Free Printable WorksheetMathGrade 8Math Curriculum8.EE.B.5

8.45 Comparing Proportional Relationships Across Representations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.45 Comparing Proportional Relationships Across Representations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.45 Comparing Proportional Relationships Across Representations - Which comparison correctly identifies which proportional relationship has the greater unit rate (slope)? (CCSS 8.EE.B.5; CCSS 7.RP.A.2; CA 8.EE.B.5; MA 8.EE.B.5)

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

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Below are sample questions representative of the exercises included on this worksheet and related 8.45 Comparing Proportional Relationships Across Representations skill assessments:

Problem 1Difficulty: Hard

Tristan's table shows (minutes, liters) pairs of (12, 39), (24, 78), and (36, 117). In 12 minutes, Felicity's pump fills 39 liters. Which statement correctly compares the two proportional relationships?

ATristan has the greater liters per minute.

BFelicity has the greater liters per minute.

CBoth have the same liters per minute.

DOne of the relationships is not proportional.

Solution & Explanation:From Tristan's table, 39/12 = 3.25 liters per minute. From Felicity's description, 39/12 = 3.25 liters per minute. Both relationships have the same liters per minute of 3.25.

Problem 2Difficulty: Hard

The equation for Jalen is d = 3.4g, with g measured in gallons and d measured in miles. Brady's car travels 22 miles on 8 gallons of gas. Which statement about the two rates is correct?

AJalen has the greater miles per gallon by 0.65.

BBrady has the greater miles per gallon by 0.65.

CBoth have the same miles per gallon.

DOne of the relationships is not proportional.

Solution & Explanation:From Jalen's equation, the coefficient of g is 3.4, so the unit rate is 3.4 miles per gallon. From Brady's description, 22/8 = 2.75 miles per gallon. Jalen's miles per gallon is greater by 0.65.

Problem 3Difficulty: Hard

In Reid's table, the ordered pairs (games, points) are (20, 115), (24, 138), and (32, 184). Zane's graph includes (0, 0), (10, 65), and (14, 91) on a points-games graph. Which comparison is true?

AReid has the greater points per game by 0.75.

BZane has the greater points per game by 0.75.

CBoth have the same points per game.

DOne of the relationships is not proportional.

Solution & Explanation:From Reid's table, 115/20 = 5.75 points per game. From Zane's graph, the slope is 65/10 = 6.5 points per game. Zane's points per game is greater by 0.75.

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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.B.5 (Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.).