Learn on PengiBig Ideas Math, Advanced 1Chapter 15: Percents

Lesson 7: Simple Interest

In this Grade 6 lesson from Big Ideas Math Advanced 1, Chapter 15: Percents, students learn how to apply the simple interest formula I = Prt to calculate interest earned on savings accounts and interest owed on loans. They practice solving for all variables in the formula, including finding the principal, annual interest rate, and time in years. Real-world contexts such as credit card debt and the national debt reinforce how simple interest works in everyday financial situations.

Section 1

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

Section 2

Solving for Unknown Variables in Simple Interest Problems

Property

Solve simple interest word problems by setting up and solving equations using the formula I=PrtI = Prt, where II is interest, PP is principal, rr is rate, and tt is time.
To find an unknown variable, substitute the known values into the formula and solve the resulting equation.

Examples

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Chapter 15: Percents

  1. Lesson 1

    Lesson 1: Percents and Decimals

  2. Lesson 2

    Lesson 2: Comparing and Ordering Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: The Percent Proportion

  4. Lesson 4

    Lesson 4: The Percent Equation

  5. Lesson 5

    Lesson 5: Percents of Increase and Decrease

  6. Lesson 6

    Lesson 6: Discounts and Markups

  7. Lesson 7Current

    Lesson 7: Simple Interest

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

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

Section 2

Solving for Unknown Variables in Simple Interest Problems

Property

Solve simple interest word problems by setting up and solving equations using the formula I=PrtI = Prt, where II is interest, PP is principal, rr is rate, and tt is time.
To find an unknown variable, substitute the known values into the formula and solve the resulting equation.

Examples

Book overview

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

Continue this chapter

Chapter 15: Percents

  1. Lesson 1

    Lesson 1: Percents and Decimals

  2. Lesson 2

    Lesson 2: Comparing and Ordering Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: The Percent Proportion

  4. Lesson 4

    Lesson 4: The Percent Equation

  5. Lesson 5

    Lesson 5: Percents of Increase and Decrease

  6. Lesson 6

    Lesson 6: Discounts and Markups

  7. Lesson 7Current

    Lesson 7: Simple Interest