Class 7 Maths Worksheet: Simple Equations
The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.
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- 1.Solve: 2p + 9 = 21. What is p?
- 2.Solve: 8x − 4 = 4. What is x?
- 3.Lakshmi is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 4.Solve: 2(y + 5) = 32. What is y?
- 5.Solve: x/3 + 12 = 13. What is x?
- 6.Solve: 6t − 27 = 15. What is t?
- 7.Solve: 3(x + 5) = 21. What is x?
- 8.Gurpreet thinks of a number, multiplies it by 8 and then adds 3. The result is 51. What is the number?
- 9.Solve: 2y + 21 = 47. What is y?
- 10.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 12 years. How old is Gurpreet?
- 11.Pooja thinks of a number, multiplies it by 7 and then adds 6. The result is 48. What is the number?
- 12.Solve: 9(y + 7) = 198. What is y?
- 13.Dev’s mother is twice as old as Dev. Their ages add up to 21 years. How old is Dev?
- 14.Tara thinks of a number, multiplies it by 8 and then adds 5. The result is 85. What is the number?
- 15.Isha thinks of a number, multiplies it by 9 and then adds 28. The result is 82. What is the number?
- 16.Solve: 9x + 6 = 123. What is x?
- 17.Solve: 4(p + 6) = 68. What is p?
- 18.Solve: 5m − 4 = 1. What is m?
- 19.Solve: 8t + 10 = 98. What is t?
- 20.Solve: 4n − 13 = 39. What is n?
- 21.Solve: x/9 + 2 = 14. What is x?
- 22.Solve: 2y + 12 = 38. What is y?
- 23.Solve: x/5 + 17 = 21. What is x?
- 24.Solve: m/6 + 15 = 17. What is m?
- 25.Solve: x/4 + 7 = 10. What is x?
- 26.Solve: m/2 + 2 = 11. What is m?
- 27.Solve: 3x − 8 = 4. What is x?
- 28.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 32. What is the number?
- 29.Manav’s mother is three times as old as Manav. Their ages add up to 48 years. How old is Manav?
- 30.Riya thinks of a number, multiplies it by 7 and then adds 6. The result is 111. What is the number?
- 31.Solve: 2x − 1 = 3. What is x?
- 32.Solve: 2(y + 8) = 30. What is y?
- 33.Solve: 3(p + 3) = 21. What is p?
- 34.Solve: 3t + 4 = 49. What is t?
- 35.Solve: y/3 + 18 = 31. What is y?
- 36.Solve: 9(p + 4) = 135. What is p?
- 37.Solve: 5(n + 5) = 30. What is n?
- 38.Aarav thinks of a number, multiplies it by 2 and then adds 23. The result is 31. What is the number?
- 39.Manav is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
- 40.Solve: 3y − 13 = 8. What is y?
Answer key
- 6
- 1
- 14
- 11
- 3
- 7
- 2
- 6
- 13
- 4
- 6
- 15
- 7
- 10
- 6
- 13
- 11
- 1
- 11
- 13
- 108
- 13
- 20
- 12
- 12
- 18
- 4
- 4
- 12
- 15
- 2
- 7
- 4
- 15
- 39
- 11
- 1
- 4
- 7
- 7
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