Mathematics Grade 7 15 min

Simple Interest (In Steps)

Simple Interest (In Steps)

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1

Introduction & Learning Objectives

Learning Objectives Identify the principal, interest rate, and time in a simple interest problem. Convert a percentage interest rate into its decimal equivalent for calculations. Apply the simple interest formula $I = P \cdot r \cdot t$ to calculate the interest earned or paid. Calculate the total amount (future value) after simple interest has been applied. Solve word problems involving simple interest in various real-world scenarios. Explain the importance of simple interest in personal finance decisions. Have you ever wondered how banks pay you for saving money, or how much extra you pay when you borrow money? 💰 It's all thanks to something called interest! In this lesson, you'll learn about simple interest, a basic way to calculate the cost of borrowing money...
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Key Concepts & Vocabulary

TermDefinitionExample Principal (P)The initial amount of money borrowed or invested. It's the starting amount.If you deposit $500 into a savings account, $500 is the principal. Interest (I)The extra money earned on an investment or paid for borrowing money. It's the 'cost' of using money.If your $500 savings account earns $25, then $25 is the interest. Interest Rate (r)A percentage that tells you how much interest will be earned or charged over a specific period, usually per year. It must be converted to a decimal for calculations.A bank offers a 5% annual interest rate. In calculations, this would be 0.05. Time (t)The duration for which the money is borrowed or invested. For simple interest, time is always expressed in years.If you invest money for 3 years, then t = 3...
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Core Formulas

Simple Interest Formula $I = P \cdot r \cdot t$ Use this formula to calculate the amount of simple interest (I) earned or paid. 'P' is the principal, 'r' is the annual interest rate (as a decimal), and 't' is the time in years. Total Amount Formula $A = P + I$ Use this formula to find the total amount (A) of money after interest has been added. 'P' is the principal, and 'I' is the calculated simple interest.

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Sample Practice Questions

Challenging
Maya took out a loan for $2,500. After 4 years, she paid back a total of $3,100. What was the simple annual interest rate on her loan?
A.24%
B.6%
C.1.5%
D.5.5%
Challenging
You invest $4,000 in a bond that pays 5% simple annual interest. You want to leave the money invested until the total amount in the account is $5,000. How many years must you wait?
A.4 years
B.10 years
C.5 years
D.25 years
Challenging
How much principal (P) would you need to invest at a 4% simple annual interest rate to earn exactly $300 in interest over 5 years?
A.$7,500
B.$60
C.$3,000
D.$1,500

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