Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.3

ALG1.119 Sequence Word Problems Answer Key Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.119 Sequence Word Problems Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.119 Sequence Word Problems - Select the correct solution to sequence problems in context, such as savings plans or patterns in designs; Select the statement that correctly interprets what specific terms and parameters mean for the situation. (CCSS: F-IF.3; F-BF.2; TEKS: §111.39(c)(10) (sequences referenced), local scope; VA SOL: A.F.2 g (comparisons); FL B.E.S.T.: MA.912.F.1.1 (function types include linear/exponential), MA.912.AR.5.* (geometric growth); NY-NGLS: AI-F.IF.3, AI-F.BF.2; CA CCSSM: F-IF.3, F-BF.2; MA 2017: HS.F-BF.2; DoDEA CCRSM; NAEP: Algebra—patterns; NCTM P2A: Practices 2, 4.)

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 I

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 ALG1.119 Sequence Word Problems Answer Key skill assessments:

Problem 1Difficulty: Mastery

A design sequence is 7, 13, 19, 25, ... tiles for figures 1, 2, 3, 4. Which statement is correct?

AThe formula can be t_n = 6n + 1, and each new figure adds 6 tiles

BThe formula can be t_n = 7n + 6, and each new figure adds 7 tiles

CThe sequence is geometric because 13 is almost twice 7

DThe expression t_0 must describe a real figure in the pattern

Solution & Explanation:The common difference is 6. The formula t_n = 6n + 1 gives 7 when n = 1 and increases by 6 each time.

Problem 2Difficulty: Mastery

Lily deposits $5 in week 1, then doubles the deposit each week for 4 weeks. What is her total deposit over the 4 weeks?

A$40

B$55

C$75

D$80

Solution & Explanation:The weekly deposits are 5, 10, 20, and 40 dollars. The total is 5 + 10 + 20 + 40 = 75 dollars.

Problem 3Difficulty: Mastery

An arithmetic sequence has a_4 = 41 and a_9 = 76. Which formula gives a_n?

Aa_n = 20 + 7(n - 1)

Ba_n = 41 + 7(n - 1)

Ca_n = 20(7)^(n - 1)

Da_n = 76 - 5(n - 1)

Solution & Explanation:From term 4 to term 9 there are 5 increases totaling 35, so the difference is 7. Since a_4 = a_1 + 3(7) = 41, a_1 = 20.

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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 Algebra I Math students. It aligns with educational standard F-IF.3 (Students solve sequence problems in context, including arithmetic and geometric patterns, and interpret what terms, indices, initial values, differences, ratios, and parameters mean in the situation. Associated standards include CCSS F-IF.3 and F-BF.2, with related state and local sequence/function standards as applicable.).