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Linear Equation Systems - Simple Addition To Equation (Level 1)

This math topic focuses on solving systems of linear equations by adding or subtracting multiples of one equation to another to create a single, solvable equation. It addresses introductory algebra concepts related to manipulating equations to isolate variables and find solutions. Each problem presents a pair of simultaneous equations with specific instructions to combine them, streamlining the system into one equation that can be solved for the variable of interest. The issues also provide multiple possible numerical answers to reinforce the concept of checking solutions within the context of linear equations.

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Linear Equation Systems - Simple Addition To Equation

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


Add or subtract multiples of the second equation to the first equation to form a single solvable equation

6n+8m=28−6n+5m=−2m=?6n + 8m = 28\\-6n + 5m = -2\\m = ?

Linear Equation Systems - Simple Addition To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Addition To Equation (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
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 12c + 12p = 120\\8c - 12p = -80\\c = ?
a A LaTex expression showing 20c = 120
b A LaTex expression showing -80c = 120
c A LaTex expression showing 20c = 20
d A LaTex expression showing 20c = 40
e A LaTex expression showing 40c = 5
f A LaTex expression showing 40c = 20
2
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 9p + 12r = 105\\5p - 12r = -35\\p = ?
a A LaTex expression showing 14p = 14
b A LaTex expression showing 14p = 70
c A LaTex expression showing 14p = 105
d A LaTex expression showing 70p = 8
e A LaTex expression showing -35p = 105
f A LaTex expression showing 70p = 14
3
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 7y + 2p = 55\\-7y + 5p = -34\\p = ?
a A LaTex expression showing 7p = 55
b A LaTex expression showing 7p = 7
c A LaTex expression showing 7p = 21
d A LaTex expression showing -34p = 55
e A LaTex expression showing 21p = 6
f A LaTex expression showing 21p = 7
4
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 7d + 11r = 90\\6d - 11r = -25\\d = ?
a A LaTex expression showing 13d = 13
b A LaTex expression showing 65d = 13
c A LaTex expression showing 13d = 65
d A LaTex expression showing -25d = 90
e A LaTex expression showing 65d = 8
f A LaTex expression showing 13d = 90
5
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 7m + 4b = 59\\9m - 4b = 21\\m = ?
a A LaTex expression showing 16m = 80
b A LaTex expression showing 80m = 8
c A LaTex expression showing 80m = 16
d A LaTex expression showing 21m = 59
e A LaTex expression showing 16m = 59
f A LaTex expression showing 16m = 16
6
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 11b + 3p = 65\\10b - 3p = 19\\b = ?
a A LaTex expression showing 19b = 65
b A LaTex expression showing 21b = 84
c A LaTex expression showing 21b = 21
d A LaTex expression showing 84b = 21
e A LaTex expression showing 21b = 65
f A LaTex expression showing 84b = 7
7
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 9r + 10n = 74\\-9r + 4n = -46\\n = ?
a A LaTex expression showing 28n = 5
b A LaTex expression showing 14n = 74
c A LaTex expression showing 14n = 14
d A LaTex expression showing 28n = 14
e A LaTex expression showing -46n = 74
f A LaTex expression showing 14n = 28