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ALG2.191 Modeling with Series Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.191 Modeling with Series. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.191 Modeling with Series - Practice questions for Modeling with Series.

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

Algebra II

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 ALG2.191 Modeling with Series skill assessments:

Problem 1Difficulty: Mastery

An 18-payment plan is arithmetic with common difference $15 and total $5310. Which equation would you use to solve for the first payment a1?

A5310 = 18(a1+15) divided by 2

B5310 = a1*(15 to the 18)

C5310 = 18(a1+15*18)

D5310 = 18*(2a1 + 17*15) divided by 2

Solution & Explanation:For an arithmetic series, S = n*(2a1+(n-1)d) divided by 2. Here n=18 and d=15, so 5310 = 18(2a1+17*15)/2, which is option D.

Problem 2Difficulty: Mastery

A lease payment increases by $6 each month. The last payment is $186 and the total paid is $1710. Which system correctly models the situation using a1 for the first payment and n for the number of months?

Aa1 + 6n = 186 and n(a1+186) = 1710

Ba1 + 6(n-1) = 1710 and n(a1+186) divided by 2 = 186

Ca1*6(n-1) = 186 and a1*n = 1710

Da1 + 6(n-1) = 186 and n(a1+186) divided by 2 = 1710

Solution & Explanation:The last payment is a1 + 6(n-1). The total for an arithmetic series is n(first+last) divided by 2. That gives the system in option D.

Problem 3Difficulty: Mastery

A ball is dropped from 12 m and each rebound reaches 70% of the previous height. Which expression gives the total distance traveled if it bounces forever?

A12 + 12*0.7 divided by (1-0.7)

B2*(12*0.7) divided by (1-0.7)

C12 + 2*(12*0.7) divided by (1-0.7)

D12*0.7 divided by (1-0.7)

Solution & Explanation:Total distance = initial drop (12) plus twice the sum of all rebound heights (up and down). Rebound heights sum to (12*0.7)/(1-0.7). So the correct expression is 12 + 2*(12*0.7)/(1-0.7), which is option C.

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Frequently Asked Questions

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QIs this ALG2.191 Modeling with Series worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard ALG2.191 (Practice questions for Modeling with Series.).