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Solving Equations ,[object Object]
Moving Terms to    Solve Equations. By Mrs. Blakely And Blakely’s Best Algebra 1a class
Terms ,[object Object]
Avariable is a symbol, usually a letter, that represents one or more numbers.,[object Object]
 These ideas are given in mathematical 	expressions or equations using terms.6a2 - 5ab + 3b - 12
EnglishMath  	English uses 	WORDS to 	form  SENTENCES.     Thedogrunsfast.  	Math uses 	TERMS to 	form    EXPRESSIONS. 6a2 - 5ab + 3b - 12 6a2 ___ runs   The dog fast. 3b 5ab 12  -          +        - WORDS are separated with SPACES to form SENTENCES. TERMS are separated with ADDITIONorSUBTRACTION to form EXPRESSIONS.
Terms - Coefficients -Constants ,[object Object]
 Acoefficientis a numerical factor of a term.
 Aconstantis a term that has no variable.6a2  -  5ab  +  3b  -  12 6  5 12   3 TERMS Coefficients Constants
Solving Equations An equation is a mathematical sentence that uses an equal sign. If the equation is true, then the two expressions on either side of the equal sign represent the same value. 1+ x = 72 = 2x2 + y =67 50 + 2 = 49 + 3y = 2x - 5
Equations ,[object Object]
Their appearance may change…..but their valuemust never change and must always be equal.,[object Object]
Solving One-Step Equationswith Addition & Subtraction ,[object Object]
Therefore, to un-create the term, un-do    the addition or subtraction.
But remember to keep it balanced.1+ x = 715 = 7+ y r - 7 = 49 x + 9 = 2x – 5
Solving One-Step Equationswith Addition & Subtraction 2 terms 1 term 1+ x = 7 ,[object Object]
It becomes a balancing act with your terms to solve for the variable.,[object Object]
Solving One-Step Equations “The Balancing Act” 2 terms 1 term + 1 + x = 7 = We must movethis term to the other side of the equation. The term was “created” by adding a positive 1 and we must “un-create” it.

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Moving Terms

  • 1.
  • 2. Moving Terms to Solve Equations. By Mrs. Blakely And Blakely’s Best Algebra 1a class
  • 3.
  • 4.
  • 5. These ideas are given in mathematical expressions or equations using terms.6a2 - 5ab + 3b - 12
  • 6. EnglishMath English uses WORDS to form SENTENCES. Thedogrunsfast. Math uses TERMS to form EXPRESSIONS. 6a2 - 5ab + 3b - 12 6a2 ___ runs The dog fast. 3b 5ab 12 - + - WORDS are separated with SPACES to form SENTENCES. TERMS are separated with ADDITIONorSUBTRACTION to form EXPRESSIONS.
  • 7.
  • 8. Acoefficientis a numerical factor of a term.
  • 9. Aconstantis a term that has no variable.6a2 - 5ab + 3b - 12 6 5 12 3 TERMS Coefficients Constants
  • 10. Solving Equations An equation is a mathematical sentence that uses an equal sign. If the equation is true, then the two expressions on either side of the equal sign represent the same value. 1+ x = 72 = 2x2 + y =67 50 + 2 = 49 + 3y = 2x - 5
  • 11.
  • 12.
  • 13.
  • 14. Therefore, to un-create the term, un-do the addition or subtraction.
  • 15. But remember to keep it balanced.1+ x = 715 = 7+ y r - 7 = 49 x + 9 = 2x – 5
  • 16.
  • 17.
  • 18. Solving One-Step Equations “The Balancing Act” 2 terms 1 term + 1 + x = 7 = We must movethis term to the other side of the equation. The term was “created” by adding a positive 1 and we must “un-create” it.
  • 19. Solving One-Step Equationswith Addition & Subtraction 2 terms 1 term 1 + x = 7 1 - 1 + x = 7 - 1 = We must add to both sides to “balance our scale.” makes it unbalanced. adding to only one side, BUT….. x = 6 When we simplify, the result is:
  • 20. Solving One-Step Equationswith Addition & Subtraction x – 8 = 15
  • 21. + 8 x - 8 = 15 =15 Solving One-Step Equationswith Addition & Subtraction + 8 x - 8 simplify x = 23 17 = 12 + x = 12 + x + 17 - 12 - 12 simplify x = 5
  • 22. To Solve for a Variable Remember
  • 23. Subtract terms SIMPLIFY Move the term Move the term MOVE IT! Add terms MOVE IT! You Have toMove the Terms - -SUBTRACT- - ADD+ + + SIMPLIFY SUBTRACT - - + +ADD+ + ADD + + MOVE IT! Subtract terms Add terms
  • 24.
  • 25. Images provided by www.hotbar.com & Microsoft clip art