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Worksheet: Using a Replacement Set for Solving Equations

In this worksheet, we will practice solving equations using a replacement set.

Q1:

Identify which of the list { 4 3 , 4 4 , 4 5 } is the solution of 𝑑 Γ· 3 = 1 5 .

Q2:

Identify which of the list { 2 , 3 , 4 } is the solution of 1 5 Γ· 𝑑 = 5 .

Q3:

Determine the solution set of using the substitution set .

  • A
  • B
  • C
  • D
  • E

Q4:

Find the solution set of 2 π‘₯ βˆ’ 4 = 1 6 using the substitution set { 2 0 , 6 , 1 0 , 3 } .

  • A { 6 }
  • B { 2 0 }
  • C { 3 }
  • D { 1 0 }
  • E { 1 2 }

Q5:

Find the solution set of π‘₯ + 1 = 3 using the substitution set { 7 , 5 , 2 , 6 } .

  • A { 5 }
  • B { 7 }
  • C { 6 }
  • D { 2 }
  • E { 4 }

Q6:

Find the solution set of π‘₯ + 2 = 1 2 using the substitution set { 4 , 3 , 1 0 , 1 } .

  • A { 3 }
  • B { 4 }
  • C { 1 }
  • D { 1 0 }
  • E { 1 4 }

Q7:

What is the name of the set of elements that satisfy an equation or inequality?

  • Asolution set
  • Bsubstitution set

Q8:

Identify which of the list { 4 4 , 4 5 , 4 6 } is the solution of 5 8 βˆ’ 𝑏 = 1 3 .

Q9:

Determine the solution set of the equation π‘₯ Γ— 5 = π‘₯ + 4 using the substitution set { 5 , 6 , 1 , 7 } .

  • A { 6 }
  • B { 5 }
  • C { 7 }
  • D { 1 }

Q10:

Determine the solution set of the equation π‘₯ Γ— 5 = π‘₯ + 4 using the substitution set { 5 , 6 , 1 , 3 } .

  • A { 6 }
  • B { 5 }
  • C { 3 }
  • D { 1 }

Q11:

Determine the solution set of the equation π‘₯ Γ— 6 = 5 π‘₯ + 5 using the substitution set { 3 0 , 1 1 , 5 , 3 } .

  • A { 1 1 }
  • B { 3 0 }
  • C { 3 }
  • D { 5 }

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