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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

3m+5n=167m−5n=4m=?3m + 5n = 16\\7m - 5n = 4\\m = ?

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 7c + 10m = 132\\-7c + 4m = -6\\m = ?
a A LaTex expression showing m = 126
b A LaTex expression showing m = 14
c A LaTex expression showing m = 9
d A LaTex expression showing m = 12
e A LaTex expression showing m = 8
f A LaTex expression showing m = -6
2
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 5z + 6y = 63\\-5z + 3y = -36\\y = ?
a A LaTex expression showing y = -36
b A LaTex expression showing y = 9
c A LaTex expression showing y = 2
d A LaTex expression showing y = 6
e A LaTex expression showing y = 3
f A LaTex expression showing y = 27
3
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 = 5
b A LaTex expression showing n = 12
c A LaTex expression showing n = 60
d A LaTex expression showing n = 8
e A LaTex expression showing n = 4
f A LaTex expression showing n = -18
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 3c + 6m = 36\\7c - 6m = 24\\c = ?
a A LaTex expression showing c = 10
b A LaTex expression showing c = 60
c A LaTex expression showing c = 24
d A LaTex expression showing c = 6
e A LaTex expression showing c = 5
f A LaTex expression showing c = 9
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 5x + 9y = 64\\12x - 9y = -30\\x = ?
a A LaTex expression showing x = 1
b A LaTex expression showing x = -30
c A LaTex expression showing x = 34
d A LaTex expression showing x = 5
e A LaTex expression showing x = 17
f A LaTex expression showing x = 2
6
A LaTex expression showing 11x + 2p = 81\\-11x + 12p = -53\\p = ?
Solve for the variable by adding or subtracting multiples of the second equation to the first
a A LaTex expression showing p = 28
b A LaTex expression showing p = 14
c A LaTex expression showing p = 2
d A LaTex expression showing p = -53
e A LaTex expression showing p = 1
f A LaTex expression showing p = 5
7
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 8d + 9n = 119\\12d - 9n = 21\\d = ?
a A LaTex expression showing d = 7
b A LaTex expression showing d = 6
c A LaTex expression showing d = 140
d A LaTex expression showing d = 20
e A LaTex expression showing d = 10
f A LaTex expression showing d = 21