This math topic focuses on advanced algebraic concepts. It prompts learners to practice the skill of balancing shapes, where they employ substitution and subtraction. Utilizing compound answers and equating them to actual equation answers, learners should form algebraic expressions that represent solutions to provided visual mathematical problems. This topic essentially sharpens algebra skills and challenges learners to develop a stronger understanding of algebraic representations and operations.

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 Equation Answer Worksheet

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Balance Shapes - Substitution and Subtraction, Compound Answer - To Equation Answer
1
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 3s + t=c + t
b A LaTex expression showing 3s + 2t=c + t
c A LaTex expression showing 3s + t + c=c + t
d A LaTex expression showing 3s + t + 3c=c + t
2
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 6s + 2c=t + c
b A LaTex expression showing 3s=t + c
c A LaTex expression showing 3s + c=t + c
d A LaTex expression showing 3s + 2c=t + c
3
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c=t + s
b A LaTex expression showing 4s=t + s
c A LaTex expression showing s=t + s
d A LaTex expression showing s + c=t + s
e A LaTex expression showing 2s=t + s
4
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 8t + s=c + t
b A LaTex expression showing 7t + s=c + t
c A LaTex expression showing 4t=c + t
d A LaTex expression showing 8t=c + t
e A LaTex expression showing 7t=c + t
5
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 3s + c=t + c
b A LaTex expression showing s + c=t + c
c A LaTex expression showing 3s + 4c=t + c
d A LaTex expression showing 3s + 2c=t + c
e A LaTex expression showing 5s + 4c=t + c
6
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t + c=2c + t + s
b A LaTex expression showing t + c=3c + s
c A LaTex expression showing t + c=2c + t
d A LaTex expression showing t + c=2c + s
e A LaTex expression showing t + c=2c
7
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 3s=c + s
b A LaTex expression showing 2s=c + s
c A LaTex expression showing 3s + t + c=c + s
d A LaTex expression showing 3s + t=c + s
8
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing t + c=4s + 2c
b A LaTex expression showing t + c=3s + 2c
c A LaTex expression showing t + c=2s + 2c
d A LaTex expression showing t + c=3s + c
e A LaTex expression showing t + c=s + 2c