SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Example

Title: The Identity property

Grade: 6-b Lesson: S2-L4

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Find the value of x in the equation x + 0 = 18.

Step 1a

The equation is x + 0 = 18.

The additive identity property is
⇒ x + 0 = x
The value of x is 18.

Explanation: Here, we know the additive identity property. So, the equation simplifies to : x = 18.

Solve the equation 5x = 5 using the multiplicative identity property.

Step 2a

The given equation is 5x = 5.
Apply Multiplicative Identity: Multiply both sides by the multiplicative identity (1) to maintain equality.
\$1 \times 5"x" = 1 \times 5\$

Explanation: This step ensures the equation remains equivalent.

Step 2b

Simplify both sides and isolate x.
⇒ 5x = 5
⇒ x = 1

Explanation: The solution to the equation 5x = 5 using the multiplicative identity property is x = 1.