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Simplifying expressions

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Free printable simplifying expressions worksheets for 5th grade. Students combine like terms and apply the distributive property to reduce algebraic expressions to their simplest equivalent form. These worksheets develop the algebraic manipulation skills that are core to middle school and high school mathematics. Part of our algebra worksheets collection.

What You'll Learn

  • Combine like terms to simplify algebraic expressions
  • Apply the distributive property to expand and simplify
  • Write simplified expressions in standard algebraic form

FAQ

What are 'like terms' and why can only like terms be combined?

Like terms contain the same variable(s) raised to the same power (e.g., 3x and 5x are like terms; 3x and 3x² are not) — they can be added or subtracted because they represent the same type of quantity, just as 3 apples + 5 apples = 8 apples.

How does the distributive property simplify expressions like 2(x + 4)?

The distributive property multiplies the factor outside the parentheses by each term inside: 2(x + 4) = 2x + 8 — once distributed, any resulting like terms can then be combined.

Why is simplifying expressions an important precursor to solving equations?

Before solving an equation like 3x + 2x + 7 = 22, students must simplify the left side to 5x + 7 — simplification is always the first step in equation solving, making this skill a prerequisite for all formal algebra.

Grade
5th Grade
Ages
Ages 10-11
Subject
Math
Format
Printable PDF

Ratings & Reviews

3

Emily W.

Homeschool parent · Verified download

May 2026

Excited for this one! I've been hunting for a good printable on this topic for weeks.

Helpful · 9

Priya N.

Kindergarten Teacher · Verified download

Apr 2026

This is going straight into my lesson plans the second it drops. Please prioritize this one!

Helpful · 13

Maria R.

Homeschool parent · Verified download

May 2026

Can't wait! This is exactly what we've been looking for. Please make it soon!

Helpful · 7

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