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Linear Equation Systems - Simple Addition (Level 3)

This math topic involves solving systems of linear equations using the method of addition or subtraction to eliminate variables and find their values. The problems presented require manipulating multiples of one equation and adding or subtracting from another to isolate and solve for variables such as \(x\), \(d\), \(b\), \(y\), and \(c\). Each question offers multiple choice answers, enhancing problem-solving and critical thinking skills within the introductory unit of Algebra Systems of Equations.

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

5x+10y=408x+5y=31x=?5x + 10y = 40\\8x + 5y = 31\\x = ?

Linear Equation Systems - Simple Addition Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Addition (Level 3)'. 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 8x + 8p = 72\\3x + 2p = 23\\x = ?
a A LaTex expression showing x = 4
b A LaTex expression showing x = -4
c A LaTex expression showing x = 5
d A LaTex expression showing x = -20
e A LaTex expression showing x = 8
f A LaTex expression showing x = 23
2
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 6z + 6x = 24\\7z + 2x = 18\\z = ?
a A LaTex expression showing z = -30
b A LaTex expression showing z = 5
c A LaTex expression showing z = -15
d A LaTex expression showing z = 18
e A LaTex expression showing z = 2
f A LaTex expression showing z = 1
3
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 9y + 6c = 54\\6y + 3c = 33\\y = ?
a A LaTex expression showing y = -12
b A LaTex expression showing y = -3
c A LaTex expression showing y = 3
d A LaTex expression showing y = 33
e A LaTex expression showing y = 4
f A LaTex expression showing y = 7
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10d + 10n = 110\\4d + 2n = 26\\d = ?
a A LaTex expression showing d = 2
b A LaTex expression showing d = 26
c A LaTex expression showing d = -10
d A LaTex expression showing d = 5
e A LaTex expression showing d = -20
f A LaTex expression showing d = 1
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 9n + 6c = 66\\7n + 2c = 46\\n = ?
a A LaTex expression showing n = 9
b A LaTex expression showing n = 46
c A LaTex expression showing n = 6
d A LaTex expression showing n = 5
e A LaTex expression showing n = -72
f A LaTex expression showing n = -12
6
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 7b + 12c = 100\\6b + 4c = 48\\b = ?
a A LaTex expression showing b = -44
b A LaTex expression showing b = 48
c A LaTex expression showing b = -11
d A LaTex expression showing b = 7
e A LaTex expression showing b = 3
f A LaTex expression showing b = 4
7
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 7x + 6b = 40\\3x + 2b = 16\\x = ?
a A LaTex expression showing x = 4
b A LaTex expression showing x = 3
c A LaTex expression showing x = 16
d A LaTex expression showing x = -2
e A LaTex expression showing x = 7
f A LaTex expression showing x = -8