Worksheet: Solving Cubic Equations Algebraically

In this worksheet, we will practice solving a cubic equation written as sum or difference of two cubes.

Q1:

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

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

Q2:

Given that 𝑥 and 𝑥 1 0 = 1 0 0 𝑥 2 , determine the value of 𝑥 .

Q3:

Determine the solution set of the equation 3 1 6 𝑥 = 2 2 2 𝑥 6 9 8 3 3 in .

  • A 4 3
  • B 2 3
  • C 5 5 6
  • D 3 2
  • E 3 2

Q4:

Solve the following equation 5 4 𝑥 + 1 8 1 4 = 1 8 6 3 , given that 𝑥 is in .

  • A 9 3 9 0 4
  • B 3 1 0
  • C 9 0 7 9 6
  • D 3 1 0
  • E 1 0 3

Q5:

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

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

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