This math topic focuses on algebraic concepts related to balancing equations and simple substitution, as a foundational introduction to algebra. Students are presented with various visual balance beam scenarios, where they are required to deduce the correct set of equations that represent the balance of shapes on the beams. The task tests their ability to apply algebraic operations and logical reasoning to find solutions that satisfy given visual conditions. Each question offers multiple equations, and students need to select the one that correctly represents the balance shown in the accompanying image.

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

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Balance Shapes - Simple Substitution - To Equations And Answer Worksheet

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Balance Shapes - Simple Substitution - To Equations And Answer
1
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 2t=4c\\2s=8t\\8c=s
b A LaTex expression showing 2t=4c\\2s=8t\\7c=s
2
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 6s=2t\\6c=3s\\t=6c
b A LaTex expression showing 6s=5t\\5c=3s\\t=6c+t
3
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 2s=6c\\2c=6t\\s=9t
b A LaTex expression showing 2s=7c\\c=6t\\s=9t+s
4
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 2c=4s\\6c=3t\\4s+c=t
b A LaTex expression showing 2c=4s\\6c=3t\\4s=t
5
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 2t=2c\\c=6c\\4t=s
b A LaTex expression showing 4t=2c\\2s=6c\\6t=s
6
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 9c=2t\\6t=s\\10c=s
b A LaTex expression showing 6c=2t\\6t=2s\\9c=s
7
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 8c=2t\\2s=8t\\s=8c
b A LaTex expression showing 6c=2t\\2s=6t\\s=9c
8
An svg image showing a math problem
Which equation and answer represents these balance beams and the bottom solution
a A LaTex expression showing 2c=8s\\6t=3s\\8t=c
b A LaTex expression showing 2c=8s\\6t=3s\\9t=c