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.Dev is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
- 2.Solve: p/6 + 4 = 7. What is p?
- 3.Diya thinks of a number, multiplies it by 8 and then adds 10. The result is 114. What is the number?
- 4.Solve: 3(m + 7) = 51. What is m?
- 5.Solve: 5y + 4 = 79. What is y?
- 6.Solve: 5(n + 7) = 65. What is n?
- 7.Solve: 4m − 4 = 16. What is m?
- 8.Solve: 5x + 22 = 57. What is x?
- 9.Solve: 4t − 7 = 5. What is t?
- 10.Solve: 7y − 39 = 31. What is y?
- 11.Solve: 9m + 29 = 137. What is m?
- 12.Solve: 8n − 8 = 16. What is n?
- 13.Gurpreet thinks of a number, multiplies it by 3 and then adds 7. The result is 52. What is the number?
- 14.Solve: m/2 + 10 = 13. What is m?
- 15.Sneha is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 16.Pooja thinks of a number, multiplies it by 7 and then adds 9. The result is 37. What is the number?
- 17.Solve: 2(t + 3) = 12. What is t?
- 18.Solve: 6p + 7 = 73. What is p?
- 19.Dev’s mother is twice as old as Dev. Their ages add up to 24 years. How old is Dev?
- 20.Solve: 8(x + 2) = 40. What is x?
- 21.Solve: 9(t + 8) = 108. What is t?
- 22.Priya’s mother is four times as old as Priya. Their ages add up to 40 years. How old is Priya?
- 23.Lakshmi’s mother is three times as old as Lakshmi. Their ages add up to 24 years. How old is Lakshmi?
- 24.Solve: y/5 + 13 = 22. What is y?
- 25.Solve: 4t − 13 = 35. What is t?
- 26.Solve: t/9 + 11 = 12. What is t?
- 27.Solve: n/6 + 5 = 6. What is n?
- 28.Solve: m/8 + 1 = 9. What is m?
- 29.Solve: 9t + 25 = 124. What is t?
- 30.Riya thinks of a number, multiplies it by 8 and then adds 25. The result is 81. What is the number?
- 31.Solve: 7(x + 2) = 112. What is x?
- 32.Solve: y/4 + 13 = 27. What is y?
- 33.Solve: 3x + 26 = 38. What is x?
- 34.Solve: m/5 + 15 = 20. What is m?
- 35.Diya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
- 36.Kabir is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
- 37.Solve: 8(n + 4) = 120. What is n?
- 38.Solve: 3y − 5 = 7. What is y?
- 39.Solve: 4(t + 3) = 36. What is t?
- 40.Solve: 9t + 20 = 146. What is t?
Answer key
- 6
- 18
- 13
- 10
- 15
- 6
- 5
- 7
- 3
- 10
- 12
- 3
- 15
- 6
- 15
- 4
- 3
- 11
- 8
- 3
- 4
- 8
- 6
- 45
- 12
- 9
- 6
- 64
- 11
- 7
- 14
- 56
- 4
- 25
- 7
- 13
- 11
- 4
- 6
- 14
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