1. Lesson 5 Simplifying Algebraic Expressions
Unit 3A Expressions
Lesson 5
Simplifying Algebraic Expressions

2. Lesson 5: Simplify Algebraic Expressions
Objective: Swbat simplify algebraic expressions.
Do Now:
Name the property.
a. 5(7 + 2) = 5(7) + 5(2)
b x + 10 = x
c (10 + 2) = (8 + 10) + 2
d. x ∙ 1 = x
2. Distribute (6 + 7)x
3. Distribute and Evaluate 7(4 + 2)
4. Simplify (v + 6)3
5. Simplify 2(x + 10)

3. Lesson 5: Simplifying Algebraic Expressions
Definitions Constant - a term without a variable. Like Terms – contain the same variables to the same powers. Simplest Form – an algebraic expression that has no like terms or parentheses.

4. Lesson 5: Simplifying Algebraic Expressions
Example 1: 6n – 7n n + 9 Like terms: 6n, -7n, 3n (add the coefficients) → 2n Constant: -4, 9 (add constants) → 5 Simplest Form: 2n + 5

5. Lesson 5: Simplifying Algebraic Expressions
Example 2: 4x – x x - 5 Like Terms: 4x, -x, 2x → 5x Constants: 2, → -3 Simplest Form: 5x -3 Example 3: 9y – 4 -11y + 7 Like Terms: 9y, -11y → -2y Constants: -4, → 3 Simplest Form: -2y + 3

6. Lesson 5: Simplifying Algebraic Expressions
Try It! 4. 3x – 8x Like Terms: Constants: Simplest Form: 5. 5n n n

7. Lesson 5: Simplifying Algebraic Expressions
Simplify Algebraic Expressions with Parentheses. 6. 3(x + 2) x Use Distributive Property : 3x + 6 – 5 + 2x Like Terms: Constants: Simplest Form: 7. 5n -4(2n + 1) - 3 Use Distributive Property: 5n -8n – 4 -3

8. Lesson 5: Simplifying Algebraic Expressions
Simplify: 1.) 7x – 2 - 7x + 6 = 2.) 6 – 3n + 5n = 3.) 2(g – 3) + 11 – 8g 4.) 3(x + 4) + 2x =

9. Lesson 5: Simplifying Algebraic Expressions
Real-World Example
The cost of a jacket, j, after a 5% markup can be represented by the expression j + .05j.
Simplify the expression.
b. Determine the cost of the jacket after the markup, if the original price is $35.

10. Lesson 5: Simplifying Algebraic Expressions
Real-World Example
At a concert, you buy t-shirts for $12 each and the same number of CDs for $7.50 each.
Write an expression that represents the total
amount spent.
b. Simplify the expression.
c. Find the total amount.

11. Classwork Guided Practice #1 – 5 Independent Practice #1 – 11
Problem Solving #1 - 6

12. Closure Question: What do you do when simplifying a variable term?
Exit Ticket
Homework: Practice #1 -16

13. Exit Ticket
Simplify.
5n n – 2
2(x – 1) + 4x + 3

14. Homework