Solving Multiplication and Division Equations

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Presentation transcript:

Solving Multiplication and Division Equations Lesson 17 Introductory Algebra Solving Multiplication and Division Equations

Warm-Up Solve each equation. Show all work and check your solution. x + 84 = 233

Solving Multiplication and Division Equations Target: Solve equations involving multiplication or division.

The Multiplication Property of Equality For any numbers a, b and c: If a = b, then a · c = b · c

The Division Property of Equality For any numbers a, b and c: If a = b, then

Example 1ab Solve each equation. Show your work and check your solution.

Example 1cd Solve each equation. Show your work and check your solution. 11p = 99 11 11 p = 9 11(9) = 99 12x = 60 12 12 x = 5 12(5) = 60

Example 2 Peter is four times older than his son, Matthew. Peter is 52 years old. Write a multiplication equation and solve the equation to determine Matthew’s age. Equation: 4m = 52 4 4 m = 13 Matthew is 13 years old.

Exit Problems Solve each equation. Show all work and check your solution. 9x = 81 7 = 1.5y = 6 Ethan is 4 times older than Juan. Ethan is 44 years old. Let j represent Juan’s age. Write and solve a multiplication equation to determine Juan’s age.

Communication Prompt You have learned how to solve four types of equations in this Block (addition, subtraction, multiplication and division). Explain how you are able to tell which operation to use to solve an equation.