Balance Shapes - Simple Substitution - To Equation Answer

Level 3

This math topic focuses on the advanced concepts of algebra, particularly on understanding balance shapes, simple substitution, and forming equations from them. It consists of multiple questions requiring learners to analyze the equivalence of shapes placed on the scales of balance and to construct an algebraic equation representing the balance's solution. Interpretation of given algebraic expressions as potential solutions to these problems is also practiced.

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

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Balance Shapes - Simple Substitution - To Equation Answer Worksheet

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Balance Shapes - Simple Substitution - 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 c=2s
b A LaTex expression showing c=3s
c A LaTex expression showing c=9s
d A LaTex expression showing c=4s
e A LaTex expression showing c=6s
2
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 10t=c
b A LaTex expression showing 8t=c
c A LaTex expression showing 8t + 3c=c
d A LaTex expression showing 8t + c=c
3
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 7s=t
b A LaTex expression showing 8s=t
c A LaTex expression showing 4s=t
d A LaTex expression showing 5s=t
e A LaTex expression showing 6s=t
4
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 4c=s
b A LaTex expression showing 9c=s
c A LaTex expression showing 10c=s
d A LaTex expression showing 7c=s
e A LaTex expression showing 6c=s
5
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing s=t
b A LaTex expression showing 4s=t
c A LaTex expression showing s + c=t
d A LaTex expression showing 4c=t
e A LaTex expression showing c=t
6
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 12s=c
b A LaTex expression showing 9s=c
c A LaTex expression showing 4s=c
d A LaTex expression showing 7s=c
7
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 7t=s
b A LaTex expression showing 5t=s
c A LaTex expression showing 2t=s
d A LaTex expression showing 8t=s
e A LaTex expression showing c=s
8
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c=15t
b A LaTex expression showing c=13t
c A LaTex expression showing c=11t
d A LaTex expression showing c=17t
e A LaTex expression showing c=8t