Learn on PengienVision, Mathematics, Grade 7Chapter 3: Analyze and Solve Percent Problems

Lesson 6: Solve Simple Interest Problems

In this Grade 7 lesson from enVision Mathematics Chapter 3, students learn to apply the simple interest formula by using the percent equation to find interest earned, the interest rate, or the principal. The lesson covers how simple interest represents a proportional relationship between yearly interest and principal, with examples involving savings accounts and loans. Students practice solving for each variable in the relationship: interest amount equals interest rate times principal, extended over multiple years.

Section 1

Use the simple interest formula

Property

If an amount of money, PP, the principal, is invested for a period of tt years at an annual interest rate rr, the amount of interest, II, earned is

I=PrtI = Prt

where

  • II = interest
  • PP = principal
  • rr = rate
  • tt = time

Interest earned according to this formula is called simple interest.

Examples

  • To find the interest earned on 1,200 dollars at a 3% rate for 5 years, calculate I=(1200)(0.03)(5)I = (1200)(0.03)(5), which equals 180 dollars.

Section 2

Evaluating the Simple Interest Formula I = Prt

Property

The simple interest formula is I=PrtI = Prt, where II is the interest earned, PP is the principal (initial amount), rr is the annual interest rate (as a decimal), and tt is the time in years. To find the simple interest, substitute the given values for PP, rr, and tt into the formula and calculate.

Examples

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Chapter 3: Analyze and Solve Percent Problems

  1. Lesson 1

    Lesson 1: Analyze Percents of Numbers

  2. Lesson 2

    Lesson 2: Connect Percent and Proportion

  3. Lesson 3

    Lesson 3: Represent and Use the Percent Equation

  4. Lesson 4

    Lesson 4: Solve Percent Change and Percent Error Problems

  5. Lesson 5

    Lesson 5: Solve Markup and Markdown Problems

  6. Lesson 6Current

    Lesson 6: Solve Simple Interest Problems

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Use the simple interest formula

Property

If an amount of money, PP, the principal, is invested for a period of tt years at an annual interest rate rr, the amount of interest, II, earned is

I=PrtI = Prt

where

  • II = interest
  • PP = principal
  • rr = rate
  • tt = time

Interest earned according to this formula is called simple interest.

Examples

  • To find the interest earned on 1,200 dollars at a 3% rate for 5 years, calculate I=(1200)(0.03)(5)I = (1200)(0.03)(5), which equals 180 dollars.

Section 2

Evaluating the Simple Interest Formula I = Prt

Property

The simple interest formula is I=PrtI = Prt, where II is the interest earned, PP is the principal (initial amount), rr is the annual interest rate (as a decimal), and tt is the time in years. To find the simple interest, substitute the given values for PP, rr, and tt into the formula and calculate.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 3: Analyze and Solve Percent Problems

  1. Lesson 1

    Lesson 1: Analyze Percents of Numbers

  2. Lesson 2

    Lesson 2: Connect Percent and Proportion

  3. Lesson 3

    Lesson 3: Represent and Use the Percent Equation

  4. Lesson 4

    Lesson 4: Solve Percent Change and Percent Error Problems

  5. Lesson 5

    Lesson 5: Solve Markup and Markdown Problems

  6. Lesson 6Current

    Lesson 6: Solve Simple Interest Problems