This math topic focuses on the advanced concepts of algebra, particularly on understanding balance shapes, simple substitution, and forming equations from them. It consists of multiple questions requiring learners to analyze the equivalence of shapes placed on the scales of balance and to construct an algebraic equation representing the balance's solution. Interpretation of given algebraic expressions as potential solutions to these problems is also practiced.

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

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Balance Shapes - Simple Substitution - To Equation Answer Worksheet

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Math worksheet on 'Balance Shapes - Simple Substitution - To Equation Answer (Level 3)'. Part of a broader unit on 'Algebra Manipulating Variables - Intro' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_intro/
1
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 8s=t
b A LaTex expression showing 10s + t=t
c A LaTex expression showing 11s + t=t
d A LaTex expression showing 8s + t=t
e A LaTex expression showing 10s + t + c=t
2
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c=7s
b A LaTex expression showing c=6s
c A LaTex expression showing c=5s
d A LaTex expression showing c=4s
e A LaTex expression showing c=8s
3
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 6s + t=c
b A LaTex expression showing 9s + t=c
c A LaTex expression showing 7s + 4t=c
d A LaTex expression showing 6s + 4t=c
e A LaTex expression showing 9s=c
4
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 4s + c=t
b A LaTex expression showing 4s=t
c A LaTex expression showing 6s=t
d A LaTex expression showing 8s=t
5
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c=2t
b A LaTex expression showing c=4t
c A LaTex expression showing c=5t
d A LaTex expression showing c=8t
e A LaTex expression showing c=3t
6
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t=6s + t + c
b A LaTex expression showing t=8s + t
c A LaTex expression showing t=8s
d A LaTex expression showing t=6s + 4t + c
e A LaTex expression showing t=6s + t
7
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 8t=c
b A LaTex expression showing 11t + c=c
c A LaTex expression showing 11t + s=c
d A LaTex expression showing 11t + c + s=c
e A LaTex expression showing 8t + c=c