This math topic focuses on practicing skills related to substituting given numbers for variables in linear equation systems. Each problem presents a linear equation with one variable defined, requiring the student to perform simple number substitutions to solve for the unknown variable. The content is framed within an introductory unit on Algebra Systems of Equations, enhancing understanding of forming and solving linear equations by substitution.

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Linear Equation Systems - Simple Number Substitution To Equation Worksheet

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Linear Equation Systems - Simple Number Substitution To Equation
1
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 2z + 12r = 120\\r = 9\\z = ?
a A LaTex expression showing 2z + 8 = 120
b A LaTex expression showing 2z + 108 = 120
c A LaTex expression showing 2z - 9 = 120
d A LaTex expression showing 2z + 9 = 120
e A LaTex expression showing 6z + 9 = z
f A LaTex expression showing 9z + 9 = z
2
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 8c - 2m = 22\\m = 5\\c = ?
a A LaTex expression showing 8c + 10 = 22
b A LaTex expression showing 8c + 5 = 22
c A LaTex expression showing 8c + 6 = 22
d A LaTex expression showing 4c + 5 = c
e A LaTex expression showing 8c - 10 = 22
f A LaTex expression showing 7c + 5 = c
3
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 11y + 12n = 106\\n = 7\\y = ?
a A LaTex expression showing 11y + 7 = 106
b A LaTex expression showing 11y - 5 = 106
c A LaTex expression showing 2y + 7 = y
d A LaTex expression showing 11y + 84 = 106
e A LaTex expression showing 11y + 4 = 106
f A LaTex expression showing 5y + 7 = y
4
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 12x - 5b = 41\\b = 11\\x = ?
a A LaTex expression showing 12x + 10 = 41
b A LaTex expression showing 12x + 11 = 41
c A LaTex expression showing 12x - 55 = 41
d A LaTex expression showing 8x + 11 = x
e A LaTex expression showing 12x + 55 = 41
f A LaTex expression showing 11x + 11 = x
5
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 12r - 4d = 52\\d = 2\\r = ?
a A LaTex expression showing 12r - 8 = 52
b A LaTex expression showing 12r + 8 = 52
c A LaTex expression showing 8r + 2 = r
d A LaTex expression showing 5r + 2 = r
e A LaTex expression showing 12r + 2 = 52
f A LaTex expression showing 12r + 7 = 52
6
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 12c - 11r = 7\\r = 7\\c = ?
a A LaTex expression showing 12c + 77 = 7
b A LaTex expression showing 12c - 77 = 7
c A LaTex expression showing 7c + 7 = c
d A LaTex expression showing 10c + 7 = c
e A LaTex expression showing 12c + 7 = 7
f A LaTex expression showing 12c + 9 = 7
7
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 4p + 8d = 104\\d = 9\\p = ?
a A LaTex expression showing 11p + 9 = p
b A LaTex expression showing 4p + 72 = 104
c A LaTex expression showing 4p + 10 = 104
d A LaTex expression showing 4p + 9 = 104
e A LaTex expression showing 8p + 9 = p
f A LaTex expression showing 4p - 11 = 104
8
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 3c + 6d = 81\\d = 11\\c = ?
a A LaTex expression showing 3c + 11 = 81
b A LaTex expression showing 3c + 7 = 81
c A LaTex expression showing 8c + 11 = c
d A LaTex expression showing 3c - 8 = 81
e A LaTex expression showing 3c + 66 = 81
f A LaTex expression showing 5c + 11 = c