This math topic, labeled "Balance Shapes - Substitution and Subtraction, Simple Answer - To Equations And Answer," focuses on advanced algebra concepts. It involves solving equations using balance beams, depicted in illustrations, requiring skills in equation balancing, substitution, and subtraction to find solutions. Each question presents a visual balance beam scenario with multiple choice equations to identify the correct representation and solution. This topic is a component of a broader study unit on higher-level algebraic principals, enhancing problem-solving skills and equation manipulation abilities.

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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 2c+2s=4t+6s\\2t=4s\\3t=c
b A LaTex expression showing 2c+3s=4t+6s\\s=4s\\3t+c=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 6s+6c=4t+2c\\4c=2s\\t=3s
b A LaTex expression showing 6s+6c=4t+2c\\4c=2s\\t=2s
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+2c=4t+6c\\4c=2t\\3t=s
b A LaTex expression showing 2s+2c+t=4t+6c\\4c=3t\\3t+s=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+8s=4t+2s\\6s=2c\\t=c
b A LaTex expression showing 2c+8s=4t+2s\\6s=2c\\t=2c
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 4t=2c\\2s+2t=4c+6t\\3c=s
b A LaTex expression showing 5t=2c\\2s+2t=4c+6t+s\\3c+s=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 4c+2s=6t+6s\\4s=2t\\c=c+s
b A LaTex expression showing 4c+2s=6t+6s\\4s=2t\\c=2t
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 3c=4t\\6c+3t=4s+2t\\c=s
b A LaTex expression showing 2c=4t\\6c+6t=4s+2t\\2c=s
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 4c+6s=2t+2s\\2c=4s\\t=3c
b A LaTex expression showing 4c+6s=2t+2s\\2c=4s\\t=2c