Applying Multiplication Properties

Applying Multiplication Properties

Keep Balanced

Opening

Keep Balanced

Look at the balance scale pictured here.

  • What number can you multiply the number on each side of the scale by but still keep the scale balanced?
  • Based on your new scale, what number can you divide both sides by to keep the scale balanced?

Solve for x

Opening

Solve for x

Look at the balance scale.

  • Write an equation that represents the balance scale.
  • Can you multiply or divide both sides of the equation by some number in order to find the value of x that makes the equation true?
  • What is the solution?
  • Substitute your solution for x in your equation to check your answer.

Math Mission

Opening

Use the multiplication property of equality to solve equations.

Solve the Equations

Work Time

Solve the Equations

Multiplication property of equality: If you multiply both sides of an algebraic equation by the same number, except zero, or divide both sides of an algebraic equation by the same number, except zero, the equations will have the same solution.

Use the multiplication property of equality to solve each equation. Check your solution by substituting the solution into the original equation.

  • 4= 24
  • 12= 7
  • 1.5= 12

Hint:

What number can you multiply or divide by to get x by itself on one side of the equation?

Prepare a Presentation

Work Time

Prepare a Presentation

Select one of the problems from Task 4.

  • Explain how you used the multiplication property of equality to solve the equation.
  • Explain how you checked your answer.

Challenge Problem

  • How could you use both the addition and multiplication properties of equality to solve the equation 3+ 8 = 15?

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ methods for solving equations using the multiplication property of equality.

Hint:

As your classmates present, ask questions such as:

  • How did you know whether to divide or multiply to solve the equation?
  • Why do you need to do the same thing on both sides of an equation?
  • What could you do if you checked your solution and found that your solution was incorrect?

Apply the Property

Work Time

Apply the Property

Solve the equations using the multiplication property of equality. Show each step of your work, and check your solutions.

  • 5 = 65
  • 29x = 7
  • 7.2 = 4x
  • x4510

The Multiplication Property of Equality

Formative Assessment

Summary of the Math: The Multiplication Property of Equality

Write a summary about the multiplication property of equality and give an example.

Hint:

Check your summary:

  • Do you define the multiplication property of equality and provide an example of how it works? (Use a simple equation such as 12=12.)
  • Do you explain how to use the multiplication property of equality to solve an equation such as 5x=19?
  • Do you explain how to use the multiplication property of equality to solve an equation such as 12x=9?
  • Do you explain how to use the multiplication property of equality to solve a proportion such as x6 = 63 ?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

Something I still don’t understand about using the multiplication property of equality to solve equations is …