Multiplying polynomials by monomials

Lessons

• 1.
  Multiply each expression by using an area model.
  a)

  $\left( {3x} \right)\left( {7x + 4} \right)$
  
  
  b)

  $\left( {2x + 8} \right)\left( {1.6x} \right)$
  
  

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• 2.
  Multiply.
  a)

  $\left( {4.6} \right)\left( {3x - 8} \right)$
  
  
  b)

  $\left( {5x} \right)\left( {2x - 1.2} \right)$
  
  
  c)

  $\left( {4x - 1} \right)\left( {6x} \right)$
  
  
  d)

  $\left( {13 - 9x} \right)\left( {2.3x} \right)$
  
  
  e)

  $\left( {3x} \right)\left( {2x + 5y + 7} \right)$
  
  
  f)

  $\left( {\frac{1}{4}x - 2} \right)\left( { - x} \right)$
  
  

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• 3.
  The width of a rectangular grass field is 1.5 m shorter than 0.7 times the length.
  a)

  Determine the expression for the area of the field.
  
  
  b)

  If the width is 6.9 m, what is the area of the field?
  
  

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