Worksheet: Replacement Set

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

Q1:

Determine the solution set of 2 ๐‘ฅ + 5 = โˆ’ 1 1 using the substitution set { โˆ’ 1 6 , 8 , โˆ’ 8 , 1 } .

  • A { โˆ’ 8 }
  • B { 1 }
  • C { 8 }
  • D { โˆ’ 1 6 }
  • E { 1 6 }

Q2:

Find the solution set of 2 ๐‘ฅ + 2 = ๐‘ฅ โˆ’ 5 using the substitution set { โˆ’ 1 2 , 7 , โˆ’ 7 , 3 } .

  • A { 7 }
  • B { 3 }
  • C { โˆ’ 1 2 }
  • D { โˆ’ 7 }

Q3:

Determine the solution set of the equation ๐‘ฅ ร— 5 = ๐‘ฅ + 4 using the substitution set { 5 , 6 , 1 , 7 } .

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

Q4:

Find the solution set of ๐‘ฅ + 1 = 3 using the substitution set { 7 , 5 , 2 , 6 } .

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

Q5:

Identify which of the list { 4 3 , 4 4 , 4 5 } is the solution of ๐‘ก รท 3 = 1 5 .

Q6:

Identify which of the list { 4 4 , 4 5 , 4 6 } is the solution of 5 8 โˆ’ ๐‘ = 1 3 .

Q7:

Find the solution set of 2 ๐‘ฅ โˆ’ 4 = 1 6 using the substitution set { 2 0 , 6 , 1 0 , 3 } .

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

Q8:

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

  • Asubstitution set
  • Bsolution set

Q9:

Identify which of the list { 6 6 , 6 7 , 6 8 } is the solution of ๐‘ก รท 2 = 3 4 .

Q10:

Find the solution set of ๐‘ฅ + 2 = 1 2 using the substitution set { 4 , 3 , 1 0 , 1 } .

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

Q11:

Determine the solution set of the equation ๐‘ฅ ร— 5 = ๐‘ฅ + 4 using the substitution set { 5 , 6 , 1 , 3 } .

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

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