Algebra Meals - 3 Meals, 2 Items (Simple Substitution, Simple Answer), to Equation (Level 1) - Mobius Math Academy

Algebra Meals - 3 Meals, 2 Items (Simple Substitution, Simple Answer), to Equation

Level 1

This math topic involves solving systems of linear equations represented in contexts related to the pricing of various meals, each consisting of multiple items. These problems focus primarily on simple substitutions and deriving equations from given situations. Each question requires identifying the correct set of linear equations that correspond to visual or textual descriptions of meal costs. Students practice setting up and solving equations to find costs of individual elements within meals, enhancing their understanding of algebraic manipulations and problem-solving within real-world contexts.

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

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Algebra Meals - 3 Meals, 2 Items (Simple Substitution, Simple Answer), to Equation Worksheet

Algebra Meals - 3 Meals, 2 Items (Simple Substitution, Simple Answer)...

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2s+4d &= 12\\3s+d &= 10\\d+2s &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2s+4d &= 12\\4s+d &= 10\\d &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2s+4d &= 12\\3s+d &= 10\\d+s &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2s+4d &= 12\\4s+d &= 10\\d+s &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4c+3f &= 20\\3c+4f &= 24\\4f &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}5c+3f &= 20\\3c+3f &= 24\\7f+c &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2c+3f &= 20\\3c+3f &= 24\\f &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}5c+3f &= 20\\3c+f &= 24\\7f &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2d+3c &= 8\\2d+6c &= 14\\3c &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2d+3c &= 8\\3d+7c &= 14\\c &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2d+3c &= 8\\2d+6c &= 14\\c &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2d+3c &= 8\\3d+6c &= 14\\2c &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}6d+2f &= 16\\3d+3f &= 18\\f &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}6d+2f &= 16\\3d+3f &= 18\\2f &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}5d+2f &= 16\\3d+2f &= 18\\f &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}8d+2f &= 16\\d+2f &= 18\\4f &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2f+3h &= 16\\f+4h &= 13\\3f &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2f+3h &= 16\\f+4h &= 13\\f &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2f+3h &= 16\\f+4h &= 13\\h &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2f+3h &= 16\\3f+4h &= 13\\3f+h &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4c+3d &= 28\\c+d &= 8\\d &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}3c+3d &= 28\\d &= 8\\d+2c &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}3c+6d &= 28\\c+d &= 8\\d+c &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4c+6d &= 28\\c+d &= 8\\d+c &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}5d+a &= 8\\4d+3a &= 24\\5a+d &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2d+a &= 8\\4d+4a &= 24\\4a &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2d+a &= 8\\4d+4a &= 24\\a &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}5d+a &= 8\\4d+3a &= 24\\4a+d &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}8h+2f &= 10\\h+3f &= 9\\h &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}6h+2f &= 10\\h+2f &= 9\\h &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}6h+3f &= 10\\h+2f &= 9\\h+f &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}6h+2f &= 10\\3h+3f &= 9\\f &= ?\end{align*}$