This math topic focuses on solving systems of linear equations through the method of variable substitution, aimed at beginners. Each question presents a system with two equations where students must substitute one variable equation into the other to form a single solvable equation. The student's task is to simplify these equations and solve for the unknown variables, enhancing their algebraic manipulation and equation solving skills. This set of problems is part of a broader introduction to algebraic 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 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 second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 3x + c = 25\\c = 2x\\x = ?
a A LaTex expression showing 3x + 2x = 25
b A LaTex expression showing 3x + 2 = 25
c A LaTex expression showing 3x + 7x = 25
d A LaTex expression showing 8x + 2 = x
e A LaTex expression showing 3x - 7x = 25
f A LaTex expression showing 3x + 6x = 25
2
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 4b - r = 9\\r = 3b\\b = ?
a A LaTex expression showing 4b - 3b = 9
b A LaTex expression showing 4b + 3 = 9
c A LaTex expression showing 4b + 3b = 9
d A LaTex expression showing 12b + 3 = b
e A LaTex expression showing 4b + 11b = 9
f A LaTex expression showing 4b - 11b = 9
3
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 10r + m = 42\\m = 11r\\r = ?
a A LaTex expression showing 10r + 3r = 42
b A LaTex expression showing 10r - 4r = 42
c A LaTex expression showing 10r + 4r = 42
d A LaTex expression showing 5r + 11 = r
e A LaTex expression showing 10r + 11r = 42
f A LaTex expression showing 10r + 11 = 42
4
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 6r + d = 40\\d = 2r\\r = ?
a A LaTex expression showing 6r + 7r = 40
b A LaTex expression showing 6r - 7r = 40
c A LaTex expression showing 6r + 6r = 40
d A LaTex expression showing 6r + 2r = 40
e A LaTex expression showing 6r + 2 = 40
f A LaTex expression showing 8r + 2 = r
5
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 12n + b = 80\\b = 8n\\n = ?
a A LaTex expression showing 12n + 5n = 80
b A LaTex expression showing 12n + 8n = 80
c A LaTex expression showing 12n + 6n = 80
d A LaTex expression showing 7n + 8 = n
e A LaTex expression showing 12n + 8 = 80
f A LaTex expression showing 12n - 6n = 80
6
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 3p + y = 44\\y = 8p\\p = ?
a A LaTex expression showing 3p + 5p = 44
b A LaTex expression showing 3p + 8 = 44
c A LaTex expression showing 7p + 8 = p
d A LaTex expression showing 3p + 8p = 44
e A LaTex expression showing 3p + 6p = 44
f A LaTex expression showing 3p - 6p = 44
7
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 11x + y = 144\\y = 5x\\x = ?
a A LaTex expression showing 11x + 10x = 144
b A LaTex expression showing 11x + 5x = 144
c A LaTex expression showing 11x + 5 = 144
d A LaTex expression showing 11x - 11x = 144
e A LaTex expression showing 11x + 11x = 144
f A LaTex expression showing 12x + 5 = x
Linear Equation Systems - Simple Variable Substitution To Equation (Level 1) - Mobius Math