This math topic focuses on advanced algebraic concepts involving balance shapes, substitution, and subtraction. Students are presented with balance beam problems and must determine the correct equations and solutions. Each question includes visual representations of the problems, followed by multiple choice answers involving algebraic expressions. This is part of a broader unit on advanced basic algebra concepts, suitable for students looking to deepen their understanding of algebra through practical and visually engaging problems.

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 Equations And Answer Worksheet

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Balance Shapes - Substitution and Subtraction, Simple Answer - 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 6t+6s=4c\\4s=t\\c=3t
b A LaTex expression showing 6t+6s=4c+2s\\4s=2t\\c=2t
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 12s=4c\\2c+8s=4t+2s\\t=c
b A LaTex expression showing 12s=7c\\2c+8s=4t\\t=c
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 8c+2t=2s+6t\\2c=4t\\c=s
b A LaTex expression showing 8c+2t=2s+6t\\2c=4t\\3c=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 6c=11s\\2t+7s=8c+2s\\t=6c
b A LaTex expression showing 6c=12s\\2t+6s=8c+2s\\t=3c
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 4c+2t=6s+6t\\12t=6s\\2s=c
b A LaTex expression showing 4c+2t=6s+4t\\11t=6s\\s=c
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+6t=8s+2t\\4t=2s\\s=c
b A LaTex expression showing 2c+6t=8s+2t\\4t=2s\\3s=c
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 4s=2t\\2c+6s=8t+2s\\c=3t
b A LaTex expression showing 4s=s\\c+6s=8t+2s\\c=6t
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 8t=4s\\2c+2t=4s+6t\\c=3s+t
b A LaTex expression showing 8t=4s\\2c+2t=4s+6t\\c=3s