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Bell Ringer – solve each for x.

Bell Ringer – solve each for x. 1) x + 7 = 12 2) x-6 = 2 3) 4x = 20 4 ) ⅓x = 6 5) 2x -4 = 12 6) ⅙x + 2 = 4 7) 3x + 5 = 10x -9. Steps to Solving an Equation. 1) Simplify each side (expression) of equation separately. (distribute, combine like terms)

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Bell Ringer – solve each for x.

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  1. Bell Ringer – solve each for x. • 1) x + 7 = 12 • 2) x-6 = 2 • 3) 4x = 20 • 4) ⅓x = 6 • 5) 2x -4 = 12 • 6) ⅙x + 2 = 4 • 7) 3x + 5 = 10x -9

  2. Steps to Solving an Equation • 1) Simplify each side (expression) of equation separately. (distribute, combine like terms) • 2) Remove fractions if desired (multiply everything on both sides by the Least Common Multiple – common denominator) • 3) Move variable term to one side (add or subtract) • 4) Eliminate constant (add or subtract) • 5) Eliminate coefficient (divide or mult. by recip.)

  3. Examples: Solve each for x • 1) 10(x-4) = 4(x+4) + 4x • 2) ½ x + ⅓x = 10

  4. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1)

  5. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side

  6. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute

  7. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side

  8. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x

  9. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x

  10. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6

  11. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6 3 3 eliminate coefficient

  12. Think Aloud Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side 3x -15 = 6x + 6 Distribute -3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6 3 3 eliminate coefficient -7 = x divided by 3

  13. Student think aloud # 1 5w + 2 = 2w + 5

  14. Student think aloud #2 -4(x + 2) = 3( x – 4)

  15. Process Analysis • A written think aloud in paragraph form. • Solve problem on top of paper. • After EACH step, write a sentence explaining WHAT you did, HOW and WHY. 12(x + 3) = 2(x + 5) – 3x

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