The math topic being practiced involves algebraic concepts focused on balance shapes, substitution, and subtraction. Students are required to represent balance beams and other illustrated problems through algebraic equations. By seeing these problems in visual form, students learn how to formulate and decipher compound answers in algebraic equations. They also gain practice in identifying the correct equations and answers based on the given visual depictions and solutions, as an advanced understanding of basic algebraic skills.

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

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Balance Shapes - Substitution and Subtraction, Compound Answer - To Equations And Answer Worksheet

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Balance Shapes - Substitution and Subtraction, Compound 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 6c=2t\\2t+8c=4s+2c\\s+t=2t
b A LaTex expression showing 6c+t=2t\\2t+8c=3s+2c\\s+t=2t+c
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 2s=4c+s\\4s+6c=2t+4c\\3s+2c=t+c
b A LaTex expression showing 2s=4c\\4s+6c=2t+2c\\3s+c=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 4t+2c=6s+6c\\4c=2s\\t+s=4s
b A LaTex expression showing 4t+2c=6s+6c\\4c=2s\\t+s=3s
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 6s=2t\\2c+6s+t=8t+2s\\c+t=6t
b A LaTex expression showing 4s=2t\\2c+6s=8t+2s\\c+t=4t
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+6s=8c+2s\\4s=2c\\3c+s=t+s
b A LaTex expression showing 2t+6s=8c+2s\\4s=2c\\2c+s=t+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 2s=6t\\2s+8t=4c+2t\\s+t=c+t
b A LaTex expression showing 2s=6t\\2s+8t=4c+2t\\s+4t=c+t
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 2s=4c\\6s+6c=4t+2c\\t+c=2s+c
b A LaTex expression showing 2s=4c\\6s+6c=4t+2c\\t+c=4s+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 6c+t=2s\\4t+2c=3s+8c\\4s=t+s
b A LaTex expression showing 6c=2s\\4t+2c=2s+8c\\2s=t+s