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: 7(p + 5) = 98. What is p?
- 2.Solve: 6x + 15 = 81. What is x?
- 3.Zoya thinks of a number, multiplies it by 5 and then adds 3. The result is 43. What is the number?
- 4.Solve: 6x + 29 = 53. What is x?
- 5.Solve: 9(t + 3) = 72. What is t?
- 6.Farhan thinks of a number, multiplies it by 3 and then adds 25. The result is 52. What is the number?
- 7.Rohan’s mother is four times as old as Rohan. Their ages add up to 55 years. How old is Rohan?
- 8.Solve: 3m + 12 = 21. What is m?
- 9.Ananya’s mother is twice as old as Ananya. Their ages add up to 12 years. How old is Ananya?
- 10.Solve: 7y − 2 = 26. What is y?
- 11.Solve: 6(m + 4) = 102. What is m?
- 12.Solve: 8p − 12 = 36. What is p?
- 13.Solve: 9y + 26 = 134. What is y?
- 14.Solve: 4y − 5 = 11. What is y?
- 15.Nisha thinks of a number, multiplies it by 7 and then adds 9. The result is 72. What is the number?
- 16.Solve: 3(p + 3) = 12. What is p?
- 17.Solve: x/8 + 11 = 14. What is x?
- 18.Kabir thinks of a number, multiplies it by 4 and then adds 26. The result is 34. What is the number?
- 19.Farhan thinks of a number, multiplies it by 4 and then adds 10. The result is 14. What is the number?
- 20.Solve: 9(n + 9) = 171. What is n?
- 21.Solve: 8m − 25 = 95. What is m?
- 22.Riya’s mother is four times as old as Riya. Their ages add up to 20 years. How old is Riya?
- 23.Solve: 7p + 21 = 119. What is p?
- 24.Solve: x/3 + 17 = 19. What is x?
- 25.Solve: 9x − 89 = 28. What is x?
- 26.Solve: p/8 + 20 = 24. What is p?
- 27.Solve: 3(p + 6) = 51. What is p?
- 28.Solve: 2(m + 9) = 42. What is m?
- 29.Solve: 9p + 12 = 120. What is p?
- 30.Solve: 5m − 26 = 4. What is m?
- 31.Solve: 2m − 5 = 5. What is m?
- 32.Solve: p/7 + 8 = 22. What is p?
- 33.Solve: 9n − 4 = 113. What is n?
- 34.Zoya thinks of a number, multiplies it by 3 and then adds 3. The result is 36. What is the number?
- 35.Solve: t/3 + 15 = 24. What is t?
- 36.Meera’s mother is four times as old as Meera. Their ages add up to 60 years. How old is Meera?
- 37.Solve: 8n + 17 = 65. What is n?
- 38.Solve: 2m − 1 = 11. What is m?
- 39.Lakshmi is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
- 40.Meera is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
Answer key
- 9
- 11
- 8
- 4
- 5
- 9
- 11
- 3
- 4
- 4
- 13
- 6
- 12
- 4
- 9
- 1
- 24
- 2
- 1
- 10
- 15
- 4
- 14
- 6
- 13
- 32
- 11
- 12
- 12
- 6
- 5
- 98
- 13
- 11
- 27
- 12
- 6
- 6
- 4
- 5
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