Free Printable WorksheetMathGrade 8Math Curriculum8.EE.C.7

8.69 Modeling Real World Problems with One Variable Equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.69 Modeling Real World Problems with One Variable Equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.69 Modeling Real-World Problems with One-Variable Equations - Which equation and solution correctly model and answer the real-world problem? (CCSS 8.EE.C.7; CCSS 8.F.B.4; CA 8.EE.C.7; MA 8.EE.C.7)

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 8

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 8.69 Modeling Real World Problems with One Variable Equations skill assessments:

Problem 1Difficulty: Hard

A moving company charged a $30 flat fee plus $2 for each small box and $3 for each large box. A customer packed x small boxes and x - 4 large boxes, and the total cost was $93. Suppose x represents the number of small boxes. Which choice shows the right model and the right solution?

A30 + 2x + 3(x + 4) = 93 and x = 10.2

B30 + 2x + 3(x - 4) = 93 and x = 16

C30 + 2x + 3x - 4 = 93 and x = 13.4

D30 + 2x + 3(x - 4) = 93 and x = 15

Solution & Explanation:Let x represent the number of small boxes. 30 + 2x + 3(x - 4) = 93 models the situation. Write one expression for the first quantity and one for the related quantity, then solve the equation to get x = 15. The customer packed 15 small boxes.

Problem 2Difficulty: Hard

A charity walk charged a $5 entry fee plus $12 for each adult participant and $8 for each student participant. There were x adults and x + 5 students, and the total money collected was $225. Use x to represent the number of adult participants. What equation should be written, and what is the correct value of the variable?

A5 + 12x + 8(x - 5) = 225 and x = 13

B5 + 12x + 8x + 5 = 225 and x = 10.75

C5 + 12x + 8(x + 5) = 225 and x = 9

D5 + 12x + 8(x + 5) = 225 and x = 10

Solution & Explanation:Let x represent the number of adult participants. 5 + 12x + 8(x + 5) = 225 models the situation. Write one expression for the first quantity and one for the related quantity, then solve the equation to get x = 9. There were 9 adult participants.

Problem 3Difficulty: Hard

A school bought x boxes of markers with 12 markers each and x + 1 boxes of crayons with 8 crayons each. There were 88 items altogether. In this problem, let x represent the number of boxes of markers. Which choice correctly translates the problem into an equation and solves it?

A12x + 8(x + 1) = 88 and x = 4

B12x + 8x + 1 = 88 and x = 4.35

C12x + 8(x + 1) = 88 and x = 5

D12x + 8(x - 1) = 88 and x = 4.8

Solution & Explanation:Let x represent the number of boxes of markers. 12x + 8(x + 1) = 88 models the situation. Write one expression for the first quantity and one for the related quantity, then solve the equation to get x = 4. The school bought 4 boxes of markers.

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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 8 Math students. It aligns with educational standard 8.EE.C.7 (Primary standard selected for prompt fields: CCSS 8.EE.C.7. Skill statement: Which equation and solution correctly model and answer the real-world problem? Associated standards listed with this skill: CCSS 8.EE.C.7; CCSS 8.F.B.4; CA 8.EE.C.7; MA 8.EE.C.7. Use this embedded wording as the best available supporting standard description for this workflow.).