Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.158

Pre CAL.158 Apply Sequences to Savings and Loan Contexts Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.158 Apply Sequences to Savings and Loan Contexts. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.158 Apply Sequences to Savings and Loan Contexts - Apply Sequences to Savings and Loan Contexts

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

Pre-Calculus

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 Pre CAL.158 Apply Sequences to Savings and Loan Contexts skill assessments:

Problem 1Difficulty: Mastery

A $12000 loan has no interest. Each month you pay 10% of the remaining balance. What is the smallest whole number of months until the total amount you have paid is at least $7000?

Solution & Explanation:Remaining balance after n months is 12000·(0.9 raised to n). Total paid is 12000 − 12000·(0.9 raised to n) = 12000·(1 − 0.9 raised to n). Solve 12000·(1 − 0.9 raised to n) ≥ 7000, so 0.9 raised to n ≤ 1 − 7000 ÷ 12000. Use logarithms and round up.

Problem 2Difficulty: Mastery

A $12000 loan has no interest. You pay the same percent of the remaining balance each month. After 8 months, the total amount you have paid is $4500. What percent do you pay each month, rounded to the nearest tenth of a percent?

Solution & Explanation:If p is the monthly percent paid, the remaining multiplier is (1 − p). Remaining balance after 8 months is 12000·((1 − p) raised to 8). Total paid equals 12000 minus remaining, so 4500 = 12000·(1 − (1 − p) raised to 8). Solve (1 − p) raised to 8 = 1 − 4500 ÷ 12000, then take the 8th root and convert to a percent.

Problem 3Difficulty: Mastery

A $15000 loan has no interest. Each month you pay 12% of the remaining balance. What is the total amount paid over the first 10 months, rounded to the nearest cent?

Solution & Explanation:Let the balance multiply by 0.88 each month (geometric). After n months the remaining balance is 15000·(0.88 raised to n). Total paid equals original balance minus remaining balance: 15000 − 15000·(0.88 raised to 10) = 15000·(1 − 0.88 raised to 10).

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this Pre CAL.158 Apply Sequences to Savings and Loan Contexts 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 Pre-Calculus Math students. It aligns with educational standard Pre-CAL.158 (Apply Sequences to Savings and Loan Contexts).