Balance Shapes - Simple Substitution - To Equations

Level 2

This math topic involves analyzing balance beams to form equations, focusing on basic algebraic concepts. It challenges students to interpret and represent the physical balances in equations, using substitution. Each question presents a different set of balance beams and offers multiple-choice answers in LaTeX-rendered equation format. Through these exercises, learners develop skills in translating visual information (balance beams) into algebraic expressions, enhancing their understanding of variables and algebraic manipulation.

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

more

Worksheet ViewUnit

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2s &= 9c\\4c &= 6t\end{align*}$

b $A LaTex expression showing \begin{align*}s &= 9c\\4c &= 7t\end{align*}$

c $A LaTex expression showing \begin{align*}2s &= 8c\\3c &= 6t\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

b $A LaTex expression showing \begin{align*}3t &= 6c\\3c+s &= 7s\end{align*}$

c $A LaTex expression showing \begin{align*}t &= 6c\\3c &= 7s\end{align*}$

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

c $A LaTex expression showing \begin{align*}4s &= 5c\\2s &= 4t+3s\end{align*}$

An svg image showing a math problem

Which equations represent what these balance beams are showing

a $A LaTex expression showing \begin{align*}2c+t &= 8s\\3s &= 6t+c\end{align*}$

b $A LaTex expression showing \begin{align*}2c &= 8s\\3s &= 6t\end{align*}$