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11 – 28 Journal
Evaluate the expression when x = 5

1) 3x


2)   4+x

3)   2x + 1
Where we were…
 Variables and expressions
   Variables – a letter that represents a number
        Example: x + 5; x is the variable


 Evaluating Expressions
   Evaluate when x = 2
        Example: x + 4
        Example: x + x
Where we are…
 Students will learn to…



 Solve basic equations using transformations.



 We will start off with the basics and move to more
 difficult ones as we go.
Getting to Zero…
 How would you get the following numbers back to
     zero??? (Hint: Use the number to help)



1) 4
2) 7
3) - 3
4)     -5
5)     -20
Getting to Zero…
 How would you get the following numbers back to
     zero???



1) 4: Subtract four (- 4)     (Think 4 minus 4)
2) 7: Subtract seven (- 7)    (7 minus 7)
3) - 3: Add 3 (+3)            (-3 plus 3)
4)     -5: Add 5 (+5)         (-5 plus 5)
5)     -20: Add 20 (+20)      (-20 plus 20)
Solving equations…
 Transformations – Operations you must do to BOTH
  sides of an equation… (on each side of the equal sign)
                        Think of this as a positive 5. How
                        can I get a positive 5 back to zero?

 x + 5 = 10
 x + 5 = 10                          Since you subtracted 5 from one side you must
                                   subtract 5 from the other to keep it balanced.. (Think
                                                       teeter-totter.)
 x +5 - 5 = 10 -5
 x=5
               +5 - 5 = 0, leaving just x
                     10 – 5 = 5, so…
                          x=5
Remember… SHOW ALL YOUR
STEPS!!!!
 x – 10 = 20 (How can I get negative 10 to zero?)


 x – 10 + 10 = 20 + 10


 So what is 20 + 10?


 x = 30


 I like to cross out the parts that equal zero
Number off from 1 -10
 The number you are is the number you need to answer.
1)    x + 6 = 10
2)    x – 5 = 15
3)    x + 8 = 19
4)    x – 4 = 30
5)    n + 4 = 17
6)    n – 10 = 25
7)    n + 7 = 19
8)    n – 12 = 21
9)    n + 11 = 20
10)   x – 3 = 15
Randomly choose 5 numbers
 Those 5 people will come to the board, show their
 work and explain their thinking….
Ticket out the Door
1) A ____________ is a letter that represents a number.



2)   If I add 5 to one side of the equal sign, what should I
     do to the other side? ______________



3) Solve: x + 12 = 22

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11 – 28 journal

  • 1. 11 – 28 Journal Evaluate the expression when x = 5 1) 3x 2) 4+x 3) 2x + 1
  • 2. Where we were…  Variables and expressions  Variables – a letter that represents a number  Example: x + 5; x is the variable  Evaluating Expressions  Evaluate when x = 2  Example: x + 4  Example: x + x
  • 3. Where we are…  Students will learn to…  Solve basic equations using transformations.  We will start off with the basics and move to more difficult ones as we go.
  • 4. Getting to Zero…  How would you get the following numbers back to zero??? (Hint: Use the number to help) 1) 4 2) 7 3) - 3 4) -5 5) -20
  • 5. Getting to Zero…  How would you get the following numbers back to zero??? 1) 4: Subtract four (- 4) (Think 4 minus 4) 2) 7: Subtract seven (- 7) (7 minus 7) 3) - 3: Add 3 (+3) (-3 plus 3) 4) -5: Add 5 (+5) (-5 plus 5) 5) -20: Add 20 (+20) (-20 plus 20)
  • 6. Solving equations…  Transformations – Operations you must do to BOTH sides of an equation… (on each side of the equal sign) Think of this as a positive 5. How can I get a positive 5 back to zero?  x + 5 = 10  x + 5 = 10 Since you subtracted 5 from one side you must subtract 5 from the other to keep it balanced.. (Think teeter-totter.)  x +5 - 5 = 10 -5  x=5 +5 - 5 = 0, leaving just x 10 – 5 = 5, so… x=5
  • 7. Remember… SHOW ALL YOUR STEPS!!!!  x – 10 = 20 (How can I get negative 10 to zero?)  x – 10 + 10 = 20 + 10  So what is 20 + 10?  x = 30  I like to cross out the parts that equal zero
  • 8. Number off from 1 -10  The number you are is the number you need to answer. 1) x + 6 = 10 2) x – 5 = 15 3) x + 8 = 19 4) x – 4 = 30 5) n + 4 = 17 6) n – 10 = 25 7) n + 7 = 19 8) n – 12 = 21 9) n + 11 = 20 10) x – 3 = 15
  • 9. Randomly choose 5 numbers  Those 5 people will come to the board, show their work and explain their thinking….
  • 10. Ticket out the Door 1) A ____________ is a letter that represents a number. 2) If I add 5 to one side of the equal sign, what should I do to the other side? ______________ 3) Solve: x + 12 = 22