The Distributive Property Section 4.1 Simplifying Expressions 3(4+x)+ x Like terms 1

3x + 8x + 2 C___________ ________ L_____ terms _________ C_______ term ________ Combine like terms.

6a + 2a + 3x + x +5 Simplify the expression by combining like terms. Simplify Expression From the above( )expressions: Let a= 2 and x= 3.

-3x + 6x – 5y – 2x Simplify the expression by combining like terms. Simplify Expression From the above( )expressions: Let x= 1 and y= 2.

Julia Catelyn 3 (x + 2) = 3x + 2 3(x + 2) = 3x + 6 H.O.T. Problem Error Analysis: Julia and Catelyn are using the Distributive Property to simplify 3(x + 2). Is either of them correct? Explain your reasoning. Julia Catelyn 3 (x + 2) = 3x + 2 3(x + 2) = 3x + 6

Word Problem Admission to Hershey park Theme Park in Hershey, Pennsylvania, is $52.95 for an adult and $31.95 for children. The Diego family has a coupon for $10 off each admission ticket. Write an expression to fin the cost for x adults and y children. Use the Distributive Property.

10(3 + 4 + y) From the above( )expressions: Let y = 5. Use the Distributive Property to simplify the expression. 10(3 + 4 + y) Apply Dist. Property Simplify Expression From the above( )expressions: Let y = 5.

3(4+x)+ x From the above( )expressions: Let x = 3. Use the Distributive Property to simplify the expression. 3(4+x)+ x Apply Dist. Property Simplify Expression From the above( )expressions: Let x = 3.

9(x - 3) From the above( )expressions: Let x = 3. Use the Distributive Property to simplify the expression. 9(x - 3) Apply Dist. Property From the above( )expressions: Let x = 3.

Use the Distributive Property to simplify the expression. 6(2x - 5)+ 4x Apply Dist. Property Simplify Expression Copy the 1st and 3rd expressions from above onto the next slide.

For the above( )expressions: Let x = 2. Use the Distributive Property to simplify the expression. For the above( )expressions: Let x = 2.

Write and simplify an expression for the area of the rectangle. 2 3 4 Complete and evaluate these expressions. 2(3+ ) 2( ) + 2( ) Apply Dist. Property 2( ) 6 + Simplify Expression = =

Write and simplify an expression for the perimeter of the rectangle. Substitute 6 in for x, what is the perimeter? Expression Apply Dist. Property Simplify Expression

Use the Distributive Property to simplify the expression. 3x + 6(x - 5)+ 4(x+4)