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One-step equations worksheets

Twenty equations with one operation to undo, such as x + 7 = 15 and 4x = 28, in three versions with answer keys.

One-step equations: all four

NameDate

Solve for x.

  1. x ÷ 8 = 8, x =
  2. 5x = 15, x =
  3. 2x = 18, x =
  4. x ÷ 8 = 6, x =
  5. x + 18 = 35, x =
  6. x + 14 = 30, x =
  7. x ÷ 6 = 12, x =
  8. 4x = 28, x =
  9. x − 5 = 13, x =
  10. x ÷ 10 = 6, x =
  11. 5 + x = 15, x =
  12. 2 + x = 13, x =
  13. 5x = 35, x =
  14. x + 10 = 27, x =
  15. x − 4 = 13, x =
  16. 11x = 55, x =
  17. 12x = 120, x =
  18. x ÷ 3 = 12, x =
  19. 2x = 2, x =
  20. x − 2 = 2, x =
Sheet AFree at teach.peabody.kids

One-step equations: all four

NameDate

Solve for x.

  1. x − 5 = 5, x =
  2. x + 14 = 28, x =
  3. 3x = 3, x =
  4. 2x = 14, x =
  5. x + 19 = 26, x =
  6. 10 + x = 22, x =
  7. x − 1 = 5, x =
  8. x − 11 = 4, x =
  9. x ÷ 10 = 8, x =
  10. 3x = 6, x =
  11. x ÷ 3 = 7, x =
  12. x ÷ 9 = 12, x =
  13. x − 5 = 2, x =
  14. 4 + x = 18, x =
  15. 10x = 40, x =
  16. 5x = 10, x =
  17. x − 9 = 1, x =
  18. x − 3 = 1, x =
  19. 5 + x = 17, x =
  20. x ÷ 4 = 8, x =
Sheet BFree at teach.peabody.kids

One-step equations: all four

NameDate

Solve for x.

  1. x ÷ 2 = 6, x =
  2. 4x = 32, x =
  3. 10x = 80, x =
  4. 6x = 18, x =
  5. 20 + x = 36, x =
  6. x − 9 = 9, x =
  7. 10 + x = 18, x =
  8. 11 + x = 28, x =
  9. 19 + x = 33, x =
  10. x + 9 = 27, x =
  11. x ÷ 9 = 9, x =
  12. 20 + x = 26, x =
  13. 2 + x = 22, x =
  14. 14 + x = 22, x =
  15. x − 6 = 2, x =
  16. x ÷ 3 = 4, x =
  17. 13 + x = 27, x =
  18. 7x = 56, x =
  19. 6x = 60, x =
  20. x − 3 = 8, x =
Sheet CFree at teach.peabody.kids

Answer key

Sheet A

  1. 64
  2. 3
  3. 9
  4. 48
  5. 17
  6. 16
  7. 72
  8. 7
  9. 18
  10. 60
  11. 10
  12. 11
  13. 7
  14. 17
  15. 17
  16. 5
  17. 10
  18. 36
  19. 1
  20. 4

Sheet B

  1. 10
  2. 14
  3. 1
  4. 7
  5. 7
  6. 12
  7. 6
  8. 15
  9. 80
  10. 2
  11. 21
  12. 108
  13. 7
  14. 14
  15. 4
  16. 2
  17. 10
  18. 4
  19. 12
  20. 32

Sheet C

  1. 12
  2. 8
  3. 8
  4. 3
  5. 16
  6. 18
  7. 8
  8. 17
  9. 14
  10. 18
  11. 81
  12. 6
  13. 20
  14. 8
  15. 8
  16. 12
  17. 14
  18. 8
  19. 10
  20. 11
Answer keyFree at teach.peabody.kids

One-step equations: 20 problems a sheet, 3 versions that do not repeat each other where the numbers allow.

How to use it

  1. Look at the sheet: it is a real, printable sheet. Switch between Sheet A, B and C, or press New numbers (N) for a fresh set.
  2. Change how many problems, how many versions, and whether the key prints. Settings stay in this browser; Share copies a link that rebuilds the same sheets.
  3. Press Print sheet A and key, or Print all. The answer key prints on its own page, so you can keep it back.

Ideas for class

  • Say the operation aloud: x has had 7 added, so we take 7 away. The words show students what to do.
  • Always ask students to check by substituting the answer back into the equation.
  • Use a balance picture on the board, with the same change on both sides, for the first few problems.

Related

Questions

Are the answers always positive?

On this sheet, yes. For negative answers, choose One-step equations with negative numbers in the maker, which is the seventh-grade version.

Does the sheet show x or a box?

It shows the letter x, followed by x = and a blank to write the answer. This follows the usual textbook form.

Are the answer keys checked?

Each answer is worked out by the code that wrote the problem, and our tests recompute every answer a second way and compare. Please still look over the key before you grade a class set.

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What this worksheet covers

A one-step equation has a single operation between the variable and a number, and solving it means undoing that operation. This sheet mixes all four: x + 7 = 15, x − 4 = 9, 4x = 28 and x ÷ 5 = 6. Every answer is a whole number, so students can concentrate on choosing the inverse operation and not on dividing awkward numbers.

Who it is for

Sixth grade. Common Core 6.EE.B.7 asks students to solve equations of the form x + p = q and px = q for cases in which p, q and x are all non-negative rational numbers. It is the first step in algebra and leads straight into two-step equations.

Solving equations with one operation · grade 6

A worked example

x + 7 = 15. The 7 was added, so subtract 7 from both sides: x = 8. Check by putting 8 back: 8 + 7 = 15. For 4x = 28, the 4 multiplies x, so divide both sides by 4 and get x = 7.

Mistakes to watch for

  • Adding when the equation says add, giving x = 22 for x + 7 = 15. Use the opposite operation.
  • Dividing the wrong way round in 4x = 28, writing x = 4 ÷ 28. Say that the 28 is split into 4 equal parts.

Make it your own

This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.