Lesson Worksheet: Two-Step Equations Mathematics

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In this worksheet, we will practice forming and solving two-step equations using addition and subtraction or multiplication and addition.

Q1:

Find the solution set of 3𝑥−9=−6 in ℕ.

  • A{3}
  • B{6}
  • C{1}
  • D∅

Q2:

Find the solution set of 2𝑥+12=18 in ℤ.

  • A{6}
  • B{15}
  • C{3}
  • D{30}

Q3:

If 47−2𝑥=27, what is the value of 𝑥?

Q4:

Fawaz has a collection of 51 stamps. When he was moving, he put the same number of stamps in each of the first 8 albums and 3 stamps in the last album. Find the number of stamps in each of the first 8 folders by solving the equation 8𝑥+3=51, where 𝑥 is the number of stamps.

Q5:

Find the solution set of 8𝑥−8=16 in ℤ.

  • A{1}
  • B{24}
  • C{3}
  • D{8}

Q6:

Find the solution set of 7𝑥+11=−24 in ℤ.

  • A{13}
  • B{1}
  • C{−35}
  • D{−5}

Q7:

Solve 124−𝑝=99.

  • A𝑝=71
  • B𝑝=34
  • C𝑝=−25
  • D𝑝=25
  • E𝑝=223

Q8:

What is the first step in solving the equation 2𝑥+30=12?

  • Aadding 30 to each side
  • Bmultiplying each side by 2
  • Cdividing each side by 30
  • Dadding 12 to each side
  • Esubtracting 30 from each side

Q9:

What is the first step in solving the equation 3𝑥+10=124?

  • Aadding 10 to each side
  • Bmultiplying each side by 3
  • Cadding 124 to each side
  • Dsubtracting 10 from each side
  • Edividing each side by 10

Q10:

Solve 26−ℎ=12.

  • Aℎ=14
  • Bℎ=−14
  • Cℎ=74
  • Dℎ=38
  • Eℎ=41

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