Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 60 · 40 sums

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.

1. 1.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 44 years. How old is Vivaan?
2. 2.Solve: 9n + 23 = 95. What is n?
3. 3.Solve: 3y − 14 = 13. What is y?
4. 4.Solve: 4m − 3 = 5. What is m?
5. 5.Kabir is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
6. 6.Farhan is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
7. 7.Solve: 9x + 4 = 22. What is x?
8. 8.Solve: 9(t + 7) = 198. What is t?
9. 9.Joseph thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
10. 10.Solve: 3(t + 6) = 48. What is t?
11. 11.Solve: 5n − 14 = 6. What is n?
12. 12.Solve: 7(p + 7) = 140. What is p?
13. 13.Zoya is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
14. 14.Nisha thinks of a number, multiplies it by 7 and then adds 22. The result is 92. What is the number?
15. 15.Solve: 3p + 9 = 48. What is p?
16. 16.Solve: 3m − 6 = 12. What is m?
17. 17.Solve: 8p + 21 = 133. What is p?
18. 18.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
19. 19.Rohan’s mother is three times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
20. 20.Solve: 2y − 7 = 3. What is y?
21. 21.Solve: 2(n + 7) = 34. What is n?
22. 22.Solve: 4m + 1 = 57. What is m?
23. 23.Solve: 8t + 10 = 26. What is t?
24. 24.Solve: 2(x + 9) = 28. What is x?
25. 25.Solve: 2(t + 8) = 44. What is t?
26. 26.Solve: 6n + 3 = 69. What is n?
27. 27.Solve: 9p − 1 = 17. What is p?
28. 28.Ananya thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
29. 29.Solve: x/9 + 20 = 28. What is x?
30. 30.Solve: 5(m + 8) = 65. What is m?
31. 31.Solve: 3y + 17 = 50. What is y?
32. 32.Solve: 3m − 19 = 14. What is m?
33. 33.Solve: 3x − 3 = 21. What is x?
34. 34.Solve: 8y + 26 = 42. What is y?
35. 35.Rahul thinks of a number, multiplies it by 5 and then adds 18. The result is 83. What is the number?
36. 36.Solve: m/4 + 13 = 20. What is m?
37. 37.Meera thinks of a number, multiplies it by 6 and then adds 16. The result is 22. What is the number?
38. 38.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 12 years. How old is Ishaan?
39. 39.Solve: 2(t + 3) = 12. What is t?
40. 40.Diya’s mother is four times as old as Diya. Their ages add up to 40 years. How old is Diya?

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