Adding and Subtracting Monomials

Adding and Subtracting Monomials

• 1.
  AIM How dowe add & subtract monomials?
• 2.
  MINI LESSON 6x²6 is the coefficient x is the base 2 is the exponent or power
• 3.
  MINI LESSON (cont.)Degree of a monomial : the sum of the exponents in the monomial 6x² has a degree of 2 7x²y has a degree of 3 (because the y has an exponent of 1) * a ²b² has a coefficient of 1
• 4.
  MINI LESSON (cont.)Degree of a polynomial : the largest of the degrees of its monomials. a²b + 3a 4 has a degree of 4 3xyz + 9a 5 - 6b + 5 has a degree of 5
• 5.
  MINI LESSON (cont.)Like terms : monomials that are exactly the same except for their coefficient. 7x 7x yes (like terms) 4x 3x yes (like terms) 4x² 3x no (unlike terms) 5y 3xy no (unlike terms)
• 6.
  MINI LESSON (cont.)Adding Monomials Add the coefficients Keep the base 7a + 5a = 5d + 6d = 10z³ + 7z³ = Subtracting Monomials Subtract the coefficients Keep the base 8p – 2p = 10t – 3t = 7a + 6p = 18xyz + 1xzy =
• 7.
  WE DO Simplifythe following expressions: 1. 9a + 15a 2. ¼z + 8 + 3/4z - 5
• 8.
  WE DO (cont.)CHECK IT OUT with the COACH – p 300 What is the expression 5a – 6 + ½ - 2a + 3 ½ in simplest form? Rewrite the expression. __________ Combine the terms with variables. Rewrite the expression. __________ Combine the terms with no variables. Rewrite the expression. __________ So the expression 5a – 6 + ½ - 2a + 3 ½ in simplest form is __________
• 9.
  YOU DO COACH p 300 – 301 #s 1-11
• 10.
  REFLECTION Why canwe combine 18xzy + 1xyz but not 7a + 6p ?