This math topic focuses on practicing simple number substitution into linear equations within systems of equations. It includes exercises on substituting given numerical values for variables to reformulate equations and solve for the unknowns. Each question follows a similar format, providing students with an initial equation and a value to be substituted. The worksheet contains multiple-choice answers for each problem, where only one of the provided equations correctly integrates the substitution. This practice helps enhance students' understanding of constructing and solving linear equations within algebraic systems.

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Linear Equation Systems - Simple Number Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Number Substitution To Equation (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
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 4z + d = 19\\d = 7\\z = ?
a A LaTex expression showing 4z + 5 = 19
b A LaTex expression showing 3z + 7 = z
c A LaTex expression showing 4z + 7 = 19
d A LaTex expression showing 4z - 7 = 19
e A LaTex expression showing 4z - 4 = 19
2
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 10p - x = 53\\x = 7\\p = ?
a A LaTex expression showing 10p + 7 = 53
b A LaTex expression showing 10p + 8 = 53
c A LaTex expression showing 10p - 7 = 53
d A LaTex expression showing 6p + 7 = p
e A LaTex expression showing 9p + 7 = p
3
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 4y - m = 8\\m = 4\\y = ?
a A LaTex expression showing 4y + 5 = 8
b A LaTex expression showing 3y + 4 = y
c A LaTex expression showing 6y + 4 = y
d A LaTex expression showing 4y - 4 = 8
e A LaTex expression showing 4y + 4 = 8
4
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 5c + r = 42\\r = 2\\c = ?
a A LaTex expression showing 8c + 2 = c
b A LaTex expression showing 5c + 2 = 42
c A LaTex expression showing 5c - 9 = 42
d A LaTex expression showing 5c - 2 = 42
e A LaTex expression showing 5c + 10 = 42
5
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 7y + z = 60\\z = 4\\y = ?
a A LaTex expression showing 8y + 4 = y
b A LaTex expression showing 7y - 4 = 60
c A LaTex expression showing 7y - 9 = 60
d A LaTex expression showing 7y + 4 = 60
e A LaTex expression showing 7y + 10 = 60
6
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 12p - x = 79\\x = 5\\p = ?
a A LaTex expression showing 7p + 5 = p
b A LaTex expression showing 12p - 5 = 79
c A LaTex expression showing 10p + 5 = p
d A LaTex expression showing 12p - 8 = 79
e A LaTex expression showing 12p + 9 = 79
f A LaTex expression showing 12p + 5 = 79
7
Substitute the given number for the variable to form a single solvable equation
A LaTex expression showing 2y + z = 22\\z = 12\\y = ?
a A LaTex expression showing 2y + 7 = 22
b A LaTex expression showing 5y + 12 = y
c A LaTex expression showing 2y - 12 = 22
d A LaTex expression showing 2y - 6 = 22
e A LaTex expression showing 2y + 12 = 22