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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Linear Equation Systems - Simple Addition
1
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 4r + 8y = 88\\3r - 8y = -60\\r = ?
a A LaTex expression showing r = -60
b A LaTex expression showing r = 7
c A LaTex expression showing r = 7
d A LaTex expression showing r = 3
e A LaTex expression showing r = 28
f A LaTex expression showing r = 4
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 = 27
b A LaTex expression showing y = -36
c A LaTex expression showing y = 9
d A LaTex expression showing y = 3
e A LaTex expression showing y = 6
f A LaTex expression showing y = 2
3
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 = 120
b A LaTex expression showing x = 80
c A LaTex expression showing x = 15
d A LaTex expression showing x = 11
e A LaTex expression showing x = 8
f A LaTex expression showing x = 7
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 9d + 12b = 87\\3d - 12b = -51\\d = ?
a A LaTex expression showing d = 12
b A LaTex expression showing d = -51
c A LaTex expression showing d = 6
d A LaTex expression showing d = 36
e A LaTex expression showing d = 3
f A LaTex expression showing d = 2
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 11d + 9b = 85\\-11d + 12b = 62\\b = ?
a A LaTex expression showing b = 147
b A LaTex expression showing b = 62
c A LaTex expression showing b = 7
d A LaTex expression showing b = 10
e A LaTex expression showing b = 6
f A LaTex expression showing b = 21
6
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 4m + 7c = 95\\-4m + 6c = 22\\c = ?
a A LaTex expression showing c = 22
b A LaTex expression showing c = 9
c A LaTex expression showing c = 12
d A LaTex expression showing c = 13
e A LaTex expression showing c = 117
f A LaTex expression showing c = 8
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 = 10
e A LaTex expression showing d = 20
f A LaTex expression showing d = 21
8
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10z + 11m = 97\\-10z + 7m = 29\\m = ?
a A LaTex expression showing m = 7
b A LaTex expression showing m = 10
c A LaTex expression showing m = 29
d A LaTex expression showing m = 6
e A LaTex expression showing m = 126
f A LaTex expression showing m = 18