Atividade: Equacionando, Adicionando e Subtraindo Números Complexos

Nesta atividade, nós vamos praticar equacionar, adicionar e subtrair números complexos.

Q1:

Simplifique 1 4 βˆ’ ( 9 βˆ’ 8 𝑖 ) + ( 3 βˆ’ 1 2 𝑖 ) βˆ’ ( 9 βˆ’ 4 𝑖 ) .

  • A 3 βˆ’ 1 6 𝑖
  • B 3 5 βˆ’ 2 4 𝑖
  • C 2 1 βˆ’ 2 4 𝑖
  • D βˆ’ 1

Q2:

Se os nΓΊmeros complexos 4 + 5 𝑖 e π‘Ž + 5 𝑖 sΓ£o iguais, qual Γ© o valor de π‘Ž ?

Q3:

Se os nΓΊmeros complexos 7 + π‘Ž 𝑖 e 𝑏 βˆ’ 3 𝑖 sΓ£o iguais, quais sΓ£o os valores de π‘Ž e 𝑏 ?

  • A π‘Ž = βˆ’ 7 , 𝑏 = 3
  • B π‘Ž = 7 , 𝑏 = βˆ’ 3
  • C π‘Ž = 3 , 𝑏 = βˆ’ 7
  • D π‘Ž = βˆ’ 3 , 𝑏 = 7
  • E π‘Ž = βˆ’ 3 , 𝑏 = βˆ’ 7

Q4:

Quanto Γ© ( βˆ’ 7 βˆ’ 𝑖 ) βˆ’ ( 3 βˆ’ 4 𝑖 ) + ( 2 βˆ’ 7 𝑖 ) ?

  • A βˆ’ 2 βˆ’ 1 2 𝑖
  • B βˆ’ 6 + 2 𝑖
  • C βˆ’ 1 2 + 1 0 𝑖
  • D βˆ’ 8 βˆ’ 4 𝑖

Q5:

Qual Γ© o valor de βˆ’ 9 + ( 7 + 4 𝑖 ) + ( βˆ’ 4 βˆ’ 4 𝑖 ) βˆ’ ( 1 + 3 𝑖 ) ?

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

Q6:

Determine os valores reais de π‘₯ e 𝑦 que satisfaΓ§am a equação ( 2 π‘₯ βˆ’ 5 ) + 𝑦 𝑖 = βˆ’ 3 βˆ’ 5 𝑖 .

  • A π‘₯ = 2 , 𝑦 = βˆ’ 5
  • B π‘₯ = 1 , 𝑦 = 5
  • C π‘₯ = βˆ’ 3 , 𝑦 = βˆ’ 5
  • D π‘₯ = 1 , 𝑦 = βˆ’ 5

Q7:

Simplifique ( 6 βˆ’ 3 𝑖 ) + ( 5 βˆ’ 𝑖 ) .

  • A 1 1 + 4 𝑖
  • B βˆ’ 4 + 1 1 𝑖
  • C βˆ’ 4 βˆ’ 1 1 𝑖
  • D 1 1 βˆ’ 4 𝑖

Q8:

Encontre os valores reais de π‘₯ e 𝑦 que satisfaΓ§a a equação π‘₯ + 𝑦 𝑖 = 1 0 βˆ’ 7 𝑖 .

  • A π‘₯ = βˆ’ 1 0 , 𝑦 = 7
  • B π‘₯ = βˆ’ 1 0 , 𝑦 = βˆ’ 7
  • C π‘₯ = 1 0 , 𝑦 = 7
  • D π‘₯ = 1 0 , 𝑦 = βˆ’ 7
  • E π‘₯ = βˆ’ 7 , 𝑦 = 1 0

Q9:

Simplifique ( 6 βˆ’ 𝑖 ) + ( 4 βˆ’ 9 𝑖 ) .

  • A 1 0 + 1 0 𝑖
  • B 2 4 + 9 𝑖
  • C 2 4 βˆ’ 9 𝑖
  • D 1 0 βˆ’ 1 0 𝑖

Q10:

Simplifique ( 4 + 𝑖 ) βˆ’ ( 6 + 4 𝑖 ) .

  • A βˆ’ 2 + 3 𝑖
  • B 2 4 βˆ’ 4 𝑖
  • C 2 4 + 4 𝑖
  • D βˆ’ 2 βˆ’ 3 𝑖
  • E 2 + 3 𝑖

Q11:

Determinar os valores reais de π‘₯ e 𝑦 que satisfazem a equação π‘₯ + 𝑦 𝑖 = ( βˆ’ 1 9 + 7 𝑖 ) + ( 1 βˆ’ 4 𝑖 ) .

  • A π‘₯ = 3 , 𝑦 = βˆ’ 1 8
  • B π‘₯ = βˆ’ 2 0 , 𝑦 = 1 1
  • C π‘₯ = βˆ’ 1 9 , 𝑦 = βˆ’ 2 8
  • D π‘₯ = βˆ’ 1 8 , 𝑦 = 3

Q12:

Determine os valores reais de π‘₯ e 𝑦 que satisfazem a equação 5 π‘₯ + 2 + ( 3 𝑦 βˆ’ 5 ) 𝑖 = βˆ’ 3 + 4 𝑖 .

  • A π‘₯ = 1 , 𝑦 = 3
  • B π‘₯ = 1 , 𝑦 = βˆ’ 3
  • C π‘₯ = βˆ’ 1 , 𝑦 = βˆ’ 3
  • D π‘₯ = βˆ’ 1 , 𝑦 = 3

Q13:

Encontre os valores reais de π‘₯ e 𝑦 que satisfazem a equação 4 π‘₯ + 2 𝑦 + ( π‘₯ βˆ’ 𝑦 ) 𝑖 = 8 + 8 𝑖 .

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

Q14:

Encontre os valores reais de π‘₯ e 𝑦 que satisfazem a equação 2 π‘₯ + 2 π‘₯ 𝑖 + 4 𝑦 βˆ’ 4 𝑦 𝑖 = 8 .

  • A π‘₯ = 8 , 𝑦 = 0
  • B π‘₯ = βˆ’ 2 , 𝑦 = βˆ’ 1
  • C π‘₯ = 2 , 𝑦 = βˆ’ 1
  • D π‘₯ = 2 , 𝑦 = 1

Q15:

Calcule ( βˆ’ 4 βˆ’ 5 𝑖 ) βˆ’ ( 2 βˆ’ 6 𝑖 ) .

  • A βˆ’ 2 βˆ’ 1 1 𝑖
  • B 6 βˆ’ 𝑖
  • C 2 + 1 1 𝑖
  • D βˆ’ 6 + 𝑖
  • E βˆ’ 6 βˆ’ 1 1 𝑖

Q16:

Se π‘Ÿ = 1 0 + 6 𝑖 e 𝑠 = 4 βˆ’ 3 𝑖 , determine π‘Ÿ βˆ’ 𝑠 .

  • A βˆ’ 6 βˆ’ 9 𝑖
  • B 1 4 + 3 𝑖
  • C βˆ’ 1 4 βˆ’ 3 𝑖
  • D 6 + 9 𝑖
  • E 6 + 3 𝑖

Q17:

Se π‘Ÿ = 5 + 2 𝑖 e 𝑠 = 9 βˆ’ 𝑖 , determine R e ( π‘Ÿ βˆ’ 𝑠 ) .

Q18:

Se π‘Ÿ = 7 βˆ’ 4 𝑖 e 𝑠 = 2 𝑖 , escreva π‘Ÿ βˆ’ 𝑠 na forma π‘Ž + 𝑏 𝑖 .

  • A 7 βˆ’ 2 𝑖
  • B 9 βˆ’ 4 𝑖
  • C 5 βˆ’ 4 𝑖
  • D 7 βˆ’ 6 𝑖
  • E 5 βˆ’ 6 𝑖

Q19:

Se π‘Ÿ = 2 + 3 𝑖 e 𝑠 = 4 βˆ’ 5 𝑖 , determine π‘Ÿ + 𝑠 .

  • A βˆ’ 2 + 8 𝑖
  • B 6 βˆ’ 8 𝑖
  • C 2 βˆ’ 8 𝑖
  • D 6 βˆ’ 2 𝑖
  • E 6 + 2 𝑖

Q20:

Se π‘Ž = 7 𝑖 , 𝑏 = βˆ’ 3 βˆ’ 8 𝑖 e 𝑐 = 4 + 5 𝑖 , serΓ‘ verdade que ( π‘Ž + 𝑏 ) 𝑖 = 𝑐 + 𝑏 ?

  • Asim
  • BnΓ£o

Q21:

Se π‘Ÿ = 2 βˆ’ 𝑖 e 𝑠 = βˆ’ 4 + 𝑖 , qual Γ© a parte imaginΓ‘ria de π‘Ÿ + 𝑠 ?

Q22:

Adicione 4 βˆ’ 2 𝑖 para 3 + 7 𝑖 .

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

Q23:

Se π‘Ÿ = 4 + 3 𝑖 e 𝑠 = 2 βˆ’ 𝑖 , determine π‘Ÿ + 𝑠 𝑖 .

  • A βˆ’ 2 + 6 𝑖
  • B 3 + 5 𝑖
  • C 4 + 4 𝑖
  • D 5 + 5 𝑖
  • E 6 + 2 𝑖

Q24:

Encontre a mΓ©dia dos nΓΊmeros complexos 4 + 5 𝑖 e 8 βˆ’ 5 𝑖 .

  • A 12
  • B 2
  • C 4
  • D 6
  • E 16

Q25:

Se π‘Ÿ = βˆ’ 5 + 2 𝑖 e 𝑠 = βˆ’ 8 βˆ’ 2 𝑖 , determine 2 π‘Ÿ + 3 𝑠 .

  • A 1 4 + 1 0 𝑖
  • B βˆ’ 3 4 + 2 𝑖
  • C 1 + 1 0 𝑖
  • D βˆ’ 3 4 βˆ’ 2 𝑖
  • E 3 4 + 2 𝑖

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