Home›Lesson Plans›Mathematics›Expressions & Equations · Grade 7

Combining Like Terms

Seventh graders learn to simplify algebraic expressions by combining like terms — grouping terms with the same variable, like 3x and 5x, while keeping constants separate — a core algebra skill.

Grade 7Expressions50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Identify like terms.
  • ✓Combine like terms.
  • ✓Keep constants separate.
  • ✓Simplify an expression.
Essential Question

“3x + 4 + 5x + 2” looks messy. Can we make it simpler? Only certain terms can be combined — which ones, and how?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Sort It · Interactive

Sort the Terms

Project this and sort each term into x-terms (have the variable x) or constants (just numbers). Only like terms can be combined!

🔤 Sort each term — x-term or constant?Try it
🇽 x-terms (have an x)
🔢 Constants (just numbers)
Tap a term, then tap a bucket.
The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — Make It Simpler

5 min

“3x + 4 + 5x + 2” is messy — can we simplify it?

👩‍🏫 Teacher Moves

  • Show a long expression.
  • Ask which terms go together.
  • Set the goal: like terms.

🎒 Student Actions

  • See the expression.
  • Find matching terms.
  • Predict the idea.
2

I Do — Like Terms

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Like terms share the same variable.
  • Combine them.
  • Keep constants separate.

🎒 Student Actions

  • Learn like terms.
  • Combine them.
  • Separate constants.
3

We Do — Sort Together

13 min

Class uses Sort the Terms.

👩‍🏫 Teacher Moves

  • Sort each term.
  • Combine the like terms.
  • Simplify the expression.

🎒 Student Actions

  • Sort terms.
  • Combine them.
  • Simplify it.
4

You Do — On Your Own

12 min

Students simplify.

👩‍🏫 Teacher Moves

  • Identify like terms.
  • Combine them.
  • Simplify expressions.

🎒 Student Actions

  • Identify them.
  • Combine them.
  • Simplify.
5

Close — Close

5 min

One expression.

👩‍🏫 Teacher Moves

  • Give an expression.
  • Simplify it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Simplify it.
  • Explain it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
7.EE.1

Add, subtract, factor, and expand linear expressions with rational coefficients.

CCSS
7.EE.2

Rewrite an expression in different forms.

CCSS
7.EE.1

Combine like terms to simplify.

SMP
MP.7

Use structure to combine like terms.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Color-code like terms.
  • Sentence frame: “___ and ___ are like terms.”
  • Use algebra tiles.

Support & Access

IEP / 504
  • Start with two like terms.
  • Color-code by variable.
  • Combine one pair at a time.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Combine terms with two variables.
  • Use the distributive property first.
  • Simplify multi-step expressions.
Materials

What to gather

  • 📽️Projector / board
  • 🟦Algebra tiles
  • 💻Sort the Terms
  • 🖍️Colored pencils
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

terma part of an expressionlike termsterms with the same variablevariablea letter for an unknownconstanta number by itselfcoefficientthe number in front of a variablesimplifyto make simplerexpressiona math phrase without an =combineto add or subtract together
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
Simplify: 3x + 5x.
8x.
QUESTION 2
Can you combine 4x and 7? Why or why not?
No — they aren’t like terms (one has a variable, one is a constant).
QUESTION 3
Simplify: 2x + 3 + 4x + 1.
6x + 4.

Going deeper? Distribute first.

Have students simplify expressions that need the distributive property first, like 2(x + 3) + 4x. A printable expressions sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Combining Like TermsFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Combining Like TermsQuiz
Score: 0
1 / 6
Question 1
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Nice work!

Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Combining Like TermsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: coefficient, combine, constant, expression, like terms, simplify, term, variable
  1. a math phrase without an =
  2. a part of an expression
  3. to add or subtract together
  4. a letter for an unknown
  5. the number in front of a variable
  6. terms with the same variable
  7. to make simpler
  8. a number by itself

Part B · Show what you learned

  1. Simplify: 3x + 5x.
  2. Can you combine 4x and 7? Why or why not?
  3. Simplify: 2x + 3 + 4x + 1.
Answer key — Part A: 1) expression · 2) term · 3) combine · 4) variable · 5) coefficient · 6) like terms · 7) simplify · 8) constant
Part B: 1) 8x. 2) No — they aren’t like terms (one has a variable, one is a constant). 3) 6x + 4.