Free Printable WorksheetMathGrade 6Math Curriculum7.EE.B.4 (Extension)

6.78 Solve Two Step Equations and Inequalities (Extension) Worksheet

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Q: Can students practice 6.78 Solve Two Step Equations and Inequalities (Extension) online with instant feedback?

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Q: What grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 7.EE.B.4 (Extension) (Solve Two-Step Equations and Inequalities (Extension)).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.78 Solve Two Step Equations and Inequalities (Extension). Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly solves the two-step equation or inequality and identifies the correct solution set? (CCSS 7.EE.B.4 (Extension); TX 19 TAC §111.26(b)(10)(A); FL MA.7.AR.2.1 (Extension); VA 6.PFA.3c, 6.PFA.4b)

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 6

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 6.78 Solve Two Step Equations and Inequalities (Extension) skill assessments:

Problem 1Difficulty: Mastery

Which answer choice correctly solves -0.25b + 2.5 = -1 and identifies the solution set?

Ab = -6; solution set {-6}

Bb = 14; solution set {14}

Cb = 3/2; solution set {3/2}

Db = 7/8; solution set {7/8}

Solution & Explanation:Subtract 2.5 from both sides to get -0.25b = -3.5. Divide by -0.25 to get b = 14, so the solution set is {14}.

Problem 2Difficulty: Mastery

Solve (3/4)(a - 8) > 6. Which answer choice gives the correct solution set?

Aa < 16; solution set is all values < 16

Ba > 0; solution set is all values > 0

Ca > 16; solution set is all values > 16

Da < 0; solution set is all values < 0

Solution & Explanation:Expanding (3/4)(a - 8) gives (3/4)a - 6. Add 6 to both sides: (3/4)a > 12. Divide by 3/4; the sign stays the same because the divisor is positive, so a > 16.

Problem 3Difficulty: Mastery

A phone plan costs 18 dollars plus 0.05 dollar per message z. Which option solves 18 + 0.05z <= 25 and states the solution set?

Az >= 140; solution set is all values >= 140

Bz <= 860; solution set is all values <= 860

Cz >= 860; solution set is all values >= 860

Dz <= 140; solution set is all values <= 140

Solution & Explanation:Subtract 18 from both sides: 0.05z <= 7. Divide by 0.05; the sign stays the same because 0.05 is positive, so z <= 140.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.78 Solve Two Step Equations and Inequalities (Extension) 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 6.78 Solve Two Step Equations and Inequalities (Extension) worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 6.78 Solve Two Step Equations and Inequalities (Extension) online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.78 Solve Two Step Equations and Inequalities (Extension) 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 6 Math students. It aligns with educational standard 7.EE.B.4 (Extension) (Solve Two-Step Equations and Inequalities (Extension)).