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Grade 9 · Math · Algebra 1

9th grade Compound interest with a formula worksheet

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Compound interest with a formula

Grade 9 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. $2,000 sits in Ms. Shaw's pretend account at 6% a year for 3 years. Noah rounds each balance to the nearest cent. How much more does monthly compounding give than yearly?

  2. $5,000 sits in Mr. Lane's pretend account at 4% a year for 5 years. Pia rounds each balance to the nearest cent. How much more does quarterly compounding give than yearly?

  3. $1,000 sits in the class's pretend account at 5% a year for 10 years. Ren rounds each balance to the nearest cent. How much more does monthly compounding give than yearly?

  4. $3,000 sits in Ms. Frost's pretend account at 2% a year for 6 years. Tala rounds each balance to the nearest cent. How much more does monthly compounding give than yearly?

  5. After 2 years at 4% a year, compounded quarterly, Mr. Grove's pretend account holds $1,082.86. Zee works backward. To the nearest dollar, what was the deposit?

  6. After 3 years at 6% a year, compounded monthly, Ms. Hale's pretend account holds $598.34. Ari works backward. To the nearest dollar, what was the deposit?

  7. After 4 years at 5% a year, compounded twice a year, Mr. Dunn's pretend account holds $3,046.01. Bo works backward. To the nearest dollar, what was the deposit?

  8. After 5 years at 3% a year, compounded monthly, Ms. Wells's pretend account holds $929.29. Esme works backward. To the nearest dollar, what was the deposit?

  9. Ms. Hale compares two pretend accounts, each starting with $1,000 for 10 years. A: 5% compounded yearly. B: 4.9% compounded monthly. Jun checks. Which ends with more?

    • Account A
    • They end the same
    • Account B
  10. Ms. Shaw compares two pretend accounts, each starting with $1,000 for 10 years. A: 6% compounded yearly. B: 5.85% compounded quarterly. Luz checks. Which ends with more?

    • Account A
    • They end the same
    • Account B
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9th grade Compound interest with a formula worksheet – printable
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About this worksheet

Compound interest with a formula. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find r/n and nt for an account and use A = P(1 + r/n)^(nt).
  • I can tell the balance from the interest, and find either one to the nearest cent.
  • I can compare compounding monthly, quarterly and yearly, and work back to the deposit.

Standard: A-SSE.A.1b, F-LE.A.1c

Words to know

compound interest: Interest that also earns interest, because it is added to the balance.

compounded quarterly / monthly: Interest is added 4 times a year / 12 times a year.

P, r, n, t: Deposit, yearly rate as a decimal, times per year, number of years.

r/n: The rate for one period: the yearly rate shared among the periods.

nt: The number of periods: times per year × years.

balance: Everything in the account: the deposit plus the interest.

Common mistakes

Your child used the whole yearly rate for each period instead of sharing it among the periods.

Your child used the percent as a whole number (6 instead of 0.06) in the formula.

Your child multiplied the yearly rate by the number of periods instead of dividing.

What to say

Ask: if interest is added 12 times a year, what part of the yearly rate is added each time?

Ask: what is 6% as a decimal?

Ask: should each period get more or less than the whole yearly rate?

Questions parents ask

What is the most common mistake with compound interest with a formula?

Your child used the whole yearly rate for each period instead of sharing it among the periods.

How can I help my child with compound interest with a formula?

Ask: if interest is added 12 times a year, what part of the yearly rate is added each time?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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