Linear Equation Systems - Simple Addition (Level 1)

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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Linear Equation Systems - Simple Addition

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve for the variable by adding or subtracting multiples of the second equation to the first

10n+4b=782n4b=18n=?10n + 4b = 78\\2n - 4b = -18\\n = ?

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 3m + 5n = 16\\7m - 5n = 4\\m = ?
a A LaTex expression showing m = 2
b A LaTex expression showing m = 10
c A LaTex expression showing m = 1
d A LaTex expression showing m = 5
e A LaTex expression showing m = 4
f A LaTex expression showing m = 20
2
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 4m + 3x = 40\\-4m + 12x = 80\\x = ?
a A LaTex expression showing x = 80
b A LaTex expression showing x = 11
c A LaTex expression showing x = 15
d A LaTex expression showing x = 120
e A LaTex expression showing x = 7
f A LaTex expression showing x = 8
3
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 3y + 7d = 55\\5y - 7d = 17\\y = ?
a A LaTex expression showing y = 9
b A LaTex expression showing y = 17
c A LaTex expression showing y = 8
d A LaTex expression showing y = 72
e A LaTex expression showing y = 12
f A LaTex expression showing y = 8
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10x + 10c = 100\\8x - 10c = -46\\x = ?
a A LaTex expression showing x = 54
b A LaTex expression showing x = 18
c A LaTex expression showing x = -46
d A LaTex expression showing x = 6
e A LaTex expression showing x = 2
f A LaTex expression showing x = 3
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 2x + 9n = 26\\-2x + 5n = 2\\n = ?
a A LaTex expression showing n = 5
b A LaTex expression showing n = 14
c A LaTex expression showing n = 28
d A LaTex expression showing n = 1
e A LaTex expression showing n = 2
6
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 = 9
b A LaTex expression showing m = 14
c A LaTex expression showing m = 126
d A LaTex expression showing m = 12
e A LaTex expression showing m = -6
f A LaTex expression showing m = 8
7
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 = 6
b A LaTex expression showing y = 11
c A LaTex expression showing y = 7
d A LaTex expression showing y = -25
e A LaTex expression showing y = 10
f A LaTex expression showing y = 77