Balance Shapes - Simple Substitution - To Equations

Level 1

This math topic focuses on practicing basic algebraic concepts through "Balance Shapes - Simple Substitution - To Equations." Students learn to interpret visual representations of balance beams and translate these scenarios into algebraic equations. The exercises require analyzing the weights and distributions on the beams and choosing among multiple sets of equations that accurately depict the balances. Each question presents different configurations, enhancing students' skills in forming and solving basic algebraic equations related to simple substitution tasks.

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

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Balance Shapes - Simple Substitution - To Equations Worksheet

Balance Shapes - Simple Substitution - To Equations

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4t &= 2s\\6s &= 2c\end{align*}$

b $A LaTex expression showing \begin{align*}t &= 2s\\9s &= 4c\end{align*}$

c $A LaTex expression showing \begin{align*}3t &= 2s\\6s &= 4c\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2s &= 8t\\2c &= 7s\end{align*}$

b $A LaTex expression showing \begin{align*}2s &= 6t\\2c &= 6s\end{align*}$

c $A LaTex expression showing \begin{align*}2s+c &= 8t\\3c &= 7s\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}8c &= 3t+c\\6s &= t\end{align*}$

b $A LaTex expression showing \begin{align*}8c &= 2t\\4s &= 2c\end{align*}$

c $A LaTex expression showing \begin{align*}8c &= 3t\\4s &= t\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2t &= 4s\\8t &= 2c\end{align*}$

b $A LaTex expression showing \begin{align*}2t &= 5s\\8t &= 5c+s\end{align*}$

c $A LaTex expression showing \begin{align*}2t &= 7s\\8t &= 2c+s\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}s &= 4s\\2c+s &= 8t\end{align*}$

b $A LaTex expression showing \begin{align*}3s &= 4s\\2c+s &= 9t\end{align*}$

c $A LaTex expression showing \begin{align*}2t &= 4s\\2c &= 8t\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2c &= 6s\\4t &= 2s\end{align*}$

b $A LaTex expression showing \begin{align*}2c &= 4s\\t &= c\end{align*}$

c $A LaTex expression showing \begin{align*}2c &= 7s\\4t &= c\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}6s &= 2c\\2s &= 4t\end{align*}$

b $A LaTex expression showing \begin{align*}6s &= 3c\\2s+c &= 4t\end{align*}$

c $A LaTex expression showing \begin{align*}6s &= 5c\\c &= 4t\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2s &= 2c\\2c &= 4t+c\end{align*}$

b $A LaTex expression showing \begin{align*}2s &= c\\2c &= 2t+c\end{align*}$

c $A LaTex expression showing \begin{align*}2s &= 4c\\2c &= 4t\end{align*}$