This math topic focuses on solving linear equations through simple number substitution. It helps in understanding how to utilize given values from one equation and substitute them into another to find the unknown variable. The problems are structured in a way to gradually enhance the learner's capability to handle algebraic equations involving addition, subtraction, and equations with coefficients, featured in a multiple-choice format. This topic forms part of an introductory unit on algebra systems of equations. Each question provides a practical scenario for applying substitution methods in solving linear equations to find variable values like 'n', 'm', 'c', 'z', and 'x'.

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Linear Equation Systems - Simple Number Substitution Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Number Substitution (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
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9p - x = 51\\x = 12\\p = ?
a A LaTex expression showing p = 9
b A LaTex expression showing p = 10
c A LaTex expression showing p = 6
d A LaTex expression showing p = 8
e A LaTex expression showing p = 5
f A LaTex expression showing p = 7
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 3n + z = 19\\z = 4\\n = ?
a A LaTex expression showing n = 6
b A LaTex expression showing n = 3
c A LaTex expression showing n = 5
d A LaTex expression showing n = 7
e A LaTex expression showing n = 4
f A LaTex expression showing n = 8
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 11x - n = 22\\n = 11\\x = ?
a A LaTex expression showing x = 6
b A LaTex expression showing x = 2
c A LaTex expression showing x = 3
d A LaTex expression showing x = 4
e A LaTex expression showing x = 1
f A LaTex expression showing x = 5
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 4x + m = 20\\m = 8\\x = ?
a A LaTex expression showing x = 4
b A LaTex expression showing x = 5
c A LaTex expression showing x = 3
d A LaTex expression showing x = 6
e A LaTex expression showing x = 1
f A LaTex expression showing x = 2
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2b + r = 15\\r = 5\\b = ?
a A LaTex expression showing b = 3
b A LaTex expression showing b = 8
c A LaTex expression showing b = 7
d A LaTex expression showing b = 6
e A LaTex expression showing b = 5
f A LaTex expression showing b = 4
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12y + m = 102\\m = 6\\y = ?
a A LaTex expression showing y = 8
b A LaTex expression showing y = 10
c A LaTex expression showing y = 6
d A LaTex expression showing y = 9
e A LaTex expression showing y = 11
f A LaTex expression showing y = 7
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6c + m = 32\\m = 8\\c = ?
a A LaTex expression showing c = 7
b A LaTex expression showing c = 4
c A LaTex expression showing c = 3
d A LaTex expression showing c = 5
e A LaTex expression showing c = 2
f A LaTex expression showing c = 6