Free Printable WorksheetMathGrade 8Math Curriculum8.F.A.2

8.104 Comparing Functions 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 8.104 Comparing Functions Across Representations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.104 Comparing Functions Across Representations - Which comparison correctly identifies which function has the greater rate of change or initial value, or which is larger at a given input? (CCSS 8.F.A.2; CA 8.F.A.2; MA 8.F.A.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 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 8.104 Comparing Functions Across Representations skill assessments:

Problem 1Difficulty: Hard

Function A is represented by y = 1x - 1. Function B is described as starting at 0 and adding 3 for each 1-unit increase in x. Which statement correctly compares the two functions?

AFunction A has rate -1 and initial value 1; Function B has rate 0 and initial value 3.

BFunction A and Function B must have the same rate because both are linear.

CFunction B has rate 0 and initial value 3; Function A has rate 1 and initial value -1.

DFunction A has rate 1 and initial value -1; Function B has rate 3 and initial value 0.

Solution & Explanation:In y = mx + b, m is the rate and b is the initial value. The verbal description gives starting value 0 and rate 3.

Problem 2Difficulty: Hard

Function A is y = 5x - 4. Function B starts at -5 and increases by 2 each time x increases by 1. Compare the function values at x = 4.

AAt x = 4, Function B has the greater value.

BAt x = 4, both functions have the same value.

CAt x = 4, Function A has the greater value.

DThe values cannot be compared because the functions use different representations.

Solution & Explanation:Function A gives 5(4) - 4 = 16. Function B gives -5 + 2(4) = 3.

Problem 3Difficulty: Hard

Function A is y = 4x + 2. Function B has values shown in the table: x: 0, 1, 2; y: 1, 2, 3. Which comparison of initial values is correct?

AFunction B has the greater initial value.

BFunction A has the greater initial value.

CBoth functions have the same initial value.

DInitial value cannot be compared unless both functions are equations.

Solution & Explanation:The initial value is the y-value when x = 0. Function A has initial value 2; Function B has initial value 1.

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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.F.A.2 (Primary standard selected for this generated repair row: CCSS 8.F.A.2. Skill statement: Compare properties of two functions represented in different ways, such as equations, tables, and verbal descriptions.).