How can two different equations have the same

solution??

x+7= 25 has the same solution as the  equation x + 14 = 32

In this lesson you will learn that properties of equality

apply to equations containing unknown values by making

connections to real numbers

Let’s Review

9 = 9

9 – 6 = 9– 6

3 = 3

Let’s Review

5 = 5

5 + 7 = 5 + 7

12 = 12

Let’s Review

What does “solution” mean in math?

x-2=02 is a solution

A Common Mistake

Forgetting properties of equality apply to algebraic expressions

Core Lesson

x+5 = 10 and x+15 = 20

x+5 + 10 = 10 + 10

x+15 = 20

Core Lesson

x + 7 = 14 and x – 2 = 5

x + 7 - 9 = 14- 9

x – 2 = 5

In this lesson you have learned how to tell if equations have

the same solution by using the principles of equality

Guided Practice

Do the pairs of algebraic expressions have the same solution?

x = 7 and x + 8 = 15

x + 4 = 6 and x + 2 = 8

Extension Activities

How would you know that two expressions do not have the same solution? Show your work and provide an example

Extension Activities

Using the mathematical definition of solution, what is the solution for x + 2 = 5? Is it the same solution as x + 6 = 9? Show your work.

Extension Activities

Describe the steps you would take to determine if X + 7 =14 and x -3= 4 have the same solution. Complete the problem and show your work.

Quick Quiz

Do x + 7 = 4 and x + 10 = 7 have the same solution?

Do x + 9 = 20 and x + 1 = 12 have the same solution?