Worksheet: Writing Variables Equation to represent word problems

In this worksheet, we will learn how to write algebraic expressions and variable equations to represent word problems.

Q1:

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

  • A 𝑥 = 1 0 , 𝑦 = 4
  • B 𝑥 = 1 0 , 𝑦 = 4
  • C 𝑥 = 8 4 , 𝑦 = 8 0
  • D 𝑥 = 8 4 , 𝑦 = 8 0
  • E 𝑥 = 1 0 0 , 𝑦 = 1 6

Q2:

If 𝑟 = 5 3 𝑖 and 𝑠 = 2 + 4 𝑖 , find 3 ( 𝑟 + 𝑠 ) .

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

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