Balance Shapes - Simple Ratio - To Equations (Level 1) - Mobius Math Academy

Balance Shapes - Simple Ratio - To Equations

Level 1

This math topic focuses on using balance beams to teach basic algebra concepts, particularly forming equations based on simple ratios. Students are presented with images of balance beams showing different shapes representing algebraic variables. They are then asked to determine which algebraic equations accurately represent the scenarios depicted in the images. This involves understanding the principles of balance, equivalence, and ratio to transition from visual representations to symbolic equations. The exercises are positioned as an introductory level within a broader unit on algebra basics, aiming to develop foundational skills in forming and understanding simple equations.

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

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Balance Shapes - Simple Ratio - To Equations Worksheet

Balance Shapes - Simple Ratio - To Equations

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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

An svg image showing a math problem

Which equations represent what these balance beams are showing

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

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

Which equations represent what these balance beams are showing

An svg image showing a math problem

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

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

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