Worksheet: Replacement Set

In this worksheet, we will practice finding a solution set using a replacement set.

Q1:

Determine the solution set of 2๐‘ฅ+5=โˆ’11 using the substitution set {โˆ’16,8,โˆ’8,1}.

  • A{8}
  • B{โˆ’16}
  • C{1}
  • D{16}
  • E{โˆ’8}

Q2:

Find the solution set of 2๐‘ฅ+2=๐‘ฅโˆ’5 using the substitution set {โˆ’12,7,โˆ’7,3}.

  • A{7}
  • B{3}
  • C{โˆ’7}
  • D{โˆ’12}

Q3:

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

  • A{7}
  • B{5}
  • C{6}
  • D{1}

Q4:

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

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

Q5:

Identify which of the list {43,44,45} is the solution of ๐‘กรท3=15.

Q6:

Identify which of the list {44,45,46} is the solution of 58โˆ’๐‘=13.

Q7:

Find the solution set of 2๐‘ฅโˆ’4=16 using the substitution set {20,6,10,3}.

  • A{6}
  • B{20}
  • C{12}
  • D{10}
  • E{3}

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 {66,67,68} is the solution of ๐‘กรท2=34.

Q10:

Find the solution set of ๐‘ฅ+2=12 using the substitution set {4,3,10,1}.

  • A{1}
  • B{10}
  • C{3}
  • D{14}
  • E{4}

Q11:

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

  • A{3}
  • B{5}
  • C{6}
  • D{1}

Q12:

Find the solution set of 2(๐‘ฅโˆ’8)=โˆ’12 using the substitution set {6,โˆ’2,2,5}.

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

Q13:

Identify which of the list {5,6,7} is the solution of 50=10๐‘ž.

Q14:

Which of the following equations has a solution set of {โˆ’2}?

  • A3๐‘งโˆ’14=8
  • B4๐‘ง+9=19
  • C3๐‘ง+14=8
  • D3๐‘ง=25

Q15:

Determine the solution set of 4๐‘ฅ+6=โˆ’14 using the substitution set {โˆ’20,โˆ’2,โˆ’5,โˆ’8}.

  • A{โˆ’2}
  • B{โˆ’5}
  • C{โˆ’20}
  • D{โˆ’8}

Q16:

Find the solution set of 2๐‘ฅ+2=4 using the substitution set {2,3,1,9}.

  • A{2}
  • B{6}
  • C{1}
  • D{3}
  • E{9}

Q17:

The number โˆ’6 is a solution to which equation?

  • A๐‘ฅ+5=1
  • Bโˆ’3๐‘ฅ+1=19
  • Cโˆ’2๐‘ฅ+8=1
  • D๐‘ฅโˆ’6=2๐‘ฅ+1

Q18:

Choose the equation whose solution is โˆ’1.

  • A4๐‘ฅโˆ’4=โˆ’8
  • B4๐‘ฅโˆ’4=8
  • C4๐‘ฅ+4=โˆ’8
  • D4๐‘ฅ+4=8
  • E4(๐‘ฅโˆ’4)=8

Q19:

Find the solution set of 8๐‘ฅ3=๐‘ฅ+5 using the substitution set {24,11,3,7}.

  • A{11}
  • B{24}
  • C{3}
  • D{8}
  • E{7}

Q20:

Determine the solution set of the equation 3(๐‘ฅโˆ’1)=๐‘ฅ+9 using the substitution set {15,12,6,5}.

  • A{5}
  • B{6}
  • C{15}
  • D{12}

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