Solving two-step linear equations: $ax + b = c$, ${x \over a} + b = c$

Lessons

• Introduction
  a)

  How to turn a word problem into an equation?
  • ex. 1: "revenue" problem
  • ex. 2: "area" problem
  
  

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• 1.
  Solve.
  a)

  $\frac{4}{5} + \frac{5}{4}x = \frac{1}{3}$
  
  
  b)

  $\frac{3}{4} + 2x = 5\frac{1}{3}$
  
  
  c)

  $\frac{2}{3} - \frac{x}{2} = \frac{4}{7}$
  
  
  d)

  $- 3\frac{3}{4} = - 6\frac{1}{4} + \frac{1}{8}x$
  
  

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• 2.
  Solve.
  a)

  $- 0.05 - \frac{x}{{2.6}} = - 0.03$
  
  
  b)

  $\frac{x}{{ - 2.14}} + 0.86 = 6.32$
  
  

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• 3.
  Solve.
  a)

  $3.07 = 0.3x - 4.6$
  
  
  b)

  $\frac{7}{9} = \frac{7}{8} - \frac{x}{9}$
  
  
  c)

  $- 1.8 = 4.5 + \frac{x}{{2.3}}$
  
  
  d)

  $3\frac{1}{3} + 2\frac{1}{9}v = - \frac{4}{9}$
  
  

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• 4.
  The number of hours Peter exercised in May is 3.5 hours less than one fourth of the number of hours John exercised in the same month. Peter had 15.8 hours of exercise in May. How many hours of exercise did John have in May?

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