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