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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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

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

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Math worksheet on 'Balance Shapes - Substitution and Subtraction, Compound Answer - To Equations And Answer (Level 3)'. Part of a broader unit on 'Algebra Basic Concepts - Advanced' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_advanced/
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 8t=5s\\4c+2t=9s+6t\\2s+2t=c+t
b A LaTex expression showing 10t=5s\\4c+2t=6s+6t\\2s+t=c+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 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
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 2c=8s\\2t+6s+c=8c+2s\\3c=t+s
b A LaTex expression showing 4c=8s\\2t+6s=8c+2s\\3c+s=t+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+2t=4s+6t\\5s=10t\\6s=c+s
b A LaTex expression showing 2c+2t=4s+6t\\5s=10t\\4s=c+s
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 6c+6t=4s+2t\\6t=3c\\3c=s+c
b A LaTex expression showing 6c+6t=4s\\6t=c\\c=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=6s\\2c+8s=4t+2s\\t+c=c
b A LaTex expression showing 2c=6s\\2c+8s=4t+2s\\t+c=2c
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 10t=6c\\4c+5t=2s+2t\\7c=s+c
b A LaTex expression showing 12t=6c\\4c+6t=2s+2t\\4c=s+c