Free Printable WorksheetMathGeometryMath CurriculumG-MG.A.2-3

GEO.187 Set up equations and solve for unknowns in modeling problems Worksheet

Download our free printable Geometry Math worksheet on GEO.187 Set up equations and solve for unknowns in modeling problems. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.187 Set up equations and solve for unknowns in modeling problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.187 Set up equations and solve for unknowns in modeling problems - Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.2-3. Skill statement in this prompt cell: Select the correct equation setup for a modeling problem and choose the correct value of the unknown. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. 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

Geometry

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 GEO.187 Set up equations and solve for unknowns in modeling problems skill assessments:

Problem 1Difficulty: Mastery
A mosaic uses 8 congruent triangular tiles, each with area 6 square inches, and x square tiles, each with area 9 square inches. The total mosaic area is 138 square inches. Which setup and value are correct?
A8(6) + 9x = 138; x = 10
B8x + 9(6) = 138; x = 15.75
C8(6)(9)x = 138; x = 23/72
D8 + 6 + 9 + x = 138; x = 115
Solution & Explanation:The triangular tiles contribute 8(6) = 48 square inches, and the square tiles contribute 9x. The equation 8(6) + 9x = 138 gives 9x = 90, so x = 10 square tiles.
Problem 2Difficulty: Mastery
A hallway is 4 feet wide and x feet long. It is covered by 60 square tiles, each with side length 2 feet. Which setup and value of x are correct?
A60(22) = 4x; x = 60
B60(2) = 4x; x = 30
C60 + 22 = 4x; x = 16
D4 + x = 60(22); x = 236
Solution & Explanation:Each tile has area 22 = 4 square feet, so 60 tiles cover 60(4) square feet. The hallway area is 4x, giving 60(22) = 4x and x = 60 feet.
Problem 3Difficulty: Mastery
A rectangle has width x feet, length x + 5 feet, and area 84 square feet. The equation x + (x + 5) = 84 gives x = 39.5.
ATrue
BFalse
Solution & Explanation:This is false because area requires multiplying width and length, not adding them. The correct setup is x(x + 5) = 84, and x = 7 because 7(12) = 84.

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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 Geometry Math students. It aligns with educational standard G-MG.A.2-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.2-3. Skill statement in this prompt cell: Select the correct equation setup for a modeling problem and choose the correct value of the unknown. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. Use this prompt-provided wording as the supporting standard description for this workflow.).

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