Apply Properties of Linear Expressions

Sec 3.2

Adding and Subtracting Linear Expressions

Distributive Property and Subtraction

Horizontal method: Use
properties of operations
to group like terms and
simplify.

-Use the distributive
property.

-Use the commutative
property

Adding Linear
Expressions

Find the sum:

Write this
in your
notebook.

Multiple Choice

Find the sum:
2(x + 3) + 3(3x - 2)

• 11x

• 11x - 12

• 11x + 12

• 0

Subtracting Linear Expressions

Find the difference.

Vertical method: Align like terms vertically and subtract.

Horizontal method: Use properties of operations to group like terms and simplify.

Subtracting Linear Expressions

Find the difference.

Vertical method: Align like terms vertically and subtract.

Horizontal method: Use properties of operations to group like terms and simplify.

Multiple Choice

Find the difference.

$$(5x-6)-(x+2)$$

• 4x - 8

• 4x - 4

• 4x + 4

Multiple Choice

Find the difference:  $$(x-3)-2(0.5x-2)$$

• -1

• 2x - 1 

• 2x + 1

• 1