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7.35 Error analysis in proportional reasoning Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.35 Error analysis in proportional reasoning. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.35 Error analysis in proportional reasoning - In multiple-choice items, students choose which step is wrong in a proportional solution and select the corrected step. (CCSS 7.RP.A.2; CA 7.RP.2; MA 7.RP.2; NY 7.RP.2; FL MA.7.AR.4.1; TX 7.4(A); 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 7.35 Error analysis in proportional reasoning skill assessments:

Problem 1Difficulty: Mastery

A dough recipe uses 1.5 tablespoons of yeast for 2.4 kg of dough. How many teaspoons of yeast are needed for 4 kg of dough? (1 tablespoon = 3 teaspoons) Student work: Step 1: Set up the proportion: 1.5: 2.4 = x: 4 Step 2: Cross-multiply: 1.5 × 4 = 2.4x Step 3: Solve: x = 6 ÷ 2.4 = 2.5 tablespoons Step 4: Answer: 75 teaspoons Which is the first step that is wrong, and what should it be?

AStep 1 is wrong. It should be: Set up the proportion: 2.4: 1.5 = x: 4

BStep 2 is wrong. It should be: Cross-multiply: 2.4 × 4 = 1.5x

CStep 3 is wrong. It should be: Solve: x = 6 ÷ 1.5 = 4 tablespoons

DStep 4 is wrong. It should be: Answer: 7.5 teaspoons

Solution & Explanation:Steps 1–3 give 2.5 tablespoons. Convert to teaspoons: 2.5 × 3 = 7.5 teaspoons. Step 4 is the first wrong step.

Problem 2Difficulty: Mastery

A test score of 84 points is 70% of the total possible points. What is the total possible score? Student work: Step 1: Set up the proportion: 84: x = 70: 100 Step 2: Cross-multiply: 84 × 100 = 70x Step 3: Solve: x = 8400 ÷ 70 = 110 Step 4: Answer: 110 points Which is the first step that is wrong, and what should it be?

AStep 1 is wrong. It should be: Set up the proportion: x: 84 = 70: 100

BStep 2 is wrong. It should be: Cross-multiply: 70 × 100 = 84x

CStep 3 is wrong. It should be: Solve: x = 8400 ÷ 70 = 120

DStep 4 is wrong. It should be: Answer: 120 points

Solution & Explanation:8400 ÷ 70 = 120. Step 3 is the first wrong step; the total possible score is 120 points.

Problem 3Difficulty: Mastery

In a proportional relationship, x = 1.2 gives y = 0.9. What is x when y = 7.5? Student work: Step 1: Find the constant: k = 0.9 ÷ 1.2 = 0.75 Step 2: Write the equation: y = 1.333x Step 3: Substitute y = 7.5: 7.5 = 1.333x, so x ≈ 5.63 Step 4: Answer: x ≈ 5.63 Which is the first step that is wrong, and what should it be?

AStep 1 is wrong. It should be: Find the constant: k = 1.2 ÷ 0.9

BStep 2 is wrong. It should be: Write the equation: y = 0.75x

CStep 3 is wrong. It should be: Substitute y = 7.5: 7.5 = 0.75x, so x = 10

DStep 4 is wrong. It should be: Answer: x = 10

Solution & Explanation:Step 2 is the first wrong step. With k = 0.75, the equation is y = 0.75x. Then x = 7.5 ÷ 0.75 = 10.

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Frequently Asked Questions

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QIs this 7.35 Error analysis in proportional reasoning worksheet free for teachers and homeschoolers?

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QCan students practice 7.35 Error analysis in proportional reasoning online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.35 Error analysis in proportional reasoning interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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 7.35 (Practice and review Grade 7 math skill 7.35: Error Analysis in Proportional Reasoning.).