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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 Worksheet

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Balance Shapes - Substitution and Subtraction, Compound Answer - To E...
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 \begin{align*}4s &= 14t\\4c+2t &= 2s+9t\\c+t &= s+4t\end{align*}
b A LaTex expression showing \begin{align*}4s &= 12t\\4c+2t &= 2s+8t\\c+t &= s+t\end{align*}
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 \begin{align*}10t &= 5s\\6s+6t &= 4c+2t\\2s+t &= c+t\end{align*}
b A LaTex expression showing \begin{align*}10t &= 5s+t\\6s+5t &= 4c+2t\\2s+t+c &= c+t\end{align*}
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 \begin{align*}2c+8t &= 4s+2t\\3c &= 9t\\s+t &= c+t\end{align*}
b A LaTex expression showing \begin{align*}2c+8t &= 4s+2t+c\\3c &= 11t\\s+t &= t\end{align*}
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 \begin{align*}2c+6t &= 8s+2t\\5s &= 10t\\c+t &= 3s\end{align*}
b A LaTex expression showing \begin{align*}2c+6t &= 8s+2t\\5s &= 10t\\c+t &= 3s+t\end{align*}
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 \begin{align*}9s &= 4t\\3t+8s &= 4c+2s\\c+s &= 3t+s\end{align*}
b A LaTex expression showing \begin{align*}12s &= 4t\\2t+8s &= 4c+2s\\c+s &= t+s\end{align*}
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 \begin{align*}4s+2c &= 2t+8c\\6c &= 2t\\2t &= s+t\end{align*}
b A LaTex expression showing \begin{align*}4s+2c &= 8c\\4c &= 2t\\c &= s+t\end{align*}
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 \begin{align*}2c+6t &= 8s+2t\\4t &= 2s\\c+t &= 6s+t\end{align*}
b A LaTex expression showing \begin{align*}2c+6t &= 8s+2t\\4t &= 2s\\c+t &= 3s+t\end{align*}
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 \begin{align*}t+6c &= 8s+2c\\3c &= 2s\\t+c &= s+c\end{align*}
b A LaTex expression showing \begin{align*}2t+6c &= 8s+2c\\4c &= 2s\\t+c &= 3s+c\end{align*}