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Worksheet: Writing Variables Equation to represent word problems

Q1:

Find the real values of π‘₯ and 𝑦 that satisfy the equation π‘₯ + 𝑦 𝑖 = ( 1 0 + 4 𝑖 ) 2 .

  • A π‘₯ = 1 0 , 𝑦 = βˆ’ 4
  • B π‘₯ = 1 0 , 𝑦 = 4
  • C π‘₯ = 8 4 , 𝑦 = βˆ’ 8 0
  • D π‘₯ = 8 4 , 𝑦 = 8 0
  • E π‘₯ = 1 0 0 , 𝑦 = 1 6

Q2:

If π‘Ÿ = 5 βˆ’ 3 𝑖 and 𝑠 = βˆ’ 2 + 4 𝑖 , find 3 ( π‘Ÿ + 𝑠 ) .

  • A 1 3 βˆ’ 5 𝑖
  • B 3 + 𝑖
  • C 2 1 βˆ’ 2 1 𝑖
  • D 9 + 3 𝑖
  • E 1 7 βˆ’ 1 3 𝑖

Q3:

Find the distance between the complex numbers 𝑧  and 𝑧  shown on the complex plane. Give your answer in an exact simplified form.

  • A 4
  • B 6
  • C 8
  • D 2 √ 4 1
  • E 3 √ 2