Balance Shapes - Substitution and Subtraction, Simple Answer - To Equation Answer

Level 2

This math topic involves practicing algebraic substitution and subtraction through balanced scales problems. It requires interpreting graphical balance scale representations to identify correct algebraic equations. The problems gradually increase in complexity, incorporating multiple variables and constants. The exercises are structured to solve for unknowns based on graphical data. Each question presents several potential equations as answers, challenging the student to apply fundamental algebra concepts to determine the appropriate formulas that explain the visual balance information. This topic is targeted toward enhancing problem-solving skills in advanced algebraic concepts.

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

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Balance Shapes - Substitution and Subtraction, Simple Answer - To Equation Answer Worksheet

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