Balance Shapes - Substitution and Subtraction, Compound Answer - To Equations And Answer (Level 3) - Mobius Math Academy

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

Level 3

This math topic focuses on advanced algebraic concepts involving substitution and subtraction. The problems demonstrated including finding suitable equations and responses to balance beams and determining the bottom solution. The participants are visually introduced to the concept through depicted balance beams, and then required to equate the schematic representation to an algebraic expression, enhancing symbolic understanding. The problems cover different algebraic structures, offering a rigorous practice on algebra's key principles.

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

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 7s+2t=6c+6t\\12t=5c\\s+t=4c+t$

b $A LaTex expression showing 4s+2t=6c+6t\\10t=5c\\s+t=2c+t$

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 2s+8t=4c+2t\\6t=2s\\s+t=c+t$

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 8c+2t=2s+6t\\8t=4c\\s+c=4c$

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 4t+6s=2c+5s\\3t=6s+t\\c+s=3t+3s$

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 6c+6t=4s\\6t=c\\c=s+c$

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 6s=2c\\2c+8s=4t+2s\\t+c=2c$

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

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 2t+8s=4c+2s+t\\7t=12s\\5t=c+t$

b $A LaTex expression showing 2t+8s=4c+2s\\4t=12s\\2t=c+t$

An svg image showing a math problem

Which equation and answer represents these balance beams and the bottom solution

a $A LaTex expression showing 4t+6s=2c+2s\\2t=4s\\c+t=4t$

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