Algebra Weights - 3 Scales, 2 Shapes (Simple Substitution, Compound Answer), to Equation (Level 1) - Mobius Math Academy

Algebra Weights - 3 Scales, 2 Shapes (Simple Substitution, Compound Answer), to Equation

Level 1

This math topic focuses on solving algebraic equations derived from visual representations of balance scales. The problems require students to interpret scales with different weights marked by specific shapes and formulize these configurations into algebraic equations. This activity aids in building skills in simple substitution, forming and solving equations, deducing values from given conditions, and understanding advanced algebra concepts. Each question presents multiple choice answers, reinforcing the application of logical reasoning to pinpoint the correct mathematical expressions for the given scales.

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

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Algebra Weights - 3 Scales, 2 Shapes (Simple Substitution, Compound Answer), to Equation Worksheet

Algebra Weights - 3 Scales, 2 Shapes (Simple Substitution, Compound A...

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}8p &= 40\\2p+4b &= 22\\4p+b &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}8p &= 40\\2p+4b &= 22\\p+b &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}5p &= 40\\5p+4b &= 22\\4p+b &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}3p &= 40\\6p+4b &= 22\\4p+4b &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}6a+b &= 12\\2a+5b &= 16\\b &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}6a &= 12\\2a+4b &= 16\\a+b &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4a+b &= 12\\2a+8b &= 16\\4b &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}4a+b &= 12\\2a+8b &= 16\\b &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}p &= 7\\9p &= 18\\4a &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}p+2a &= 7\\6p &= 18\\p+a &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}p+2a &= 7\\6p &= 18\\p &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}p+2a &= 7\\6p &= 18\\a &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2p+2b &= 12\\7p &= 30\\p+b &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2p+2b &= 12\\6p &= 30\\p+b &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2p+2b &= 12\\6p &= 30\\3p+b &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2p+2b &= 12\\9p &= 30\\p+b &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}2a+3p &= 13\\11a &= 40\\2a+p &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2a+3p &= 13\\11a &= 40\\2a+4p &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}2a+3p &= 13\\8a &= 40\\a+p &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}2a+3p &= 13\\10a &= 40\\2a+p &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}5p &= 16\\4b+p &= 24\\b &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}2b+4p &= 16\\6b &= 24\\b+p &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}4p &= 16\\6b+p &= 24\\b+p &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}5p &= 16\\4b+p &= 24\\p &= ?\end{align*}$

Which equations represent what these scales are showing

An svg image showing a math problem

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

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

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

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

Which equations represent what these scales are showing

An svg image showing a math problem

a $A LaTex expression showing \begin{align*}p+3a &= 20\\2p &= 10\\p &= ?\end{align*}$

b $A LaTex expression showing \begin{align*}p+3a &= 20\\2p &= 10\\p+a &= ?\end{align*}$

c $A LaTex expression showing \begin{align*}p+a &= 20\\p &= 10\\a &= ?\end{align*}$

d $A LaTex expression showing \begin{align*}p+a &= 20\\p &= 10\\p &= ?\end{align*}$