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: x/8 + 12 = 26. What is x?
- 2.Meera is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
- 3.Joseph thinks of a number, multiplies it by 2 and then adds 26. The result is 36. What is the number?
- 4.Solve: 3t + 9 = 15. What is t?
- 5.Manav thinks of a number, multiplies it by 4 and then adds 28. The result is 32. What is the number?
- 6.Tara is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
- 7.Solve: 2(p + 3) = 30. What is p?
- 8.Solve: n/2 + 13 = 19. What is n?
- 9.Pooja thinks of a number, multiplies it by 4 and then adds 21. The result is 33. What is the number?
- 10.Solve: 8(n + 1) = 24. What is n?
- 11.Isha is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 12.Solve: 3x − 27 = 18. What is x?
- 13.Solve: m/8 + 15 = 25. What is m?
- 14.Solve: 8(y + 1) = 16. What is y?
- 15.Solve: 8y − 49 = 39. What is y?
- 16.Solve: p/3 + 10 = 11. What is p?
- 17.Farhan thinks of a number, multiplies it by 4 and then adds 15. The result is 23. What is the number?
- 18.Solve: 9p − 76 = 14. What is p?
- 19.Solve: 2p + 26 = 56. What is p?
- 20.Solve: 2n + 22 = 52. What is n?
- 21.Rahul thinks of a number, multiplies it by 2 and then adds 10. The result is 32. What is the number?
- 22.Solve: 7(y + 2) = 84. What is y?
- 23.Diya thinks of a number, multiplies it by 4 and then adds 2. The result is 30. What is the number?
- 24.Solve: 4(x + 9) = 48. What is x?
- 25.Solve: 6x − 19 = 71. What is x?
- 26.Solve: 7y − 45 = 18. What is y?
- 27.Kabir is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
- 28.Solve: y/6 + 5 = 6. What is y?
- 29.Riya thinks of a number, multiplies it by 7 and then adds 28. The result is 126. What is the number?
- 30.Solve: 9(m + 2) = 99. What is m?
- 31.Farhan thinks of a number, multiplies it by 2 and then adds 3. The result is 9. What is the number?
- 32.Solve: t/4 + 5 = 18. What is t?
- 33.Tara is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
- 34.Solve: 3p − 2 = 4. What is p?
- 35.Solve: 2(n + 4) = 22. What is n?
- 36.Arjun thinks of a number, multiplies it by 5 and then adds 15. The result is 55. What is the number?
- 37.Solve: 4(y + 2) = 12. What is y?
- 38.Solve: 6(m + 1) = 72. What is m?
- 39.Solve: 8m + 14 = 94. What is m?
- 40.Solve: 2p − 1 = 9. What is p?
Answer key
- 112
- 5
- 5
- 2
- 1
- 14
- 12
- 12
- 3
- 2
- 10
- 15
- 80
- 1
- 11
- 3
- 2
- 10
- 15
- 15
- 11
- 10
- 7
- 3
- 15
- 9
- 15
- 6
- 14
- 9
- 3
- 52
- 9
- 2
- 7
- 8
- 1
- 11
- 10
- 5
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