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Combining Like Terms Color by Number – 10 Questions

Ten algebraic-expression simplification problems, including distributive-property expansions and negative coefficients, double as a color-by-number key for a hidden picture.
Grades
Grade 9, High School
File type
PDF
Preparation
Print ready

Updated Jan 19, 2023

Subject
Math, Algebra
Topic
algebra, math center
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Combining Like Terms Color by Number is a 4-page printable to give students practice in an engaging way.

Students will answer 10 questions. The answer to each question will reveal the color they will use to color the picture.

When they finish, they will have a complete picture.

Answer key included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Combine like terms in linear expressions, including those requiring the distributive property first.

  • Simplify expressions containing both positive and negative coefficients.

  • Self-check simplification work by comparing a finished picture's colors against the intended design.

Teaching tips

  • Each problem offers three plausible-looking answer choices (typically a sign error, a distribution error, and the correct answer), so this doubles as error-analysis practice — have students explain why the two incorrect options are common mistakes.

  • Hand out the answer key pages separately so students self-check by comparing their colored picture rather than copying answers directly.

  • Problems mix straightforward combining (questions 1, 2) with distributive-property expansion (questions 3, 6, 9), so sequence review accordingly if using it as a warm-up rather than all at once.

Skills covered

  • Combining like terms — students simplify linear expressions such as 6s + 4s − 9 − 2 into a single simplified term.

  • Distributive property — problems such as 2(5 + 3x) and 5(2k + 5) – 2(4k + 2) require expanding before combining terms.

  • Negative-coefficient arithmetic — several problems (e.g., −9g + 2g − 2 + 4, −4f − 19f) require correctly tracking negative signs through simplification.

  • Self-checking through color-coded answers — students verify their own simplification work by whether their picture colors match the intended design.

Good to know

Questions teachers ask about this resource

How does the coloring page confirm whether a simplification is correct?

Each problem's three answer choices are each tied to a different color, so a student's finished picture only matches the intended design when every simplification was solved correctly.

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Curriculum

Standards, concepts & topics

Standards

  • 7.EE.A.1 — Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
  • 6.EE.A.3 — Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y

Core concepts

  • Combining like terms

  • Distributive property

  • Algebraic expressions

  • Negative coefficients

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