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

Algebra Meals - 3 Meals, 2 Items (Multiple, Complex Substitution, Compound Answer), to Equation

Level 1

This math topic covers a series of algebra problems that involve formulating and manipulating equations to find the costs of meals from given sets of data. The problems utilize skills such as multiple complex substitutions to solve for unknowns, requiring a compound answer involving multiple steps to complete each solution. Specifically, the questions simulate situations with different meal combinations and pricing structures, challenging the student to determine feasible pricing models based on the given information. These are part of an advanced algebra section aiming to build deeper understanding and proficiency in creating, interpreting, and solving equations.

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 (Multiple, Complex Substitution, Compound Answer), to Equation Worksheet

Algebra Meals - 3 Meals, 2 Items (Multiple, Complex Substitution, Com...

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4(h+n) &= 24\\4h+3n &= 12\\4h+n &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}4(h+2n) &= 24\\4h+2n &= 12\\3h+n &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4(h+2n) &= 24\\4h+2n &= 12\\h+n &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4(h+n) &= 24\\2h+3n &= 12\\4h+n &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}s+4f &= 20\\2(s+3f) &= 22\\f &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}s+4f &= 20\\2(s+3f) &= 22\\4f &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4s+4f &= 20\\2(s+3f) &= 22\\f &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4s+4f &= 20\\2(s+3f) &= 22\\s+f &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2(3s+2n) &= 14\\4n &= 16\\s+n &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2(3s+2n) &= 14\\2n &= 16\\s+2n &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2(2s+2n) &= 14\\2s+2n &= 16\\s+4n &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2(s+2n) &= 14\\4s+2n &= 16\\s+n &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}3h+s &= 12\\2(2h+4s) &= 36\\h+3s &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2h+s &= 12\\2(h+4s) &= 36\\h+3s &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2h+s &= 12\\2(4h+4s) &= 36\\h+3s &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}3h+s &= 12\\2(2h+4s) &= 36\\h+s &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}3(4p) &= 39\\5n+4p &= 18\\n &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}3(4p) &= 39\\5n+4p &= 18\\3n &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}3(4p) &= 39\\5n+4p &= 18\\4n &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}3(n+4p) &= 39\\2n+4p &= 18\\n+p &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2(2n) &= 32\\4n+p &= 12\\3p &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2(2n+p) &= 32\\3n+p &= 12\\p &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2(2n) &= 32\\4n+p &= 12\\p &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2(2n+3p) &= 32\\4n+p &= 12\\n+p &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4(2d+6n) &= 112\\4d+2n &= 26\\2d+n &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}4(2d+6n) &= 112\\4d+2n &= 26\\d+n &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4(2d+6n) &= 112\\4d+2n &= 26\\n &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4(2d+6n) &= 112\\4d+2n &= 26\\2d &= ?\end{align*}$

Which equations represent what these meals cost

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}4(2a+8d) &= 112\\3d &= 19\\3a+d &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}4(2a+8d) &= 112\\3d &= 19\\d &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4(2a+8d) &= 112\\3d &= 19\\a &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4(2a+6d) &= 112\\2a+3d &= 19\\a+d &= ?\end{align*}$