1. 2-5 (Part I) Applying the Distributive Property
Objective: Students will evaluate algebraic expressions and identify parts of an expression.
Standard: A.SSE.1 & A.SSE.2

2. Equivalent Expression
Two expressions that have the same value for all values of the variable.
Distributive Property
Used to find the product of a number and a sum or difference.
a (b + c) = ab + ac

3. The parts of an expression that are added together.
Term
The parts of an expression that are added together.
Coefficient
The number part of a term with a variable part. Ex 2x
coefficient
Constant Term
A number part with NO variable part.
Like Terms
Terms that have the same variable parts.

4. Coefficient
Constant
-4 x + 2x - 7
Terms

5. Example 1 3(x + 6)= (n + 5)n = y(y – 12) = 3x + 18 n2 + 5n y2 – 12y
Use the Distributive Property to write an equivalent expression: (remember : Multiply-Multiply)
3(x + 6)=
(n + 5)n =
y(y – 12) =
3x + 18
n2 + 5n
y2 – 12y

6. Example 2 (y - 2)(-4) = -5x(4 – x) = -(3y – 9) = -4y + 8 -20x + 5x2
Use the Distributive Property to write an equivalent expression:
(y - 2)(-4) =
-5x(4 – x) =
-(3y – 9) =
-4y + 8
-20x + 5x2
-1(3y – 9)=
-3y + 9
Question: When you distribute -1, what happens to the signs in the parentheses?
Answer: They change to their opposites.

7. Example 3
Identify the terms, like terms, coefficients and constants.
-2x – 8 + 6x + 5
Terms: -2x, -8, 6x, 5
Like Terms: -2x and 6x and – 8 and 5
Coefficients: -2 and 6
Constant Terms: -8 and 5

8. Homework
Section 2-5 (Part I)
Page 99
(1 – 27 all)

9. 2-5 Applying the Distributive Property (Part II)

10. Example 1 4x -3 + 5x - 6 Combine like terms 9x - 9
Simplify the expression
4x x - 6
Combine like terms 9x
- 9

11. Example 2 4(n + 9) – 3(2 + n) Distribute 4n + 36 – 6 – 3n
Use the Distributive Property to write an equivalent expression:
4(n + 9) – 3(2 + n)
Distribute
4n + 36
– 6 – 3n
Combine like terms n
+ 30

12. Formulas Perimeter of a Rectangle: Area of a Rectangle:
P = 2l + 2w OR add all sides
Area of a Rectangle:
A = lw

13. Example 3
Find the area and perimeter of the given rectangle: Perimeter: add all sides
3x + 5 =l
P = l + l + w + w
P = 3x x 4 =w 4 =w
3x + 5 =l
P = 6x + 18

14. Example 3
Find the area and perimeter of the given rectangle: Perimeter: 2l + 2w
P = 2l + 2w 4 =w
P = 2(3x + 5) + 2(4)
P = 6x
3x + 5 =l
P = 6x + 18

15. Example 3 – Cont. Find the area and perimeter of the given rectangle:
A = lw 4 =w
A = (3x + 5)(4)
A = 12x + 20
3x + 5 =l

16. Homework
Section 2-5 (Part II)
Page 99
28 – 41,