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Balance Shapes - Substitution and Subtraction, Compound Answer - To Equation Answer

Level 1

This math topic focuses on advanced algebra concepts, specifically practicing substitution and subtraction methods in balanced shapes equations. Learners are asked to identify which equations represent solutions to provided balance scale problems to strengthen their abilities in forming algebraic equations. These problems are part of a broader unit on advanced basic algebra concepts, supporting the development of key algebra skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Balance Shapes - Substitution and Subtraction, Compound Answer - To Equation Answer Worksheet

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Balance Shapes - Substitution and Subtraction, Compound Answer - To Equation Answer
1
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 6c=t + c
b A LaTex expression showing c=t + c
c A LaTex expression showing 2c=t + c
d A LaTex expression showing 4c=t + c
e A LaTex expression showing 3c=t + c
2
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 4t + c + s=c + t
b A LaTex expression showing 3t + c + s=c + t
c A LaTex expression showing 4t + c=c + t
d A LaTex expression showing 4t=c + t
e A LaTex expression showing 4t + c + 3s=c + t
3
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c + s=9s
b A LaTex expression showing c + s=4s
c A LaTex expression showing c + s=9s + c
d A LaTex expression showing c + s=6s + c
e A LaTex expression showing c + s=7s
4
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t + c=3s + c
b A LaTex expression showing t + c=2s
c A LaTex expression showing t + c=4s
d A LaTex expression showing t + c=s
e A LaTex expression showing t + c=3s
5
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing s + t=6c + t + s
b A LaTex expression showing s + t=3c + t + s
c A LaTex expression showing s + t=6c + t + 3s
d A LaTex expression showing s + t=6c + 3s
e A LaTex expression showing s + t=3c + t
6
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t + s=7s + t
b A LaTex expression showing t + s=6s
c A LaTex expression showing t + s=7s
d A LaTex expression showing t + s=4s
e A LaTex expression showing t + s=7s + c
7
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing s + c=4c
b A LaTex expression showing s + c=11c
c A LaTex expression showing s + c=5c
d A LaTex expression showing s + c=6c
e A LaTex expression showing s + c=8c
8
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t + c=c
b A LaTex expression showing t + c=s + 2c
c A LaTex expression showing t + c=s + c
d A LaTex expression showing t + c=s + c + t