Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 300 · 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.Solve: 6(x + 7) = 126. What is x?
2. 2.Solve: y/4 + 19 = 30. What is y?
3. 3.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 30 years. How old is Saanvi?
4. 4.Solve: 6m − 9 = 3. What is m?
5. 5.Isha is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
6. 6.Solve: 8(y + 2) = 112. What is y?
7. 7.Solve: x/5 + 5 = 20. What is x?
8. 8.Solve: 7n − 2 = 19. What is n?
9. 9.Isha thinks of a number, multiplies it by 7 and then adds 29. The result is 71. What is the number?
10. 10.Solve: y/6 + 13 = 17. What is y?
11. 11.Solve: 9(y + 3) = 144. What is y?
12. 12.Solve: m/6 + 1 = 4. What is m?
13. 13.Kabir is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
14. 14.Dev is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
15. 15.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 40 years. How old is Ishaan?
16. 16.Solve: p/9 + 10 = 24. What is p?
17. 17.Solve: n/6 + 6 = 19. What is n?
18. 18.Solve: t/6 + 15 = 16. What is t?
19. 19.Solve: 3(x + 7) = 63. What is x?
20. 20.Solve: 4(y + 2) = 28. What is y?
21. 21.Solve: 2m + 27 = 43. What is m?
22. 22.Solve: 5t + 20 = 70. What is t?
23. 23.Solve: 3t − 6 = 30. What is t?
24. 24.Aarav’s mother is four times as old as Aarav. Their ages add up to 35 years. How old is Aarav?
25. 25.Solve: 7p + 28 = 70. What is p?
26. 26.Manav thinks of a number, multiplies it by 3 and then adds 3. The result is 45. What is the number?
27. 27.Solve: 3(m + 7) = 57. What is m?
28. 28.Solve: 8x − 7 = 1. What is x?
29. 29.Saanvi thinks of a number, multiplies it by 4 and then adds 22. The result is 26. What is the number?
30. 30.Solve: 6n + 3 = 63. What is n?
31. 31.Solve: t/5 + 3 = 14. What is t?
32. 32.Solve: 2p + 1 = 5. What is p?
33. 33.Solve: 3(x + 1) = 48. What is x?
34. 34.Solve: 4n + 9 = 61. What is n?
35. 35.Saanvi is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
36. 36.Solve: 5n + 11 = 86. What is n?
37. 37.Rohan thinks of a number, multiplies it by 9 and then adds 27. The result is 108. What is the number?
38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 39 years. How old is Ananya?
39. 39.Solve: x/6 + 3 = 5. What is x?
40. 40.Saanvi is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?

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