This math topic delves into the practice of solving linear systems of equations using the method of substitution. Specifically, it involves substituting one equation into another to eliminate one of the variables and form a single, solvable algebraic equation. Students learn and apply algebraic techniques to find the value of unknown variables that satisfy both equations in the system, enhancing their problem-solving and algebraic manipulation skills in the context of introductory systems of equations.

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Linear Equation Systems - Simple Variable Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Variable Substitution To Equation (Level 2)'. 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 second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 12x - 2c = 64\\c = 2x\\x = ?
a A LaTex expression showing 12x - 4x = 64
b A LaTex expression showing 11x + 2 = x
c A LaTex expression showing 12x + 2 = 64
d A LaTex expression showing 12x + 4x = 64
e A LaTex expression showing 12x - 10x = 64
f A LaTex expression showing 12x + 10x = 64
2
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 6c + 2m = 88\\m = 8c\\c = ?
a A LaTex expression showing 6c - 7c = 88
b A LaTex expression showing 6c + 8 = 88
c A LaTex expression showing 6c + 6c = 88
d A LaTex expression showing 6c + 16c = 88
e A LaTex expression showing 6c - 6c = 88
f A LaTex expression showing 7c + 8 = c
3
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 3r + 10x = 86\\x = 4r\\r = ?
a A LaTex expression showing 5r + 4 = r
b A LaTex expression showing 3r - 5r = 86
c A LaTex expression showing 3r + 4r = 86
d A LaTex expression showing 3r + 40r = 86
e A LaTex expression showing 3r + 4 = 86
f A LaTex expression showing 3r - 4r = 86
4
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 4b + 4c = 84\\c = 2b\\b = ?
a A LaTex expression showing 4b - 10b = 84
b A LaTex expression showing 4b + 2 = 84
c A LaTex expression showing 4b - 9b = 84
d A LaTex expression showing 10b + 2 = b
e A LaTex expression showing 4b + 8b = 84
f A LaTex expression showing 4b + 9b = 84
5
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 12y + 3x = 126\\x = 3y\\y = ?
a A LaTex expression showing 12y + 9y = 126
b A LaTex expression showing 12y - 9y = 126
c A LaTex expression showing 9y + 3 = y
d A LaTex expression showing 12y + 3 = 126
e A LaTex expression showing 12y + 8y = 126
f A LaTex expression showing 12y - 8y = 126
6
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 2n + 12c = 100\\c = 4n\\n = ?
a A LaTex expression showing 2n + 48n = 100
b A LaTex expression showing 2n + 4 = 100
c A LaTex expression showing 2n - 4n = 100
d A LaTex expression showing 2n + 4n = 100
e A LaTex expression showing 5n + 4 = n
f A LaTex expression showing 2n - 5n = 100
7
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 9d + 3z = 147\\z = 4d\\d = ?
a A LaTex expression showing 9d - 10d = 147
b A LaTex expression showing 9d + 9d = 147
c A LaTex expression showing 9d - 9d = 147
d A LaTex expression showing 9d + 4 = 147
e A LaTex expression showing 10d + 4 = d
f A LaTex expression showing 9d + 12d = 147