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: 5y − 35 = 5. What is y?
- 2.Solve: 7(y + 5) = 42. What is y?
- 3.Zoya’s mother is three times as old as Zoya. Their ages add up to 56 years. How old is Zoya?
- 4.Solve: 7x − 3 = 18. What is x?
- 5.Solve: 2(n + 9) = 38. What is n?
- 6.Solve: 5y − 2 = 3. What is y?
- 7.Solve: 3x + 20 = 53. What is x?
- 8.Solve: 2(n + 3) = 28. What is n?
- 9.Solve: 6p − 40 = 38. What is p?
- 10.Rohan thinks of a number, multiplies it by 6 and then adds 3. The result is 9. What is the number?
- 11.Solve: 2t − 1 = 11. What is t?
- 12.Joseph thinks of a number, multiplies it by 3 and then adds 20. The result is 50. What is the number?
- 13.Solve: 9t + 24 = 69. What is t?
- 14.Solve: 2(m + 8) = 36. What is m?
- 15.Pooja is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
- 16.Solve: 2t − 1 = 5. What is t?
- 17.Solve: t/9 + 6 = 7. What is t?
- 18.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
- 19.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
- 20.Solve: 9(y + 3) = 36. What is y?
- 21.Solve: 7m − 57 = 34. What is m?
- 22.Solve: 2x − 14 = 8. What is x?
- 23.Solve: 3t + 12 = 42. What is t?
- 24.Solve: p/4 + 1 = 9. What is p?
- 25.Priya thinks of a number, multiplies it by 9 and then adds 17. The result is 134. What is the number?
- 26.Solve: 3t − 30 = 3. What is t?
- 27.Ananya thinks of a number, multiplies it by 7 and then adds 4. The result is 109. What is the number?
- 28.Solve: 8t + 25 = 81. What is t?
- 29.Sneha thinks of a number, multiplies it by 3 and then adds 9. The result is 51. What is the number?
- 30.Nisha thinks of a number, multiplies it by 5 and then adds 21. The result is 81. What is the number?
- 31.Solve: 4y − 15 = 9. What is y?
- 32.Solve: 9n − 4 = 14. What is n?
- 33.Solve: 7(n + 4) = 35. What is n?
- 34.Solve: 9y + 14 = 50. What is y?
- 35.Solve: m/2 + 11 = 25. What is m?
- 36.Joseph is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 37.Rahul thinks of a number, multiplies it by 3 and then adds 3. The result is 6. What is the number?
- 38.Solve: t/8 + 7 = 10. What is t?
- 39.Kabir thinks of a number, multiplies it by 6 and then adds 2. The result is 32. What is the number?
- 40.Tara’s mother is three times as old as Tara. Their ages add up to 24 years. How old is Tara?
Answer key
- 8
- 1
- 14
- 3
- 10
- 1
- 11
- 11
- 13
- 1
- 6
- 10
- 5
- 10
- 11
- 3
- 9
- 14
- 12
- 1
- 13
- 11
- 10
- 32
- 13
- 11
- 15
- 7
- 14
- 12
- 6
- 2
- 1
- 4
- 28
- 12
- 1
- 24
- 5
- 6
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