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Lesson: Nonlinear System of Equations

Sample Question Videos

Worksheet • 6 Questions • 1 Video

Q1:

Use the graph to solve the following system of equations:

  • A π‘₯ = 1 0 and 𝑦 = 5
  • B π‘₯ = 0 and 𝑦 = 5
  • C π‘₯ = 5 and 𝑦 = 1 0
  • D π‘₯ = 1 0 and 𝑦 = 1 0
  • E π‘₯ = 5 and 𝑦 = 5

Q2:

Find the solution set of 3 Γ— 3 = 2 7 π‘₯ 𝑦 and 3 + 3 = 1 2 π‘₯ 𝑦 .

  • A { ( 1 , 2 ) , ( 2 , 1 ) }
  • B { ( βˆ’ 1 , 1 ) , ( 1 , βˆ’ 1 ) }
  • C { ( 3 , 9 ) , ( 9 , 3 ) }
  • D { ( 3 , βˆ’ 3 ) , ( βˆ’ 3 , 3 ) }
  • E { ( 2 , βˆ’ 2 ) , ( βˆ’ 2 , 2 ) }

Q3:

Find the solution set of 8 Γ— 8 = 5 1 2 π‘₯ 𝑦 and 8 + 8 = 7 2 π‘₯ 𝑦 .

  • A { ( 1 , 2 ) , ( 2 , 1 ) }
  • B { ( βˆ’ 1 , 1 ) , ( 1 , βˆ’ 1 ) }
  • C { ( 8 , 6 4 ) , ( 6 4 , 8 ) }
  • D { ( 2 8 , βˆ’ 2 8 ) , ( βˆ’ 2 8 , 2 8 ) }
  • E { ( 7 , βˆ’ 7 ) , ( βˆ’ 7 , 7 ) }

Q4:

Given that 2 Γ— 4 = 2 0 4 8 π‘š 𝑛 and 2 Γ— 4 = 1 0 2 4 𝑛 π‘š , determine the values of π‘š and 𝑛 .

  • A π‘š = 3 , 𝑛 = 4
  • B π‘š = βˆ’ 3 , 𝑛 = βˆ’ 4
  • C π‘š = βˆ’ 2 , 𝑛 = βˆ’ 4
  • D π‘š = 2 , 𝑛 = 4

Q5:

Given that 3 Γ— 6 = 1 0 8 π‘š 𝑛 and 3 Γ— 6 = 5 4 𝑛 π‘š , determine the values of π‘š and 𝑛 .

  • A π‘š = 1 , 𝑛 = 2
  • B π‘š = βˆ’ 1 , 𝑛 = βˆ’ 2
  • C π‘š = βˆ’ 3 , 𝑛 = βˆ’ 6
  • D π‘š = 3 , 𝑛 = 6

Q6:

Use the graph to solve the following system of equations:

  • A π‘₯ = 2 and 𝑦 = 5
  • B π‘₯ = 5 and 𝑦 = 2 . 5
  • C π‘₯ = 5 and 𝑦 = 2
  • D π‘₯ = 5 and 𝑦 = 1
  • E π‘₯ = 1 and 𝑦 = 5
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