Equivalent expressions of polynomials

Lessons

• 1.
  Identify the coefficient and the number of variables for each expression.
  a)

  8x
  
  
  b)

  $7{x^2}y$
  
  
  c)

  $- ab$
  
  

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• 2.
  Find the like terms.
  a)

  3x       7y       50x       x       $23{x^2}$
  
  
  b)

  $73{a^2}$       $\frac{1}{3}a$       $3{b^2}$       $0.3{c^{}}$       $3{a^2}b$
  
  

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• 3.
  Combine like terms.
  a)

  $x^3 + x^5 + x^3$
  
  
  b)

  ${y^2} + {y^5} + 5{y^2} + x + {x^2} + x$
  
  
  c)

  ${z^3} - {z^3} + {z^2} + 2{x^5} - 4{y^3} + 3{z^2}$
  
  
  d)

  $x^2 + z^2 + 3x^2 - z^2 - 4x^2$
  
  
  e)

  ${z^2} + 3z + 4{z^3} - {3^4} - {z^5}$
  
  
  f)

  $5{y^2} + 4 - 6y + {y^2} - 3 + y$
  
  

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• 4.
  4. Write an equivalent expression with seven terms for each polynomial.
  a)

  ${x^2} + 2x + 3$
  
  
  b)

  $- {y^2} - 3{y^3} - x$
  
  
  c)

  $5x - 3y + 6xy$
  
  

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