Free Printable WorksheetMathGrade 6Math Curriculum6.EE.B.8

6.71 Solve One Step Inequalities and Graph the Solution Set Worksheet

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Q: Is this 6.71 Solve One Step Inequalities and Graph the Solution Set 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.

Q: Can students practice 6.71 Solve One Step Inequalities and Graph the Solution Set 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 6.EE.B.8 (Solve One-Step Inequalities and Graph the Solution Set).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.71 Solve One Step Inequalities and Graph the Solution Set. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice shows the correct solution set for the inequality and the correct graph on the number line? (CCSS 6.EE.B.8; CA 6.EE.B.8; MA 6.EE.B.8; NY NY-6.EE.8; TX 19 TAC §111.26(b)(9)(A)-(B); FL MA.6.AR.1.2; VA 6.PFA.4a-e)

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 6.71 Solve One Step Inequalities and Graph the Solution Set skill assessments:

Problem 1Difficulty: Mastery

A value c is divided by 6 and the quotient is less than 7/3. For c/6 < 7/3, which option correctly describes the solution and number line graph?

Ac < 7/18; open circle at 7/18 and shade left

Bc > 14; open circle at 14 and shade right

Cc <= 14; closed circle at 14 and shade left

Dc < 14; open circle at 14 and shade left

Solution & Explanation:Multiply both sides by 6 to get c < 14. Because the number you multiplied by is positive, the inequality sign stays the same. Use an open circle at 14 and shade left.

Problem 2Difficulty: Mastery

A fraction b is reduced by 9/8 and the result is greater than 1/4. The inequality is b - 9/8 > 1/4. Which option gives both the correct solution set and the correct number line graph?

Ab > 11/8; open circle at 11/8 and shade right

Bb >= 11/8; closed circle at 11/8 and shade right

Cb > -7/8; open circle at -7/8 and shade right

Db < 11/8; open circle at 11/8 and shade left

Solution & Explanation:Add 9/8 to both sides to get b > 11/8. Use an open circle at 11/8 and shade right.

Problem 3Difficulty: Mastery

A number u has 2/3 added, and the result is at most -5/6. Use u + 2/3 <= -5/6. Which choice matches the solution set and graph on a number line?

Au < -3/2; open circle at -3/2 and shade left

Bu >= -3/2; closed circle at -3/2 and shade right

Cu <= -3/2; closed circle at -3/2 and shade left

Du <= -1/6; closed circle at -1/6 and shade left

Solution & Explanation:Subtract 2/3 from both sides to get u <= -3/2. Use a closed circle at -3/2 and shade left.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.71 Solve One Step Inequalities and Graph the Solution Set 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 6.71 Solve One Step Inequalities and Graph the Solution Set 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 6.71 Solve One Step Inequalities and Graph the Solution Set online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.71 Solve One Step Inequalities and Graph the Solution Set 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 6.EE.B.8 (Solve One-Step Inequalities and Graph the Solution Set).