This math topic focuses on solving systems of linear equations through simple addition and subtraction techniques. The problems require students to find the value of a variable by performing the elimination method, utilizing addition or subtraction of multiples from one equation to another. Each question presents a pair of linear equations with multiple-choice answers for the solution of the variable. It serves as an introduction to handling algebraic systems of equations at a basic level.

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Linear Equation Systems - Simple Addition Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Addition (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
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10n + 4b = 78\\2n - 4b = -18\\n = ?
a A LaTex expression showing n = 4
b A LaTex expression showing n = 60
c A LaTex expression showing n = -18
d A LaTex expression showing n = 5
e A LaTex expression showing n = 12
f A LaTex expression showing n = 8
2
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 7c + 10m = 132\\-7c + 4m = -6\\m = ?
a A LaTex expression showing m = 8
b A LaTex expression showing m = -6
c A LaTex expression showing m = 12
d A LaTex expression showing m = 9
e A LaTex expression showing m = 126
f A LaTex expression showing m = 14
3
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 2x + 9z = 68\\7x - 9z = -5\\x = ?
a A LaTex expression showing x = 10
b A LaTex expression showing x = 9
c A LaTex expression showing x = 63
d A LaTex expression showing x = 7
e A LaTex expression showing x = 6
f A LaTex expression showing x = -5
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 11x + 2p = 54\\-11x + 8p = -4\\p = ?
a A LaTex expression showing p = 50
b A LaTex expression showing p = 10
c A LaTex expression showing p = 8
d A LaTex expression showing p = 5
e A LaTex expression showing p = 4
f A LaTex expression showing p = -4
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10r + 4b = 94\\4r - 4b = 4\\r = ?
a A LaTex expression showing r = 98
b A LaTex expression showing r = 7
c A LaTex expression showing r = 10
d A LaTex expression showing r = 4
e A LaTex expression showing r = 6
f A LaTex expression showing r = 14
6
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 9c + 3y = 102\\-9c + 8y = -25\\y = ?
a A LaTex expression showing y = 77
b A LaTex expression showing y = 11
c A LaTex expression showing y = 10
d A LaTex expression showing y = 6
e A LaTex expression showing y = 7
f A LaTex expression showing y = -25
7
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 11b + 5d = 42\\-11b + 4d = -6\\d = ?
a A LaTex expression showing d = 4
b A LaTex expression showing d = 9
c A LaTex expression showing d = -6
d A LaTex expression showing d = 7
e A LaTex expression showing d = 36
f A LaTex expression showing d = 3