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

Level 1

The math topic being practiced involves algebraic concepts focused on balance shapes, substitution, and subtraction. Students are required to represent balance beams and other illustrated problems through algebraic equations. By seeing these problems in visual form, students learn how to formulate and decipher compound answers in algebraic equations. They also gain practice in identifying the correct equations and answers based on the given visual depictions and solutions, as an advanced understanding of basic algebraic skills.

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*}4t+c &= 2s\\4s+8t &= 2c+2t\\2s &= c+s\end{align*}
b A LaTex expression showing \begin{align*}4t &= 2s\\4s+6t &= 2c+2t\\4s &= c+s\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*}6s+6c &= 4t+2c\\4c &= 2s\\t+c &= 2s+c\end{align*}
b A LaTex expression showing \begin{align*}6s+5c &= 4t+2c\\4c &= 5s\\t+c &= c\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*}2s+2t &= 4c+6t\\2c &= 4t\\s+c &= 4c\end{align*}
b A LaTex expression showing \begin{align*}2s+2t &= 4c+6t\\2c &= 4t\\s+c &= 7c\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*}6c+6t &= 4s+2t\\4t &= 2c\\2c+t+s &= s+t\end{align*}
b A LaTex expression showing \begin{align*}6c+6t &= 4s+2t\\4t &= 2c\\2c+t &= s+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*}4s+t &= 2t\\4t+6s &= 2c+2s+t\\c+t &= 4t+c\end{align*}
b A LaTex expression showing \begin{align*}4s &= 2t\\4t+6s &= 2c+2s\\c+t &= 4t\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*}t+6s &= 8c+2s\\2c &= 5s\\3c &= t+s\end{align*}
b A LaTex expression showing \begin{align*}2t+6s &= 8c+2s\\2c &= 4s\\3c+s &= t+s\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 &= 4s\\2t+6s &= 8c+2s\\t+s &= 3c+s\end{align*}
b A LaTex expression showing \begin{align*}2c &= s\\2t+9s &= 8c+2s\\t+s &= 4c+s\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*}2s &= 4c\\4s+6c &= 2t+2c\\3s+c &= t+c\end{align*}
b A LaTex expression showing \begin{align*}2s &= 2c\\6s+6c &= 2t+2c\\5s+c &= t+c\end{align*}