Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.3

8.159 Interpreting Slope and Intercept in a Data Context Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.159 Interpreting Slope and Intercept in a Data Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.159 Interpreting Slope and Intercept in a Data Context - Which interpretation correctly explains the meaning of the slope and intercept in the context of the data? (CCSS 8.SP.A.3; CA 8.SP.A.3; MA 8.SP.A.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 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 8.159 Interpreting Slope and Intercept in a Data Context skill assessments:

Problem 1Difficulty: Hard

Two devices are modeled by linear equations for battery level B, in percent. Device A uses B = -8h + 100 and Device B uses B = -10h + 90, where h is the number of hours. Which statement correctly compares the slopes and intercepts?

ADevice A has the greater predicted value of the battery level when the number of hours is 0. Device B decreases faster because its slope -10 is more negative than -8.

BDevice B has the greater predicted value of the battery level when the number of hours is 0. Device A decreases faster because its slope -10 is more negative than -8.

CDevice B has the greater predicted value of the battery level when the number of hours is 0. Device B decreases faster because its slope -10 is more negative than -8.

DDevice A has the greater starting value because its slope -8 is larger than -10. Device A has the greater rate of change because its intercept 100 is larger than 90.

Solution & Explanation:Device A has the higher intercept, so it has the greater predicted value of the battery level when the number of hours is 0. Device B has the more negative slope, so the battery level decreases faster for Device B as the number of hours increases.

Problem 2Difficulty: Hard

Two fundraiser teams model the money raised R, in dollars. For this context, Team A uses the model R = 4i + 20 and Team B uses R = 5i + 10, where i represents the number of items sold. Which statement best compares the two models?

ATeam A has the greater rate of increase because 5 is larger than 4. Team B has the greater starting the money raised.

BTeam B has the greater predicted value of the money raised when the number of items sold is 0. Team B has the greater rate of increase because 5 is larger than 4.

CTeam A has the greater predicted value of the money raised when the number of items sold is 0. Team B has the greater rate of increase because 4 is larger than 5.

DTeam B has the greater rate of increase because 5 is larger than 4. Team A has the greater starting the money raised.

Solution & Explanation:Team A has the higher intercept, so it has the greater predicted value of the money raised when the number of items sold is 0. Team B has the larger slope, so the money raised increases faster for Team B each time the number of items sold increases by 1.

Problem 3Difficulty: Hard

Two pizza delivery services model the total cost C, in dollars. Two linear models are Service A: C = 9p + 3 and Service B: C = 7p + 7. What is the best interpretation of how the slope and intercept differ?

AService A has the greater predicted value of the total cost when the number of pizzas ordered is 0. Service A has the greater rate of increase because 9 is larger than 7.

BService B has the greater predicted value of the total cost when the number of pizzas ordered is 0. Service A has the greater rate of increase because 7 is larger than 9.

CService B has the greater starting the total cost. Service A has the greater rate of increase because 9 is larger than 7.

DService A has the greater starting the total cost. Service B has the greater rate of increase because 9 is larger than 7.

Solution & Explanation:Service B has the higher intercept, so it has the greater predicted value of the total cost when the number of pizzas ordered is 0. Service A has the larger slope, so the total cost increases faster for Service A each time the number of pizzas ordered increases by 1.

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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.SP.A.3 (Primary standard selected for prompt fields: CCSS 8.SP.A.3. Skill statement: Which interpretation correctly explains the meaning of the slope and intercept in the context of the data? Associated standards listed with this skill: CCSS 8.SP.A.3; CA 8.SP.A.3; MA 8.SP.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).