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Opener:   If you were assigned a problem from homework last time
          please put it up on the board.


          1.                           2.        when x = 7




          3.                           4.        when x = ‐3




                                                                   1
2
Section 2.4:   Simplifying Expressions

                    Write an expression that results from the number trick 
                    below.

                    Choose a number. Subtract 3. Double the result. Add 6. 
                    Subtract your starting number.

                    Expression: _____________

               Evaluate the expression for the following values:

                      x        ‐1        0         1        2 




               What's the pattern?




               Wouldn't it be nice if we didn't have to fill out a table to 
               decide what the pattern will be?

               Take the expression from before: 2(x ‐ 3) + 6 ‐ x

               We can simplify the expression...but we need to review a 
               property you probably learned about last year....the 
               Distributive Property. 




                                                                               3
More Simplifying:   Follow the Order of Operations!

                    Another number trick results in the expression:



                    We want to simplify this expression to see what the 
                    relationship between the starting and ending numbers is.

                    What should we do first?




                                                                               4
More Simplifying:    Sometimes there will be more than one variable in your 
                     expression. 

                     For example:     2x + 9y ‐ 7x ‐ 10y

                     We can't simplify unless the pieces are something called 
                     like terms. What are like terms? 




                    Simplify these problems.
                    1. 3(x + 2) + 5x                  2. 2z + 7z ‐ z + 5




                    3. 3a + 4b + 5a + 6               4. 4(x ‐ 1)  ‐ 3(x + 2)




                    5.                                6. 




                                                                                 5
Math Raffle!!!!   On each raffle ticket, please write your name AND ID #.

                  Do ALL of your work in your notes and put JUST your 
                  answer on the ticket.  (Only one answer per a ticket)




                                                                            6
Back to Modeling we go...

**Remember: 
Define a variable...Write the expression... Simplify the Expression...Evaluate!!!




                                                                                    7

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2.4 notes b

  • 1. Opener: If you were assigned a problem from homework last time please put it up on the board. 1.  2. when x = 7 3. 4. when x = ‐3 1
  • 2. 2
  • 3. Section 2.4: Simplifying Expressions Write an expression that results from the number trick  below. Choose a number. Subtract 3. Double the result. Add 6.  Subtract your starting number. Expression: _____________ Evaluate the expression for the following values: x  ‐1 0  1  2  What's the pattern? Wouldn't it be nice if we didn't have to fill out a table to  decide what the pattern will be? Take the expression from before: 2(x ‐ 3) + 6 ‐ x We can simplify the expression...but we need to review a  property you probably learned about last year....the  Distributive Property.  3
  • 4. More Simplifying: Follow the Order of Operations! Another number trick results in the expression: We want to simplify this expression to see what the  relationship between the starting and ending numbers is. What should we do first? 4
  • 5. More Simplifying: Sometimes there will be more than one variable in your  expression.  For example: 2x + 9y ‐ 7x ‐ 10y We can't simplify unless the pieces are something called  like terms. What are like terms?  Simplify these problems. 1. 3(x + 2) + 5x 2. 2z + 7z ‐ z + 5 3. 3a + 4b + 5a + 6 4. 4(x ‐ 1)  ‐ 3(x + 2) 5.  6.  5
  • 6. Math Raffle!!!! On each raffle ticket, please write your name AND ID #. Do ALL of your work in your notes and put JUST your  answer on the ticket.  (Only one answer per a ticket) 6