MAKE IT YOURS

A world for every learner

Choose a grade to discover its colours and creative world.

Your grade

Grade 7 Expanding & Factoring Linear Expressions Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 4: Expressions & EquationsEquivalent ExpressionsCCSS 7.EE.A.1

Using the distributive property to expand, factor and simplify linear expressions. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

Save to Pinterest Jump to answer key

Answer keys checked by code
No ads, ever
No student accounts needed
Safety & privacy

Practice Sheetaethelsystems.com

Expanding & Factoring Linear Expressions

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Equivalent Expressions · CCSS 7.EE.A.1

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Expand: 2(2x + 9)

Answer: 4x + 18

RememberLike terms and distributing

1
Factor completely: 3x - 24
Answer
2
Factor completely: 9x - 21
Answer
3
Factor completely: 5x + 25
Answer
4
Factor completely: 36x + 30
Answer
5
Expand: 2(3x + 3)
Answer
6
Factor completely: 12x + 42
Answer
7
Factor completely: 18x + 33
Answer
8
Factor completely: 14x + 63
Answer
9
Expand: 6(x - 2)
Answer
10
Expand: 9(x + 8)
Answer
11
Expand: 5(x - 7)
Answer
12
Factor completely: 35x - 7
Answer

★ Challenge corner for fast finishers

Three consecutive whole numbers add up to 18. What is the smallest number?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/factor_linear

Answer key (click to show)

1.3(x - 8)
2.3(3x - 7)
3.5(x + 5)
4.6(6x + 5)
5.6x + 6
6.6(2x + 7)
7.3(6x + 11)
8.7(2x + 9)
9.6x - 12
10.9x + 72
11.5x - 35
12.7(5x - 1)
★5 (challenge corner)

Need another Expanding & Factoring Linear Expressions worksheet?

Generate unlimited fresh versions at easy, medium or hard difficulty, each with its own answer key. Free during our launch — no card needed.

Create a free account

How to use this worksheet

Works well as a bell-ringer, exit ticket, homework set or quick quiz.
Have students self-check with the answer key, then correct their own mistakes before you review.
Generate a new version of the same topic for a re-test, so students can't just memorise the answers.

Related worksheets

More Grade 7 Math worksheets

Grade 7 Combining Like Terms Grade 7 Distributive Property Grade 7 Algebra Basics (Mixed)Grade 7 Order of Operations Grade 7 Evaluating Expressions Grade 7 Expressions & Equations (Mixed)Grade 7 Solving One-Step Equations Grade 7 Solving for x

Guides for teaching Expanding & Factoring Linear Expressions

How to Solve Math Word Problems: A 4-Step MethodRead, plan, solve, check — a simple routine for any word problem, with worked examples and the keyword trap to avoid.

Can't find what you need? Tell us which worksheet to make next.

Frequently asked questions

Does this Grade 7 Expanding & Factoring Linear Expressions worksheet come with answers?

Yes. The full answer key is on this page, and it prints on its own page after the questions. Every answer is calculated or checked by code rather than written by an AI model, so the key is always correct.

How do I print it or save it as a PDF?

Click "Download PDF" to save a ready-to-print PDF with the answer key on the last page, or click "Print" to send the worksheet and answer key straight to your printer.

Can I get a different Expanding & Factoring Linear Expressions worksheet?

Yes. Create a free account to generate as many fresh Grade 7 Expanding & Factoring Linear Expressions worksheets as you like, at easy, medium or hard difficulty, each with its own answer key.

Is this worksheet free?

Yes. This worksheet is free to print, and Practice Sheet is free to use during our launch with no card needed.