Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 462 · 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.Pooja thinks of a number, multiplies it by 5 and then adds 23. The result is 93. What is the number?
2. 2.Solve: 7(t + 1) = 63. What is t?
3. 3.Solve: 2n + 23 = 39. What is n?
4. 4.Solve: p/7 + 9 = 11. What is p?
5. 5.Solve: 3x + 12 = 15. What is x?
6. 6.Solve: m/4 + 4 = 16. What is m?
7. 7.Solve: 6(y + 8) = 72. What is y?
8. 8.Solve: m/6 + 20 = 34. What is m?
9. 9.Solve: y/7 + 6 = 16. What is y?
10. 10.Solve: 7(n + 9) = 161. What is n?
11. 11.Diya thinks of a number, multiplies it by 2 and then adds 7. The result is 25. What is the number?
12. 12.Solve: 2p + 26 = 48. What is p?
13. 13.Solve: 2(t + 5) = 18. What is t?
14. 14.Solve: 3(t + 6) = 24. What is t?
15. 15.Solve: 5y + 10 = 15. What is y?
16. 16.Gurpreet thinks of a number, multiplies it by 3 and then adds 17. The result is 29. What is the number?
17. 17.Kabir thinks of a number, multiplies it by 7 and then adds 30. The result is 121. What is the number?
18. 18.Priya thinks of a number, multiplies it by 3 and then adds 20. The result is 23. What is the number?
19. 19.Solve: 8n + 8 = 24. What is n?
20. 20.Solve: 6n − 58 = 20. What is n?
21. 21.Solve: 6(p + 8) = 114. What is p?
22. 22.Solve: y/2 + 16 = 27. What is y?
23. 23.Solve: 7(n + 8) = 119. What is n?
24. 24.Solve: 9(n + 1) = 36. What is n?
25. 25.Solve: y/4 + 9 = 23. What is y?
26. 26.Pooja’s mother is three times as old as Pooja. Their ages add up to 28 years. How old is Pooja?
27. 27.Solve: 9m − 90 = 18. What is m?
28. 28.Isha is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
29. 29.Solve: 4m − 23 = 21. What is m?
30. 30.Solve: x/9 + 18 = 30. What is x?
31. 31.Solve: 9x − 45 = 18. What is x?
32. 32.Lakshmi is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
33. 33.Solve: 5(y + 1) = 25. What is y?
34. 34.Solve: 9x − 45 = 81. What is x?
35. 35.Solve: 3y − 2 = 16. What is y?
36. 36.Karan is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
37. 37.Solve: 8m − 41 = 7. What is m?
38. 38.Solve: 5(n + 6) = 75. What is n?
39. 39.Solve: 7y − 17 = 74. What is y?
40. 40.Diya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?

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