Free Printable WorksheetMathGrade 7Math Curriculum7.33

7.33 Unit analysis and conversion factors Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.33 Unit analysis and conversion factors. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.33 Unit analysis and conversion factors - In multiple-choice items, students select the conversion factor or unit-canceling setup that correctly converts one unit to another. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.3.3; TX 7.4(E); VA 7.CE.2)

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 7.33 Unit analysis and conversion factors skill assessments:

Problem 1Difficulty: Mastery

A recipe calls for 2.5 cups of water. Use: 1 cup = 240 mL; 1 L = 1000 mL. Which unit-canceling setup correctly converts 2.5 cup to L?

A2.5 cup * (1 cup per 240 mL) * (1 L per 1000 mL)

B2.5 cup * (240 mL per 1 cup)

C2.5 cup * (240 mL per 1 cup) * (1 mL per 1000 mL)

D2.5 cup * (240 mL per 1 cup) * (1 L per 1000 mL)

Solution & Explanation:Start with 2.5 cup. Multiply by conversion factors that equal 1 and are oriented so units cancel: (240 mL per 1 cup) * (1 L per 1000 mL). After canceling matching units, the remaining unit is L.

Problem 2Difficulty: Mastery

A drone travels 1.5 km in 30 min (so its rate is 1.5 km per 30 min). Use: 1 km = 1000 m; 1 min = 60 s. Which unit-canceling setup correctly converts 1.5 km per 30 min to m per s?

A1.5 km per 30 min * (1 km per 1000 m) * (1 min per 60 s)

B1.5 km per 30 min * (1000 m per 1 km)

C1.5 km per 30 min * (1000 m per 1 km) * (1 min per 60 s)

D1.5 km per 30 min * (1000 m per 1 km) * (1 hr per 60 s)

Solution & Explanation:Start with 1.5 km per 30 min. Multiply by conversion factors that equal 1 and are oriented so units cancel: (1000 m per 1 km) * (1 min per 60 s). After canceling matching units, the remaining unit is m per s.

Problem 3Difficulty: Mastery

A car gets 32 mi per 1 gal. Use: 1 mi = 1.609 km; 1 gal = 3.785 L. Which unit-canceling setup correctly converts 32 mi per 1 gal to km per L?

A32 mi per 1 gal * (1 mi per 1.609 km) * (1 gal per 3.785 L)

B32 mi per 1 gal * (1.609 km per 1 mi) * (1 gal per 3.785 L)

C32 mi per 1 gal * (1.609 km per 1 mi)

D32 mi per 1 gal * (1.609 km per 1 mi) * (1 qt per 3.785 L)

Solution & Explanation:Start with 32 mi per 1 gal. Multiply by conversion factors that equal 1 and are oriented so units cancel: (1.609 km per 1 mi) * (1 gal per 3.785 L). After canceling matching units, the remaining unit is km per L.

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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 7.33 (Practice and review Grade 7 math skill 7.33: Unit Analysis and Conversion Factors.).