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Worksheet: Solving Cubic Equations Algebraically

Q1:

Find the value of 𝑦 given that ( 2 𝑦 βˆ’ 1 4 ) βˆ’ 3 6 = 2 8 3 .

  • A βˆ’ 5
  • B 6
  • C βˆ’ 8
  • D 9
  • E 18

Q2:

Given that π‘₯ ∈ ℝ and βˆ’ π‘₯ 1 0 = 1 0 0 π‘₯ 2 , determine the value of π‘₯ .

Q3:

Determine the solution set of the equation 3 1 βˆ’ 6 π‘₯ = βˆ’ 2 2 2 π‘₯ βˆ’ 6 9 8 3 3 in ℝ .

  • A  βˆ’ 4 3 
  • B  βˆ’ 2 3 
  • C  βˆ’ 5 5 6 
  • D  βˆ’ 3 2 
  • E  3 2 

Q4:

Solve the following equation 5 4 π‘₯ + 1 8 1 4 = βˆ’ 1 8 6 3 , given that π‘₯ is in ℝ .

  • A  9 3 9 0 4 
  • B  3 1 0 
  • C  βˆ’ 9 0 7 9 6 
  • D  βˆ’ 3 1 0 
  • E  βˆ’ 1 0 3 

Q5:

Find the value of 𝑦 given that βˆ’ 1 0 0 0 𝑦 βˆ’ 2 7 = 0 3 .

  • A 3
  • B 3 1 0
  • C βˆ’ 3
  • D βˆ’ 3 1 0