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

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

7b+4d=928b−4d=28b=?7b + 4d = 92\\8b - 4d = 28\\b = ?

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 9c + 8z = 77\\-9c + 10z = -5\\z = ?
a A LaTex expression showing 72z = 7
b A LaTex expression showing 18z = 77
c A LaTex expression showing 18z = 18
d A LaTex expression showing 18z = 72
e A LaTex expression showing -5z = 77
f A LaTex expression showing 72z = 18
2
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 8y + 5m = 117\\-8y + 9m = 9\\m = ?
a A LaTex expression showing 14m = 126
b A LaTex expression showing 126m = 14
c A LaTex expression showing 14m = 117
d A LaTex expression showing 126m = 12
e A LaTex expression showing 14m = 14
f A LaTex expression showing 9m = 117
3
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 6n + 8m = 28\\-6n + 5m = -2\\m = ?
a A LaTex expression showing 13m = 13
b A LaTex expression showing 13m = 26
c A LaTex expression showing 26m = 5
d A LaTex expression showing 26m = 13
e A LaTex expression showing 13m = 28
f A LaTex expression showing -2m = 28
4
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 7c + 2n = 20\\6c - 2n = 6\\c = ?
a A LaTex expression showing 13c = 26
b A LaTex expression showing 13c = 20
c A LaTex expression showing 13c = 13
d A LaTex expression showing 26c = 13
e A LaTex expression showing 6c = 20
f A LaTex expression showing 26c = 5
5
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 9z + 4b = 62\\7z - 4b = 34\\z = ?
a A LaTex expression showing 16z = 16
b A LaTex expression showing 16z = 62
c A LaTex expression showing 34z = 62
d A LaTex expression showing 96z = 9
e A LaTex expression showing 16z = 96
f A LaTex expression showing 96z = 16
6
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 -46n = 74
b A LaTex expression showing 14n = 74
c A LaTex expression showing 28n = 5
d A LaTex expression showing 28n = 14
e A LaTex expression showing 14n = 28
f A LaTex expression showing 14n = 14
7
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 = 21
b A LaTex expression showing 7p = 55
c A LaTex expression showing 21p = 6
d A LaTex expression showing 21p = 7
e A LaTex expression showing -34p = 55
f A LaTex expression showing 7p = 7