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# Lesson Worksheet: Addition and Subtraction of Algebraic Expressions Mathematics • 7th Grade

In this worksheet, we will practice adding and subtracting algebraic expressions by adding and subtracting like terms.

**Q1: **

Simplify .

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**Q2: **

Using the vertical method, subtract the following algebraic expressions:

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**Q3: **

Find given and .

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**Q4: **

Subtract from .

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**Q5: **

Michael had coins and gave coins to James. How many coins does Michael have left?

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**Q6: **

Find the perimeter of the right triangle shown in the diagram.

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**Q7: **

Charlotte has . She gives to Benjamin and then receives from Jacob. Write a simplified expression for the remaining amount of money, in dollars, that Charlotte has.

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**Q8: **

Consider three rectangles whose areas are represented by the expressions below.

All three rectangles are put together such that none of them overlap. Write an expression to represent the area of the new combined shape.

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If shape is removed, and instead it sticks to a fourth rectangle, , such that the shapes and do not overlap, the combined area of and is .

Write an expression to represent the area of rectangle .

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**Q9: **

If a rectangular prism has a volume of , a length of , and a width of , find its height.

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Find the surface area of the rectangular prism in its simplest form.

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**Q10: **

Find the surface area of a rectangular prism with side lengths , , and .

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