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Algebra I
Definitions

    Variable – A variable is a letter
    or symbol that represents a
    number (unknown quantity).


    8 + n = 12
Definitions

  A variable can use any letter of
  the alphabet.

  n+5

  x–7

  w - 25
Definitions

    Algebraic expression – a group of
    numbers, symbols, and variables
    that express an operation or a
    series of operations.

  m+8

  r–3
Definitions

    Evaluate an algebraic expression –
    To find the value of an algebraic
    expression by substituting
    numbers for variables.

  m+8        m = 2 2 + 8 = 10

  r–3      r=5 5–3=2
Definitions

  Simplify – Combine like terms
  and complete all operations
             m=2

  m+8+m        2m+8

  (2 x 2) + 8 4 + 8 = 12
Words That Lead to Addition

  Sum

  More than

  Increased

  Plus

  Altogether
Words That Lead to
       Subtraction

  Decreased

  Less

  Difference

  Minus

  How many more
Write Algebraic Expressions
       for These Word Phrases


  Ten more than a number        n + 10

  A number decrease by 5        w-5

  6 less than a number          x-6

  A number increased by 8       n+8

  The sum of a number &         n+9
  9                             y+4
Write Algebraic Expressions
        for These Word Phrases


  A number s plus 2              s+2

  A number decrease by 1         k-1

  31 less than a number          x - 31

  A number b increased by        b+7
  7                              n+6

  The sum of a number & 6        z+9
Evaluate each algebraic expression when
                 x = 10

        
          x+8              18
        
          x + 49           59
        
          x+x              20
        
          x-x               0
        
          x-7               3
        
          42 - x           32
Complete This Table


   n        n-3
   5         2
  10         7
  21        18
  32        29
Complete This Table


   x        x+6
             11
             16
             27
  21         38
Write an Algebraic Expression for These
                    Situations


    Scott’s brother is 2 years younger than
    Scott
                       s-2

    The sum of two numbers is 12
                       v + c = 12

    The difference between two numbers is 5
                       m–n=5

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Algebra i

  • 2. Definitions  Variable – A variable is a letter or symbol that represents a number (unknown quantity).  8 + n = 12
  • 3. Definitions  A variable can use any letter of the alphabet.  n+5  x–7  w - 25
  • 4. Definitions  Algebraic expression – a group of numbers, symbols, and variables that express an operation or a series of operations.  m+8  r–3
  • 5. Definitions  Evaluate an algebraic expression – To find the value of an algebraic expression by substituting numbers for variables.  m+8 m = 2 2 + 8 = 10  r–3 r=5 5–3=2
  • 6. Definitions  Simplify – Combine like terms and complete all operations m=2  m+8+m 2m+8  (2 x 2) + 8 4 + 8 = 12
  • 7. Words That Lead to Addition  Sum  More than  Increased  Plus  Altogether
  • 8. Words That Lead to Subtraction  Decreased  Less  Difference  Minus  How many more
  • 9. Write Algebraic Expressions for These Word Phrases  Ten more than a number n + 10  A number decrease by 5 w-5  6 less than a number x-6  A number increased by 8 n+8  The sum of a number & n+9 9 y+4
  • 10. Write Algebraic Expressions for These Word Phrases  A number s plus 2 s+2  A number decrease by 1 k-1  31 less than a number x - 31  A number b increased by b+7 7 n+6  The sum of a number & 6 z+9
  • 11. Evaluate each algebraic expression when x = 10  x+8 18  x + 49 59  x+x 20  x-x 0  x-7 3  42 - x 32
  • 12. Complete This Table n n-3 5 2 10 7 21 18 32 29
  • 13. Complete This Table x x+6 11 16 27 21 38
  • 14. Write an Algebraic Expression for These Situations  Scott’s brother is 2 years younger than Scott s-2  The sum of two numbers is 12 v + c = 12  The difference between two numbers is 5 m–n=5