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Algebra: Equality and Solutions

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Algebra: Equality and Solutions

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About this activity

Solve linear equations using equality properties.

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Srn Lbgn
Srn Lbgn
Philippines

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Algebra: Equality and Solutions
 

Algebra: Equality and SolutionsOnline version

Solve linear equations using equality properties.

by Srn Lbgn
1

Introduction to the Additional Property of Equality

Additional Property of Equality states that if two expressions are equal, performing the same operation on both preserves equality. This underpins solving linear equations.

2

Key Idea

To isolate a variable, apply the same operation to both sides of the equation, keeping the balance intact. This yields the value of the unknown.

3

Example 1

x + 10 = 12 → subtract 10 from both sides: x = 2.

4

Example 2

x – 5 = -3 → add 5 to both sides: x = 2.

5

Example 3

x + 1 = 9 → subtract 1 from both sides: x = 8.

6

Example 4

x – 1 = -7 → add 1 to both sides: x = -6.

7

Example 5

x + 3 = 14 → subtract 3: x = 11.

8

Example 6

x – 6 = -41 → add 6: x = -35.

9

Example 7

x – 12 = 20 → add 12: x = 32.

10

Example 8

x + 38 = 22 → subtract 38: x = -16.
 
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