Solving Linear Equations and Properties

To add like terms

To change the order of operations

To solve quadratic equations

To simplify expressions by removing parentheses

Subtraction Property

Commutative Property

Associative Property

Distributive Property

2x + 1x

x + 2

2x + 2

2x + 1

Divide both sides by 5

Subtract 2 from both sides

Add 10 to both sides

Distribute 5 across (x + 2)

5x + 2 = 27

5x + 10 = 27

5x + 2 = 17

5x + 10 = 17

x = 5

x = 3.4

x = 17/5

x = 7

Add 2 to both sides

Multiply both sides by -7/3

Distribute -3/7 across (x - 2)

Subtract 6/7 from both sides

3/7

-7/3

7/3

-3/7

x = 18

x = 42

x = 44

x = 132/3

Equations can only be solved using the subtraction property

The distributive property is essential for removing parentheses

Linear equations cannot be solved without a calculator

The associative property is used to solve all equations