Simplify Expression Worksheets (Multiply, Divide)

There are five sets of simplifying expressions worksheets:

• Simplify Expressions (Add, Subtract Like Terms)
  
• Simplify Expressions (Multiply, Divide)
  
• Simplify Expressions (Distributive Property)
  
• Simplify Expressions (Combine Like Terms)
  
• Simplify Expressions (Distributive Property & Combine Like Terms)
  

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to simplify an algebraic expression by multiplying or dividing.

How to simplify an algebraic expression by multiplying or dividing?

There are three sets of simplifying algebraic expression worksheets.

• Simplify Expressions (Multiply)
• Simplify Expressions (Divide)
• Simplify Expressions (Multiply & Divide)

To simplify expressions using multiplication, follow these steps:

1. Multiply Numerical Terms: Multiply the numerical (constant) terms together, if any are present.
2. Multiply Variables: If the expression contains variables, multiply the variables together. Use the rules for exponents if applicable.
3. Combine Like Terms: If there are like terms (terms with the same variable raised to the same power), combine them by adding their coefficients (the numbers in front of the variable).

Example: Simplify 2xy × 3y.
Multiply the numerical terms: 2 × 3 = 6.
Multiply the variables: xy × y = xy².
So, 2xy × 3y simplifies to 6xy².

To simplify expressions using division, follow these steps:

1. Perform Numerical Division: Divide the numerical (constant) terms if any are present.
2. Perform Variable Division: If the expression contains variables, divide the variables as well. Use the rules for exponents if applicable.
3. Combine Like Terms: If there are like terms (terms with the same variable raised to the same power), combine them by adding their coefficients (the numbers in front of the variable).

Have a look at this video if you need to review how to multiply an algebraic expression.

• Multiplication of Algebraic Expressions

Have a look at this video if you need to review how to divide an algebraic expression.

• Division of Algebraic Expressions

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Simplify Expression Worksheets.

 

More Simplify Expression Worksheets

Printable
(Answers on the second page.)
Simplify Expression Worksheet #1 (multiply)
Simplify Expression Worksheet #2 (divide)
Simplify Expression Worksheet #3 (multiply & divide)

Online or Generated
Evaluate Expressions by Substitution
Simplify Expressions by Combining Like Terms
Simplify Expressions using Distributive Property
Use Distributive Property & Combine Like Terms

Related Lessons & Worksheets

Solving Equations using Distributive Property
Solving Equations by Combining like terms

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