Free Printable WorksheetMathGrade 5Math Curriculum5.OA.B.3

5.88 Determine a Value Using a Two Variable Rule Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.88 Determine a Value Using a Two Variable Rule. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct answer for using a two-variable rule to find a missing value in a table and identify the correct ordered pair. Choose the step-by-step solution that follows the order of operations and uses grouping symbols correctly. Corresponding standards: CCSS 5.OA.B.3.

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 5

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 5.88 Determine a Value Using a Two Variable Rule skill assessments:

Problem 1Difficulty: Mastery
A final review table asks which ordered pair completes the two-variable rule. A table uses y = 5 * (x + 12) + 8. If the x-value is 7, which ordered pair should be recorded?
A(103, 7)
B(7, 103)
C(7, 104)
D(8, 108)
Solution & Explanation:First find y for x = 7. Substitute x = 7: y = 5 * (7 + 12) + 8 = 5 × 19 + 8 = 95 + 8 = 103, so the ordered pair is (7, 103). Since ordered pairs are (x, y), the correct pair is (7, 103).
Problem 2Difficulty: Mastery
A practice quiz table asks which solution follows order of operations. This table has one missing output: x-values: 4, 9, 13; y-values: 58, ?, 148. Which rule and missing value fit all of the shown pairs?
Ay = 10 × x + 12 − 30; missing y = 109
By = (10 × x + 29) − 12; missing y = 108
Cy = (10 × x + 30) − 12; missing y = 108
Dy = (10 × x + 30) − 12; missing y = 107
Solution & Explanation:The shown values match the rule y = (10 × x + 30) − 12. For the missing column, use x = 9. Substitute x = 9: y = (10 × 9 + 30) − 12 = (90 + 30) − 12 = 120 − 12 = 108, so the ordered pair is (9, 108). The missing value is 108.
Problem 3Difficulty: Mastery
A school assembly table asks which input-output row is valid. The output y is found from the input x by the rule y = 8 * (x − 9) + 20. Table: x-values: 11, 14, 18; y-values: 36, ?, 92. What is the missing output and its ordered pair?
A61 and (14, 61)
B60 and (60, 14)
C59 and (59, 14)
D60 and (14, 60)
Solution & Explanation:Use the rule with x = 14. Substitute x = 14: y = 8 * (14 − 9) + 20 = 8 × 5 + 20 = 40 + 20 = 60, so the ordered pair is (14, 60). The missing y-value is 60, so the ordered pair is (14, 60).

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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 5 Math students. It aligns with educational standard 5.OA.B.3 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.OA.B.3. Skill statement in this prompt cell: Select the correct answer for identify a two-variable rule to identify a missing value in a table and identify the correct ordered pair. Choose the step-by-step solution that follows identify of operations and uses grouping symbols correctly. Associated standards listed with this skill in this prompt cell: CCSS 5.OA.B.3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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