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Lesson: Adding and Subtracting Rational Expressions with Like Denominators

Sample Question Videos

Worksheet • 12 Questions • 3 Videos

Q1:

Simplify the function ๐‘› ( ๐‘ฅ ) = 2 ๐‘ฅ โˆ’ 8 + 4 8 โˆ’ ๐‘ฅ , and determine its domain.

  • A ๐‘› ( ๐‘ฅ ) = โˆ’ 2 ๐‘ฅ โˆ’ 8 , domain = โ„ โˆ’ { 8 }
  • B ๐‘› ( ๐‘ฅ ) = 6 ( ๐‘ฅ โˆ’ 8 ) ( 8 โˆ’ ๐‘ฅ ) , domain = โ„ โˆ’ { 8 }
  • C ๐‘› ( ๐‘ฅ ) = โˆ’ 2 ๐‘ฅ โˆ’ 8 , domain = โ„ โˆ’ { โˆ’ 8 , 8 }
  • D ๐‘› ( ๐‘ฅ ) = 6 ๐‘ฅ โˆ’ 8 , domain = โ„ โˆ’ { โˆ’ 8 , 8 }
  • E ๐‘› ( ๐‘ฅ ) = 6 ๐‘ฅ โˆ’ 8 , domain = โ„ โˆ’ { 8 }

Q2:

Simplify the function ๐‘› ( ๐‘ฅ ) = 8 ๐‘ฅ โˆ’ 1 + 7 1 โˆ’ ๐‘ฅ , and determine its domain.

  • A ๐‘› ( ๐‘ฅ ) = 1 ๐‘ฅ โˆ’ 1 , domain = โ„ โˆ’ { 1 }
  • B ๐‘› ( ๐‘ฅ ) = 1 5 ( ๐‘ฅ โˆ’ 1 ) ( 1 โˆ’ ๐‘ฅ ) , domain = โ„ โˆ’ { 1 }
  • C ๐‘› ( ๐‘ฅ ) = 1 ๐‘ฅ โˆ’ 1 , domain = โ„ โˆ’ { โˆ’ 1 , 1 }
  • D ๐‘› ( ๐‘ฅ ) = 1 5 ๐‘ฅ โˆ’ 1 , domain = โ„ โˆ’ { โˆ’ 1 , 1 }
  • E ๐‘› ( ๐‘ฅ ) = 1 5 ๐‘ฅ โˆ’ 1 , domain = โ„ โˆ’ { 1 }

Q3:

Simplify the function ๐‘› ( ๐‘ฅ ) = 2 ๐‘ฅ โˆ’ 6 + 4 6 โˆ’ ๐‘ฅ , and determine its domain.

  • A ๐‘› ( ๐‘ฅ ) = โˆ’ 2 ๐‘ฅ โˆ’ 6 , domain = โ„ โˆ’ { 6 }
  • B ๐‘› ( ๐‘ฅ ) = 6 ( ๐‘ฅ โˆ’ 6 ) ( 6 โˆ’ ๐‘ฅ ) , domain = โ„ โˆ’ { 6 }
  • C ๐‘› ( ๐‘ฅ ) = โˆ’ 2 ๐‘ฅ โˆ’ 6 , domain = โ„ โˆ’ { โˆ’ 6 , 6 }
  • D ๐‘› ( ๐‘ฅ ) = 6 ๐‘ฅ โˆ’ 6 , domain = โ„ โˆ’ { โˆ’ 6 , 6 }
  • E ๐‘› ( ๐‘ฅ ) = 6 ๐‘ฅ โˆ’ 6 , domain = โ„ โˆ’ { 6 }
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