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Algebra I

      Mr. Clutter
Villegas Middle School
        Library
      2006-2007
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 & 9   n+9
• 4 more than a number      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 7   b+7
• The sum of a number & 6     n+6
• 9 more than a number        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
     5      11
    10      16
    21      27
    32      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

  • 1. Algebra I Mr. Clutter Villegas Middle School Library 2006-2007
  • 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 & 9 n+9 • 4 more than a number 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 7 b+7 • The sum of a number & 6 n+6 • 9 more than a number 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 5 11 10 16 21 27 32 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
  • 15. This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.