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Example1

Title: The Associative Property

Grade 6+ Lesson s2-l1

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

Examples

Topics → Definition Example1 Example2

Use the Associative Property of Addition to find the value of the variable

\$ 10 + (z + 1) = (10 + 7) + 1 \$.

Step 1

Given Equation:

\$ 10 + (z + 1) = (10 + 7) + 1 \$

Apply the Associative Property of Addition to the terms inside the parentheses.

10 + z + 1 = 10 + 7 + 1

Explanation:

Here, we rewrote and applied the associative property of addition.

Step 2

Combine like terms on both sides of the equation.

z + 11 = 18 + 1
Simplify the expression on the right side.

z + 11 = 19

To isolate the variable x, subtract 11 from both sides of the equation.

z + 11 - 11 = 19 - 11

⇒ z = 8

Explanation:

Here, after simplifying the expression then we get z = 8.