It’s All About Properties of Equality

How could properties of equality be applied to solve this equation?

Example 1:3x + 11 = 32

What is the value of x?How could you check your answer?

In what order should they be applied?

How could properties of equality be applied to solve this equation?

Example 2:

2(6 + a) = 22

What is the value of a?How could you check your answer?

In what order should they be applied?

How could properties of equality be applied to solve this equation?

Example 3:

3x - 3 = 18/6

What is the value of x?How could you check your answer?

In what order should they be applied?

How could properties of equality be applied to solve this equation?

Example 4:

x/5 + 12 = 27

What is the value of x?How could you check your answer?

In what order should they be applied?

YOU TRY43.26 = 6.25 + 2.5f -

12.99How could properties of equality be applied to solve this equation?

What is the value of f?How could you check your answer?

In what order should they be applied?

YOU TRY8 + 2b/4 = 15

How could properties of equality be applied to solve this equation?

What is the value of b?How could you check your answer?

In what order should they be applied?

YOU TRY 9x = 6.15 – 3.27

How could properties of equality be applied to solve this equation?

What is the value of x?How could you check your answer?

In what order should they be applied?

YOU TRY9 = (y/3) + 6

How could properties of equality be applied to solve this equation?

What is the value of y?How could you check your answer?

In what order should they be applied?

Consider this:

Adam solved the following equation:

n – 2+5 = 7Adam concluded that n = 0

Is Adam correct or incorrect? Why? Prove your answer by demonstrating how you would solve the problem.

Discussion:How do properties of equality help you solve equations?