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Algebra Review: Solving Equations with Inverse Operations - August 23rd, 2012

Understanding algebraic equation solutions using inverse operations. Learn to balance equations & solve one-step, two-step, multi-step, variable on both sides, complex equations. Practice includes using reciprocals & solving ratios. Answers provided.

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Algebra Review: Solving Equations with Inverse Operations - August 23rd, 2012

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  1. Algebra Review“Solving Equations” August 23rd 2012

  2. Inverse Operations… • To solve algebraic equations, we use inverse operations. To get the variable by itself, we do the opposite. • Ex: subtraction gets rid of addition multiplication gets rid of division Balancing the Equation… • Whatever you do to one side, you must do to the other

  3. One-Step Equations 3x = 12 x – 5 = 2

  4. Two-Step Equations 2x – 1 = 11 5 – 3x = 20

  5. Multi-Step Equations 4( x – 1 ) = 20 2 ( 3x + 2 ) + 5 = 21

  6. Equations w/ Variable on Both Sides 3x – 6 = 5x + 8 7x + 10 = x - 2

  7. Complex Equations 2x + 7 – 5x = 4(x + 2) - 3

  8. Using Reciprocals

  9. Solving Ratios

  10. CLASSWORK 1) 7x = 35 8) 3( x – 2) = 3 2) x – 7 = 11 9) 3) 2 – 3x = 11 10) 7x + 2x – 3 = 24 4) 17x – 2 = 15 11) 3x (4) + 5 = 41 5) 2x + 1 = 3x + 6 12) 2( x – 3) + x = 33 6) x – 4 – 7x = 2 13) 4 – 5x – 2 = 27 7) 14)

  11. CLASSWORK Answers 1) x = 5 8) x =3 2) x = 18 9) x = 1 3) x = -3 10) x = 3 4) x = 1 11) x = 3 5) x = -5 12) x = 13 6) x = -1 13) x = -5 7) x = -4 14) x = 6

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