← Back

Opens your browser’s print dialog β€” choose β€œSave as PDF” as the destination.

Celeste International School

Grade 6 Β· Worksheet

Expressions, formulae and equations

Constructing and solving equations

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    Solve: x + 6 = 19

  2. 2.

    Solve: 34 = y + 15

  3. 3.

    I think of a number and add 6. The answer is 13. What was my number?

  4. 4.

    To solve x + 8 = 16, what should you do to both sides?

    1. Asubtract 8
    2. Badd 8
    3. Cdivide by 8
  5. 5.

    x = 7 is the solution of x + 11 = 18.

    True False
  6. 6.

    Solve: x βˆ’ 8 = 3

  7. 7.

    Solve: 20 = y + 7

  8. 8.

    I think of a number and subtract 3. The answer is 22. What was my number?

  9. 9.

    To solve 8x = 32, what should you do to both sides?

    1. Amultiply by 8
    2. Bdivide by 8
    3. Csubtract 8
  10. 10.

    You pay Β£20 for 3 identical books and get Β£5 change. What does one book cost?

    Β£
  11. 11.

    Solve: x βˆ’ 8 = 6

  12. 12.

    Solve: 21 = y + 7

  13. 13.

    I think of a number and subtract 2. The answer is 14. What was my number?

  14. 14.

    To solve 2x = 6, what should you do to both sides?

    1. Amultiply by 2
    2. Bsubtract 2
    3. Cdivide by 2
  15. 15.

    Put the steps for solving x + 5 = 16 in order.

    Write the order (the order of the working) in the boxes:

    • ?x = 11
    • ?x + 5 = 16
    • ?x + 5 βˆ’ 5 = 16 βˆ’ 5
  16. 16.

    Solve: 4x = 20

  17. 17.

    Solve: 40 = 5y

  18. 18.

    I think of a number and multiply it by 2. The answer is 18. What was my number?

  19. 19.

    To solve 3x = 36, what should you do to both sides?

    1. Adivide by 3
    2. Bmultiply by 3
    3. Csubtract 3
  20. 20.

    Put the steps for solving x + 4 = 7 in order.

    Write the order (the order of the working) in the boxes:

    • ?x = 3
    • ?x + 4 = 7
    • ?x + 4 βˆ’ 4 = 7 βˆ’ 4
Celeste International School

Answer key

Expressions, formulae and equations β€” Constructing and solving equations

  1. 1.13
  2. 2.19
  3. 3.7
  4. 4.A. subtract 8
  5. 5.True
  6. 6.11
  7. 7.13
  8. 8.25
  9. 9.B. divide by 8
  10. 10.5 Β£
  11. 11.14
  12. 12.14
  13. 13.16
  14. 14.C. divide by 2
  15. 15.x + 5 = 16, x + 5 βˆ’ 5 = 16 βˆ’ 5, x = 11
  16. 16.5
  17. 17.8
  18. 18.9
  19. 19.A. divide by 3
  20. 20.x + 4 = 7, x + 4 βˆ’ 4 = 7 βˆ’ 4, x = 3