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Grade 8 · Math

8th grade Loans: how the rate and the length change the total cost worksheet

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Loans: how the rate and the length change the total cost

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Mr. Lane's pretend used car loan has two compound-interest payment plans: A is 36 payments of $310; B is 60 payments of $205. How much more does Esme find Plan B costs in all?

  2. Ms. Reyes's pretend couch loan has two compound-interest payment plans: A is 12 payments of $96; B is 24 payments of $51. How much more does Jun find Plan B costs in all?

  3. Mr. Grove's pretend truck loan has two compound-interest payment plans: A is 48 payments of $420; B is 72 payments of $300. How much more does Kira find Plan B costs in all?

  4. Mr. Cole's pretend credit card statement shows $850 owed, with 1.5% compound interest a month. With no payments or new charges, what does Milo find is owed after 2 months, to the nearest cent?

  5. Ms. Frost's pretend credit card statement shows $940 owed, with 1.8% compound interest a month. With no payments or new charges, what does Noah find is owed after 2 months, to the nearest cent?

  6. Mr. Dunn's pretend short-term loan is $400, with a simple fee of $14 per $100 borrowed every two weeks. It is renewed for 3 two-week periods. What fees does Pia find in all?

  7. Ms. Hale's pretend short-term loan is $300, with a simple fee of $18 per $100 borrowed every two weeks. It is renewed for 4 two-week periods. What fees does Ren find in all?

  8. Mr. Grove's pretend short-term loan is $500, with a simple fee of $12 per $100 borrowed every two weeks. It is renewed for 2 two-week periods. What fees does Tala find in all?

  9. Ms. Reyes borrowed $4,000 at simple interest and repaid $4,600 in all after 3 years. What yearly interest rate, as a percent, does Zee find?

  10. Mr. Lane borrowed $2,500 at simple interest and repaid $3,100 in all after 4 years. What yearly interest rate, as a percent, does Ari find?

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8th grade Loans: how the rate and the length change the total cost worksheet – printable
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About this worksheet

Loans: how the rate and the length change the total cost. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the total repaid and the cost of a loan from a payment table.
  • I can show how a longer loan or a higher rate makes a loan cost more, and pick the loan that costs less.
  • I can find the balance on a credit card at compound interest, and the fees on a short-term loan.

Standard: state-only

Words to know

loan: Money borrowed now and paid back later, with interest or fees.

cost of the loan: Everything repaid minus the amount borrowed.

simple interest: Interest on the amount borrowed only, the same every year.

compound interest: Interest on the new balance each time, so interest earns interest.

short-term loan: A small loan for two weeks, with a fee for each $100.

Common mistakes

Your child added the payment and the number of payments. Equal payments are multiplied: 24 payments of $275 is 24 × $275.

Your child gave only the interest. The total repaid (or the balance) also includes the amount borrowed.

Your child gave everything repaid when the question asked only for the extra cost (the interest or the fees).

Questions parents ask

What is the most common mistake with loans: how the rate and the length change the total cost?

Your child added the payment and the number of payments. Equal payments are multiplied: 24 payments of $275 is 24 × $275.

Are these 8th 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.

More grade 8 math

See all grade 8 math

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