Worksheet: One-Step Equations

In this worksheet, we will practice solving one-step equations using multiplication, division, addition, and subtraction.

Q1:

Solve ๐‘ฅ โˆ’ 6 7 = 8 1 .

Q2:

Solve the equation ๐‘ฅ + 2 8 = 1 0 .

  • A ๐‘ฅ = 5 1 4
  • B ๐‘ฅ = 3 8
  • C ๐‘ฅ = 1 8
  • D ๐‘ฅ = โˆ’ 1 8

Q3:

If 4 ๐‘ฅ = 2 8 , what is the value of 5 ๐‘ฅ ?

Q4:

Find the solution set of the equation 4 ๐‘ฅ = 2 0 .

  • A ๏ฌ 1 5 ๏ธ
  • B { โˆ’ 5 }
  • C ๏ฌ โˆ’ 1 5 ๏ธ
  • D { 5 }
  • E โˆ…

Q5:

Find the solution set of the equation ๐‘ฅ + 6 = 1 , given that ๐‘ฅ โˆˆ โ„• .

  • A { 7 }
  • B { โˆ’ 5 }
  • C { โˆ’ 7 }
  • D โˆ…

Q6:

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

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

Q7:

Find the solution set of 8 ๐‘ฅ โˆ’ 1 = 9 ๐‘ฅ + 1 in โ„• .

  • A { 1 0 }
  • B { 2 }
  • C { โˆ’ 1 0 }
  • D โˆ…

Q8:

Solve for ๐‘ฅ : ๐‘ฅ โˆ’ 8 = 6 .

Q9:

Yasmine was counting the animals at a farm. She counted 22 more cows than sheep. She saw 17 sheep.

How many animals did she count in total?

Q10:

Solve ๐‘ฅ โˆ’ 6 . 9 = โˆ’ 8 . 9 .

Q11:

Is the equation true or false if ๐‘ = 6 0 ?

  • Afalse
  • Btrue

Q12:

If ๐‘ฅ โˆ’ 8 = | โˆ’ 1 0 | , what is the value of ๐‘ฅ ?

Q13:

Find the value of ๐‘ given 7 ๐‘Ž = 1 4 and ๐‘Ž ๐‘ = 7 .

  • A 1 2
  • B1
  • C 2 7
  • D 7 2
  • E2

Q14:

How many solutions can a linear equation with variable ๐‘ฅ have? Pick all possible answers.

  1. 0 solutions
  2. 1 solution
  3. more than 3 solutions
  4. 2 solutions
  • Aa, b
  • Ba only
  • Cb, c
  • Da, b, c
  • Eb only

Q15:

Which of the following has the same solution as ๐‘ฅ โˆ’ 2 = โˆ’ 5 ?

  • A ๐‘ฅ โˆ’ ( โˆ’ 2 ) = 5
  • B ๐‘ฅ โˆ’ ( โˆ’ 2 ) = โˆ’ 5
  • C ๐‘ฅ + ( โˆ’ 2 ) = 5
  • D ๐‘ฅ + ( โˆ’ 2 ) = โˆ’ 5

Q16:

Solve ๐‘ฅ + 2 = 3 3 + 2 .

  • A ๐‘ฅ = 3 5
  • B ๐‘ฅ = 2
  • C ๐‘ฅ = 3 1
  • D ๐‘ฅ = 3 3
  • E ๐‘ฅ = 8

Q17:

Which of the following addition equations have 5 as their solution?

  • A 3 2 = 2 7 + ๐‘ฅ , 4 4 = 4 9 + ๐‘ฅ
  • B 2 7 = 3 2 + ๐‘ฅ , 4 4 = 4 9 + ๐‘ฅ
  • C 2 7 = 3 2 + ๐‘ฅ , 4 9 = 4 4 + ๐‘ฅ
  • D 3 2 = 2 7 + ๐‘ฅ , 4 9 = 4 4 + ๐‘ฅ
  • E 3 2 = 2 7 + ๐‘ฅ , 2 7 = 3 2 + ๐‘ฅ

Q18:

What is the first step in solving the equation โˆ’ 2 1 ๐‘ฆ = 8 . 4 ?

  • Asubtracting โˆ’ 2 1 from each side
  • Bmultiplying each side by โˆ’ 2 1
  • Cadding โˆ’ 2 1 to each side
  • Ddividing each side by โˆ’ 2 1
  • Edividing each side by 8.4

Q19:

What is the first step in solving the equation ๐‘‘ รท ( โˆ’ 3 ) = 4 6 7 ?

  • Asubtracting โˆ’ 3 from each side
  • Bdividing each side by โˆ’ 3
  • Cadding โˆ’ 3 to each side
  • Dmultiplying each side by โˆ’ 3
  • Edividing each side by 3

Q20:

What is the first step in solving the equation 4 ๐‘ฅ = โˆ’ 1 2 4 ?

  • Asubtracting 4 from each side
  • Bmultiplying each side by 4
  • Cadding 4 to each side
  • Ddividing each side by 4
  • Edividing each side by โˆ’ 1 2 4

Q21:

Solve 1 3 = ๐‘ฅ + 5 .

  • A ๐‘ฅ = 7
  • B ๐‘ฅ = 1 8
  • C ๐‘ฅ = 9
  • D ๐‘ฅ = 8
  • E ๐‘ฅ = 3

Q22:

What is the first step in solving the equation 3 ๐‘” = 1 1 0 ?

  • Asubtracting 3 from each side
  • Bmultiplying each side by 3
  • Cadding 3 to each side
  • Ddividing each side by 3
  • Edividing each side by 110

Q23:

Solve 3 ๐‘ฅ = 3 0 .

  • A ๐‘ฅ = 2 7
  • B ๐‘ฅ = 9 0
  • C ๐‘ฅ = 3 3
  • D ๐‘ฅ = 1 0
  • E ๐‘ฅ = โˆ’ 1 0

Q24:

Solve 4 ๐‘ฅ = 3 for ๐‘ฅ .

  • A โˆ’ 1
  • B 4 3
  • C1
  • D 3 4
  • E12

Q25:

What is the first step in solving the equation 1 . 3 ๐‘ฆ = 1 1 . 6 ?

  • Asubtracting 1.3 from each side
  • Bmultiplying each side by 1.3
  • Cadding 1.3 to each side
  • Ddividing each side by 1.3
  • Edividing each side by 11.6

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