?
a A LaTex expression showing 47m - 9m + 3 = 36
b A LaTex expression showing 36m - 9m + 2 = 84
c A LaTex expression showing 36m - 9m - 2 = 84
d A LaTex expression showing 47m + 36m - 40 = 84
e A LaTex expression showing 47m - 36m + 40 = 84
f A LaTex expression showing 40m - 9m + 10 = 84
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 7x - 2d = 2\\d = 2x + 11\\x = ?
a A LaTex expression showing 22x - 2x + 11 = 2
b A LaTex expression showing 7x - 2x + 7 = 4
c A LaTex expression showing 7x - 4x - 22 = 2
d A LaTex expression showing 4x - 2x - 6 = 2
e A LaTex expression showing 4x - 2x + 6 = 2
f A LaTex expression showing 7x + 4x - 22 = 2
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 49d - 10n = 114\\n = 4d - 6\\d = ?
a A LaTex expression showing 40d - 4d - 4 = 114
b A LaTex expression showing 49d - 4d + 5 = 40
c A LaTex expression showing 40d - 4d + 4 = 114
d A LaTex expression showing 60d - 4d + 6 = 114
e A LaTex expression showing 49d + 40d - 60 = 114
f A LaTex expression showing 49d - 40d + 60 = 114
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12n - 2x = 26\\x = 3n + 2\\n = ?
a A LaTex expression showing 6n - 3n + 3 = 26
b A LaTex expression showing 6n - 3n - 3 = 26
c A LaTex expression showing 4n - 3n + 2 = 26
d A LaTex expression showing 12n + 6n - 4 = 26
e A LaTex expression showing 12n - 3n + 4 = 6
f A LaTex expression showing 12n - 6n - 4 = 26
Linear Equation Systems - Simple Equation Substitution To Equation (Level 3) - Mobius Math