This math topic focuses on solving linear equation systems through simple number substitution. Specifically, it addresses substituting a given variable's value from one equation into another to isolate and solve for a different variable. Practice is structured around multiple problems where a system of equations is presented, and learners must substitute the known value to find the unknown variable. Each problem provides several choices for the answer, enhancing understanding and mastery of algebraic concepts within the broad unit on introductory algebra systems of equations.

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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 9b - 9z = 27\\z = 3\\b = ?
a A LaTex expression showing b = 9
b A LaTex expression showing b = 8
c A LaTex expression showing b = 5
d A LaTex expression showing b = 6
e A LaTex expression showing b = 4
f A LaTex expression showing b = 27
2
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 6p + 3z = 63\\z = 9\\p = ?
a A LaTex expression showing p = 9
b A LaTex expression showing p = 4
c A LaTex expression showing p = 5
d A LaTex expression showing p = 8
e A LaTex expression showing p = 6
f A LaTex expression showing p = 27
3
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 8d - 4m = 12\\m = 11\\d = ?
a A LaTex expression showing d = 5
b A LaTex expression showing d = 9
c A LaTex expression showing d = 6
d A LaTex expression showing d = 10
e A LaTex expression showing d = 7
f A LaTex expression showing d = 44
4
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 3x + 8n = 103\\n = 11\\x = ?
a A LaTex expression showing x = 5
b A LaTex expression showing x = 88
c A LaTex expression showing x = 4
d A LaTex expression showing x = 7
e A LaTex expression showing x = 3
f A LaTex expression showing x = 8
5
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 5z + 11y = 69\\y = 4\\z = ?
a A LaTex expression showing z = 44
b A LaTex expression showing z = 4
c A LaTex expression showing z = 5
d A LaTex expression showing z = 7
e A LaTex expression showing z = 3
f A LaTex expression showing z = 8
6
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 7b + 12d = 78\\d = 3\\b = ?
a A LaTex expression showing b = 8
b A LaTex expression showing b = 5
c A LaTex expression showing b = 36
d A LaTex expression showing b = 9
e A LaTex expression showing b = 6
f A LaTex expression showing b = 4
7
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 12c - 2m = 12\\m = 12\\c = ?
a A LaTex expression showing c = 5
b A LaTex expression showing c = 6
c A LaTex expression showing c = 1
d A LaTex expression showing c = 3
e A LaTex expression showing c = 24
f A LaTex expression showing c = 2
8
Solve for the variable by substituting the second equation into the first
A LaTex expression showing 9y - 3m = 72\\m = 3\\y = ?
a A LaTex expression showing y = 11
b A LaTex expression showing y = 7
c A LaTex expression showing y = 8
d A LaTex expression showing y = 9
e A LaTex expression showing y = 12