Free Printable WorksheetMathGrade 7Math Curriculum7.EE.B.4a

7.91 Balance models and algebra tiles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.91 Balance models and algebra tiles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.91 Balance models and algebra tiles - In multiple-choice items, students select the model that matches an equation and choose the next valid move that keeps the equation balanced. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; VA 7.PFA.4)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.91 Balance models and algebra tiles skill assessments:

Problem 1Difficulty: Mastery
Which model step correctly represents 2(x - 3) + x = 12 and gives the first balanced solving move?
AUngroup and combine to 2x - 3 = 12; then add 3 unit tiles to both sides
BUngroup and combine to 3x + 6 = 12; then remove 6 unit tiles from both sides
CUngroup and combine to x - 6 = 12; then divide both sides by 2
DUngroup and combine to 3x - 6 = 12; then add 6 unit tiles to both sides
Solution & Explanation:Two groups of x - 3 plus one more x make 3x - 6, so adding six units to both sides removes the negative units.
Problem 2Difficulty: Mastery
Which balanced sequence solves 7x - 4 = 3x + 20?
ARemove 4 units from the left side only; remove 3 x-tiles from the right side only; divide by 7
BRemove 7 x-tiles from both sides; remove 4 units from both sides; divide by 3
CRemove 3 x-tiles from both sides; add 4 unit tiles to both sides; divide both sides by 4
DAdd 3 x-tiles to both sides; add 20 units to both sides; divide by 10
Solution & Explanation:Subtracting 3x gives 4x - 4 = 20, adding 4 gives 4x = 24, and dividing by 4 gives x = 6.
Problem 3Difficulty: Mastery
A class is modeling 3x - 2 = x + 4. Which added tiles keep the equation balanced without changing its solution?
AAdd 1 x-tile to the right side only
BAdd the same zero pair to both sides
CRemove the negative units from the left side only
DAdd 2 unit tiles to the left side only
Solution & Explanation:Adding equal zero-value pairs to both sides keeps both side values unchanged and preserves the solution.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.91 Balance models and algebra tiles worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 7.91 Balance models and algebra tiles worksheet free for teachers and homeschoolers?

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QCan students practice 7.91 Balance models and algebra tiles online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.91 Balance models and algebra tiles interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.EE.B.4a (Primary standard selected for prompt fields in this prompt cell: CCSS 7.EE.B.4a. Skill statement in this prompt cell: In multiple-choice items, students select the model that matches an equation and choose the next valid move that keeps the equation balanced. Associated standards listed with this skill in this prompt cell: CCSS 7.EE.B.4a; FL MA.7.AR.2.2; VA 7.PFA.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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