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

Level 3

This math topic focuses on the application of algebra to balance scales, using substitution and subtraction to find solutions to equations. It challenges students to deduce relationships expressed through visual balance scales, converting these scenarios into algebraic equations. The skills practiced entail identifying and solving equations based on the visual information given, reinforcing basic to advanced concepts of algebra. The equations involve variables represented by balance shapes, where students must determine how these shapes relate to each other quantitatively to maintain balance, reflecting an advanced understanding of algebraic expressions and relationships.

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

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

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