Free Printable WorksheetMathGrade 7Math Curriculum7.46

7.46 Four operations with rational numbers in context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.46 Four operations with rational numbers in context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.46 Four operations with rational numbers in context - In multiple-choice items, students choose the correct answer for a rational-number word problem and identify which operations are needed. (CCSS 7.NS.A.3; CA 7.NS.3; MA 7.NS.3; NY 7.NS.3; FL MA.7.NSO.2.3; TX 7.3(B); VA 7.CE.1)

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 7.46 Four operations with rational numbers in context skill assessments:

Problem 1Difficulty: Mastery

A science club sells 22 items for 3.25 dollars each. The selling platform keeps 3/8 of the gross sales as a fee, and the club also pays 11.25 dollars in fixed costs. The remaining profit is shared equally among 7 members. Which expression should you evaluate?

A((22 × 3.25 - 3/8 - 11.25) ÷ 7)

B((22 × 3.25 + (22 × 3.25) × 3/8 - 11.25) ÷ 7)

C((22 × 3.25 - (22 × 3.25) × 3/8 - 11.25) × 7)

D((22 × 3.25 - (22 × 3.25) × 3/8 - 11.25) ÷ 7)

Solution & Explanation:Gross sales are (items × price). Fee is a fraction of gross, and fixed costs are subtracted. Then divide the remaining profit by the number of members. Gross: 22 × 3.25. Fee: gross × 3/8. Profit: gross − fee − fixed cost, then ÷ 7. Correct expression: ((22 × 3.25 - (22 × 3.25) × 3/8 - 11.25) ÷ 7). Value: 535/112.

Problem 2Difficulty: Mastery

In a freezer truck, the temperature starts at -11.5°C. It changes by 7/12°C per hour for 4.5 hours, then changes by -5/6°C per hour for 8/3 hours. Finally, an extra adjustment of -1.25°C is applied. Which expression should you evaluate?

A(-11.5) + 4.5 ÷ 7/12 + 8/3 × (-5/6) + (-1.25)

B(-11.5) + 4.5 × 7/12 + 8/3 × (-5/6) + (-1.25)

C(-11.5) - 4.5 × 7/12 + 8/3 × (-5/6) + (-1.25)

D(-11.5) + 4.5 + 7/12 + 8/3 × (-5/6) + (-1.25)

Solution & Explanation:For each stage, multiply (hours) × (rate) to get the temperature change, then add all changes to the start and apply the final adjustment. Stage 1 change: 4.5 × 7/12. Stage 2 change: 8/3 × -5/6. Add both changes and the adjustment to the starting temperature. Correct expression: (-11.5) + 4.5 × 7/12 + 8/3 × (-5/6) + (-1.25). Value: -889/72.

Problem 3Difficulty: Mastery

Zoe buys ribbon that costs 11.9 dollars for a 13.75-meter spool. Each project uses 19/24 meter(s) of ribbon. Zoe makes 4 projects and also wastes 9/16 meter(s) total. What expression gives the total cost of the ribbon used (including waste) at the same unit price? Which expression should you evaluate?

A(11.9 ÷ 13.75) ÷ (19/24 × 4 + 9/16)

B(11.9 ÷ 13.75) × (19/24 ÷ 4 + 9/16)

C(11.9 ÷ 13.75) × (19/24 × 4 + 9/16)

D(11.9 × 13.75) × (19/24 × 4 + 9/16)

Solution & Explanation:Unit price is (spool cost ÷ spool length). Total length used is (used per project × number of projects) + waste. Multiply unit price by total length. Unit price: 11.9 ÷ 13.75. Total length: 19/24 × 4 + 9/16. Correct expression: (11.9 ÷ 13.75) × (19/24 × 4 + 9/16). Value: 43601/13200.

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Frequently Asked Questions

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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 7.46 (Practice and review Grade 7 math skill 7.46: Four Operations with Rational Numbers in Context.).