This math topic focuses on practicing advanced algebraic skills. The exercises involve the use of substitution and subtraction, balance shapes, and transforming compound answers into equation format. These concepts are part of an overall sequence on advanced basic algebraic concepts. The students will face problems that depict different algebraic equations which they have to solve mainly by identifying which equation represents the solution to a provided illustration.

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 t + c=4s + 2c
b A LaTex expression showing t + c=4s + 2c + t
c A LaTex expression showing t + c=s + 2c
d A LaTex expression showing t + c=s + c
e A LaTex expression showing t + c=5s + 2c + t
2
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing c + s=s
b A LaTex expression showing c + s=3c + s
c A LaTex expression showing c + s=3t + s
d A LaTex expression showing c + s=c
e A LaTex expression showing c + s=s + t
3
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 2s=c + t
b A LaTex expression showing s=c + t
c A LaTex expression showing 3s=c + t
d A LaTex expression showing 2t=c + t
e A LaTex expression showing s + t=c + t
4
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 2s + c=t + c
b A LaTex expression showing 4c=t + c
c A LaTex expression showing 6c=t + c
d A LaTex expression showing c=t + c
e A LaTex expression showing 2c=t + c
5
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing s + t=7t
b A LaTex expression showing s + t=6t
c A LaTex expression showing s + t=9t + s
d A LaTex expression showing s + t=6t + s
e A LaTex expression showing s + t=4t
6
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 4t + c=s + c
b A LaTex expression showing t + c=s + c
c A LaTex expression showing t + c + s=s + c
d A LaTex expression showing 3t + c=s + c
7
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing s + t=3t
b A LaTex expression showing s + t=5t
c A LaTex expression showing s + t=c + 3t
d A LaTex expression showing s + t=c + t
e A LaTex expression showing s + t=6t
8
Which equation represents the solution to the bottom scale?
An svg image showing a math problem
a A LaTex expression showing 2s=t + s
b A LaTex expression showing 3t + c=t + s
c A LaTex expression showing t=t + s
d A LaTex expression showing t + c=t + s
e A LaTex expression showing 2t + c=t + s