Free Printable WorksheetMathAlgebra IMath CurriculumF-BF.1a

ALG1.52 Direct and Inverse Variation Worksheet

Download our free printable Algebra I Math worksheet on ALG1.52 Direct and Inverse Variation. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Direct and Inverse Variation Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.52 Direct and Inverse Variation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.52 Direct and Inverse Variation - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.1a. Skill statement in this prompt cell: Identify direct variation and inverse variation from tables, graphs, and equations; Select the equation, inequality, expression, or function that represents variation equations and use them to solve contextual problems. Associated standards listed with this skill in this prompt cell: CCSS: F-BF.1a; A-CED.2; F-IF.7a; TEKS: §111.39(c)(2)(E–G), (3)(C); VA SOL: A.F.1 c–f; FL B.E.S.T.: MA.912.AR.2.2–2.4; NY-NGLS: AI-F.IF.7a, AI-A.CED.2; CA CCSSM: F-BF.1a, F-IF.7a; MA 2017: HS.F-BF.1a; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 4, 6. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Algebra I

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 ALG1.52 Direct and Inverse Variation skill assessments:

Problem 1Difficulty: Mastery
A relationship has a graph that is a line through (0, 0), and for every nonzero x-value the ratio y/x = -2. Which statement is correct?
AThe relationship is direct variation with equation y = -2x
BThe relationship is inverse variation with equation y = -2/x
CThe relationship is direct variation with equation y = x - 2
DThe relationship is neither direct nor inverse variation
Solution & Explanation:A constant ratio y/x = k means direct variation. Since k = -2, the equation is y = -2x.
Problem 2Difficulty: Mastery
Which representation shows an inverse variation with constant of variation k = -18?
Ay = -18x
By = -18/x
Cy = x - 18
Dy = 18/x
Solution & Explanation:Inverse variation with constant k has the form y = k/x. With k = -18, the equation is y = -18/x.
Problem 3Difficulty: Mastery
If y varies directly with x and y = 6.6 when x = 2.2, what is y when x = 7.5?
Solution & Explanation:The constant is k = 6.6/2.2 = 3. Then y = 3(7.5) = 22.5.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG1.52 Direct and Inverse Variation 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 ALG1.52 Direct and Inverse Variation 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 ALG1.52 Direct and Inverse Variation online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG1.52 Direct and Inverse Variation 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 Algebra I Math students. It aligns with educational standard F-BF.1a (Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.1a. Skill statement in this prompt cell: Identify direct variation and inverse variation from tables, graphs, and equations; Select the equation, inequality, expression, or function that represents variation equations and use them to solve contextual problems. Associated standards listed with this skill in this prompt cell: CCSS: F-BF.1a; A-CED.2; F-IF.7a; TEKS: §111.39(c)(2)(E–G), (3)(C); VA SOL: A.F.1 c–f; FL B.E.S.T.: MA.912.AR.2.2–2.4; NY-NGLS: AI-F.IF.7a, AI-A.CED.2; CA CCSSM: F-BF.1a, F-IF.7a; MA 2017: HS.F-BF.1a; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 4, 6. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Algebra I Math Resources

Continue learning with complementary skill worksheets and online practice