Solving two-step linear equations using distributive property: $\;a\left( {x + b} \right) = c$

Lessons

• Introduction
  a)

  • What is Distributive Property?
  • How to use distributive property to solve linear equations?
  
  

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• 1.
  Solve the equation using model.
  a)

  $4\left( {x + 1} \right) = 12$
  
  
  b)

  $2\left( {x - 3} \right) = 8$
  
  

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• 2.
  Solve.
  a)

  $3\left( {x - 9} \right) = 45$
  
  
  b)

  $7\left( {10 + x} \right) = 14$
  
  
  c)

  $- 15 = 3\left( {x - 6} \right)$
  
  
  d)

  $- 22 = 11\left( {x + 13} \right)$
  
  

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• 3.
  John has a round table with a circumference of 314.16 cm, but it is too big for his new home. So, he cut off a 10 cm wide border around the edge.
  a)

  Write the equation that represents the situation.
  
  
  b)

  What is the circumference of the table now? Round your answer to two decimal places.
  
  

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