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

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

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

4. -3x + 6x – 5y – 2x Simplify the expression by combining like terms.
Simplify Expression
From the above( )expressions: Let x= 1 and y= 2.

5. 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

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.

7. 10(3 + 4 + y) From the above( )expressions: Let y = 5.
Use the Distributive Property to simplify the expression.
10( y)
Apply Dist. Property
Simplify Expression
From the above( )expressions: Let y = 5.

8. 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. 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.

10. 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.

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

12. 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 = =

13. 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

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