Lesson Worksheet: One-step Equations: Addition and Subtraction Mathematics • 6th Grade

In this worksheet, we will practice writing and solving one-step addition and subtraction equations in questions including word problems.

Q1:

Given that 5+๐‘›=โˆ’5, find the value of ๐‘›.

Q2:

The equation 12โˆ’๐‘ก=8 can be solved using a tape diagram as shown.

The next step to solve the equation is represented by the given diagram. What is added to 12โˆ’๐‘ก to make 12?

  • A12๐‘ก
  • Bโˆ’12
  • C12
  • D๐‘ก
  • Eโˆ’๐‘ก

This leads to the following diagram given that 12โˆ’๐‘ก=8.

Which of the following calculations is used to find ๐‘ก?

  • A8โˆ’12
  • B12ร—8
  • C12+8
  • D12รท8
  • E12โˆ’8

Q3:

Find the solution set of ๐‘ฅโˆ’(โˆ’3)=5 in โ„•.

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

Q4:

Which of the following equations does NOT belong with the others?

  • A1+๐‘ฅ=โˆ’4
  • Bโˆ’10+๐‘ฅ=โˆ’15
  • Cโˆ’3+๐‘ฅ=โˆ’8
  • D1+๐‘ฅ=5

Q5:

If (๐‘ฅ+9) is the additive inverse of โˆ’3, find ๐‘ฅ.

Q6:

Out of 34 games, a hockey team won 28 games. Solve the equation 28+๐‘”=34 to determine ๐‘”, the number of games the team lost.

Q7:

If ๐‘ฅ+8=17, what is the value of ๐‘ฅ?

Q8:

Solve ๐‘ฅโˆ’67=81.

Q9:

Solve the equation ๐‘ฅ+28=10.

  • A๐‘ฅ=18
  • B๐‘ฅ=514
  • C๐‘ฅ=38
  • D๐‘ฅ=โˆ’18

Q10:

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

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

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