MJ2A Ch 3.4 – Solving Equations by Multiplying or Dividing.

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Presentation transcript:

MJ2A Ch 3.4 – Solving Equations by Multiplying or Dividing

Bellwork Solve 1.-8 = x – 6 2.y – 3 = -1 3.k – 25 = = y + 20

Assignment Review None – No Homework

Before we begin… Please take out your notebook and get ready to work… Ok…so we have figured out how to solve algebraic equations using addition and subtraction Today we will look at solving equations using multiplication and division

Objective Students will solve equations using the multiplicative and division properties of equality…

Quick Review The addition property of equality states…? The subtraction property of equality states…? Raise your hand if you can predict what the multiplication property of equality states…. How about the division property of equality…?

Multiplication Property of Equality The multiplication property of equality states that When you multiply each side of an equation by the same number the two sides remain equal Example 8 = 8 (-2)8 = 8(-2) -16 = -16 Note: It does not matter what number you multiply each side by the end result is that both sides will be equal!

Example k = 9 3 (3) k = 9(3) 3 k = 27 In this instance you begin working on the left because that is where the variable is… Multiply both sides by 3 to get rid of the denominator of 3 Which leaves you with the answer of k = 27

Your Turn In the notes section of your notebook write and solve the following: 1.y = = n 6 3.y =

Division Property of Equality Like the other properties…the division property of equality states When you divide each side of an equation by the same number both sides will remain the same Example: 3x = x = -4 Again, it does not matter what number you divide each side by, both sides will remain equal

Example 8a = 48 Divide both sides by 88a = 48 The 8’s on the left cancel out 8 8 Leaving the isolated variable a = 6

Your Turn In the notes section of your notebook write an solve the following: 1.4x = z = = -7t

Summary In the notes section of your notebook summarize the key concepts covered in today’s lesson Today we discussed The division property of equality The multiplicative property of equality

Assignment Text p. 118 # 11 – 34 Reminder: This assignment is due tomorrow I do not accept answers only You must work the problems like I showed you in class. When you do so you demonstrate that you understand the process!