# Worksheet: Multiplying an Algebraic Expression by a Monomial

In this worksheet, we will practice multiplying an algebraic expression by a monomial.

**Q1: **

Simplify .

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**Q2: **

Fill in the blank: The area of the rectangle with dimensions and is .

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**Q3: **

Calculate .

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**Q4: **

Simplify the expression .

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**Q5: **

Simplify the expression .

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**Q6: **

Calculate .

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**Q7: **

Consider a rectangle of width . The length of the rectangle is 2 more than its width. Find the area of the rectangle in terms of .

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**Q8: **

Find the area of the shaded region.

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**Q9: **

A triangle has a height of and a base of . Find the area of the triangle in terms of .

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**Q10: **

Consider the following shape.

Fill in the blank: The area of part A in terms of and is .

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Fill in the blank: The area of part B in terms of and is .

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Fill in the blank: The area of the whole rectangle in terms of and is .

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