This math topic focuses on advanced algebra concepts, particularly on balancing shapes using equations. Students are presented with balance beam scenarios, for which they must determine the correct associated equation and solution. These exercises are aimed at practicing simple substitution in multi-variable equations to ascertain how changes in one variable affect others, thus cultivating an understanding of relationships between different algebraic elements. The content is designed to enhance students’ problem-solving skills in a practical, visual format, integrating theory with intuitive graphical representations. This is a Level 3 exercise, indicating more complex algebraic challenges.

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 5t=10s\\6c=3s\\4c=t
b A LaTex expression showing 5t=10s+c\\6c+t=3s\\3c=t
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 8t=4c\\3s=12c\\s=8t
b A LaTex expression showing 8t=c\\4s=12c\\s=11t
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 3c=4t\\3s+c=6c\\3t=s
b A LaTex expression showing 3c=6t\\3s=6c\\4t=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 12t=4s\\4t=8c\\s=6c
b A LaTex expression showing 12t=4s\\4t=8c\\s=8c
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 3c=6t\\2s=6c\\s=6t
b A LaTex expression showing 3c=6t\\2s=6c\\s=3t
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 2c=8t\\4t=8s\\c=8s+c
b A LaTex expression showing 2c=8t\\4t=8s\\c=8s
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 9s=3c\\4s=12t\\9t=c
b A LaTex expression showing 9s=3c\\4s=12t\\7t=c
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 3c=9s\\12c=4t\\9s=t
b A LaTex expression showing 3c=9s\\12c=4t\\11s=t