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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Linear Equation Systems - Simple Number Substitution
1
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5z - x = 12\\x = 3\\z = ?
a A LaTex expression showing z = 3
b A LaTex expression showing z = 6
c A LaTex expression showing z = 1
d A LaTex expression showing z = 4
e A LaTex expression showing z = 5
f A LaTex expression showing z = 2
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8p + z = 54\\z = 6\\p = ?
a A LaTex expression showing p = 8
b A LaTex expression showing p = 6
c A LaTex expression showing p = 7
d A LaTex expression showing p = 9
e A LaTex expression showing p = 4
f A LaTex expression showing p = 5
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5c - n = 7\\n = 8\\c = ?
a A LaTex expression showing c = 6
b A LaTex expression showing c = 2
c A LaTex expression showing c = 4
d A LaTex expression showing c = 1
e A LaTex expression showing c = 5
f A LaTex expression showing c = 3
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6p + d = 38\\d = 8\\p = ?
a A LaTex expression showing p = 5
b A LaTex expression showing p = 8
c A LaTex expression showing p = 3
d A LaTex expression showing p = 4
e A LaTex expression showing p = 7
f A LaTex expression showing p = 6
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 2n - b = 4\\b = 12\\n = ?
a A LaTex expression showing n = 8
b A LaTex expression showing n = 7
c A LaTex expression showing n = 10
d A LaTex expression showing n = 6
e A LaTex expression showing n = 11
f A LaTex expression showing n = 9
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 10b - y = 19\\y = 11\\b = ?
a A LaTex expression showing b = 1
b A LaTex expression showing b = 3
c A LaTex expression showing b = 4
d A LaTex expression showing b = 2
e A LaTex expression showing b = 6
f A LaTex expression showing b = 5
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 3m - y = 11\\y = 4\\m = ?
a A LaTex expression showing m = 6
b A LaTex expression showing m = 4
c A LaTex expression showing m = 7
d A LaTex expression showing m = 3
e A LaTex expression showing m = 8
f A LaTex expression showing m = 5
8
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 = 7
b A LaTex expression showing n = 5
c A LaTex expression showing n = 8
d A LaTex expression showing n = 4
e A LaTex expression showing n = 3
f A LaTex expression showing n = 6