Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 65 · 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: 5m − 6 = 59. What is m?
2. 2.Dev is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
3. 3.Farhan’s mother is twice as old as Farhan. Their ages add up to 30 years. How old is Farhan?
4. 4.Kabir thinks of a number, multiplies it by 2 and then adds 2. The result is 20. What is the number?
5. 5.Ishaan thinks of a number, multiplies it by 3 and then adds 4. The result is 43. What is the number?
6. 6.Solve: p/3 + 4 = 8. What is p?
7. 7.Solve: 2(m + 6) = 38. What is m?
8. 8.Solve: 2m − 5 = 5. What is m?
9. 9.Solve: y/2 + 16 = 23. What is y?
10. 10.Solve: 5(y + 5) = 95. What is y?
11. 11.Rahul thinks of a number, multiplies it by 7 and then adds 19. The result is 110. What is the number?
12. 12.Solve: 9t + 5 = 41. What is t?
13. 13.Solve: 5m + 11 = 26. What is m?
14. 14.Priya’s mother is three times as old as Priya. Their ages add up to 16 years. How old is Priya?
15. 15.Solve: 9(n + 4) = 162. What is n?
16. 16.Solve: 8(x + 3) = 72. What is x?
17. 17.Gurpreet is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
18. 18.Solve: p/2 + 11 = 25. What is p?
19. 19.Pooja thinks of a number, multiplies it by 2 and then adds 11. The result is 33. What is the number?
20. 20.Solve: y/9 + 4 = 16. What is y?
21. 21.Solve: 6p − 11 = 43. What is p?
22. 22.Karan thinks of a number, multiplies it by 7 and then adds 11. The result is 116. What is the number?
23. 23.Solve: x/4 + 5 = 14. What is x?
24. 24.Solve: 8(t + 5) = 136. What is t?
25. 25.Solve: 5t − 34 = 1. What is t?
26. 26.Solve: 6t + 2 = 8. What is t?
27. 27.Solve: 9y + 3 = 93. What is y?
28. 28.Solve: 6(y + 8) = 108. What is y?
29. 29.Solve: x/6 + 7 = 19. What is x?
30. 30.Solve: y/7 + 6 = 8. What is y?
31. 31.Solve: t/7 + 1 = 3. What is t?
32. 32.Solve: 2p + 2 = 4. What is p?
33. 33.Solve: y/4 + 20 = 21. What is y?
34. 34.Rohan’s mother is three times as old as Rohan. Their ages add up to 36 years. How old is Rohan?
35. 35.Solve: 4n + 29 = 65. What is n?
36. 36.Solve: 9x + 17 = 89. What is x?
37. 37.Solve: 7n + 11 = 39. What is n?
38. 38.Solve: 9y − 60 = 57. What is y?
39. 39.Solve: 2n − 5 = 1. What is n?
40. 40.Sneha thinks of a number, multiplies it by 2 and then adds 18. The result is 28. What is the number?

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