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Linear Equation Systems - Simple Addition (Level 2)

This math topic focuses on solving systems of linear equations using simple addition or subtraction techniques to simplify and solve for unknown variables. It covers problems where learners manipulate and combine equations to isolate and find the values of variables. Each problem consists of two equations with two variables, and the task is to solve for one of the variables by eliminating the other through addition or subtraction of the equations. Each question offers multiple choice answers, enhancing problem-solving and algebraic manipulation skills.

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

2b+8r=383b−2r=15b=?2b + 8r = 38\\3b - 2r = 15\\b = ?

Linear Equation Systems - Simple Addition Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Addition (Level 2)'. 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 4y + 10b = 114\\2y - 5b = -33\\y = ?
a A LaTex expression showing y = -33
b A LaTex expression showing y = 9
c A LaTex expression showing y = 48
d A LaTex expression showing y = 5
e A LaTex expression showing y = 8
f A LaTex expression showing y = 6
2
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 10x + 10y = 140\\2x - 5y = -7\\x = ?
a A LaTex expression showing x = 9
b A LaTex expression showing x = 14
c A LaTex expression showing x = 126
d A LaTex expression showing x = 12
e A LaTex expression showing x = 8
f A LaTex expression showing x = -7
3
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 2b + 8r = 38\\3b - 2r = 15\\b = ?
a A LaTex expression showing b = 14
b A LaTex expression showing b = 6
c A LaTex expression showing b = 10
d A LaTex expression showing b = 98
e A LaTex expression showing b = 15
f A LaTex expression showing b = 7
4
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 4d + 9p = 99\\2d - 3p = -3\\d = ?
a A LaTex expression showing d = 9
b A LaTex expression showing d = 8
c A LaTex expression showing d = -3
d A LaTex expression showing d = 10
e A LaTex expression showing d = 12
f A LaTex expression showing d = 90
5
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 12m + 12x = 108\\2m - 6x = -38\\m = ?
a A LaTex expression showing m = 5
b A LaTex expression showing m = -38
c A LaTex expression showing m = 2
d A LaTex expression showing m = 16
e A LaTex expression showing m = 32
f A LaTex expression showing m = 1
6
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 8c + 3n = 52\\-2c + 2n = -2\\n = ?
a A LaTex expression showing n = 11
b A LaTex expression showing n = 7
c A LaTex expression showing n = 3
d A LaTex expression showing n = -2
e A LaTex expression showing n = 44
f A LaTex expression showing n = 4
7
Solve for the variable by adding or subtracting multiples of the second equation to the first
A LaTex expression showing 6m + 6c = 90\\-3m + 2c = -10\\c = ?
a A LaTex expression showing c = -10
b A LaTex expression showing c = 6
c A LaTex expression showing c = 7
d A LaTex expression showing c = 70
e A LaTex expression showing c = 10
f A LaTex expression showing c = 10