Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 447 · 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.Priya thinks of a number, multiplies it by 4 and then adds 27. The result is 67. What is the number?
2. 2.Ananya thinks of a number, multiplies it by 9 and then adds 23. The result is 104. What is the number?
3. 3.Farhan thinks of a number, multiplies it by 3 and then adds 3. The result is 33. What is the number?
4. 4.Solve: 8p + 13 = 117. What is p?
5. 5.Kavya thinks of a number, multiplies it by 6 and then adds 29. The result is 83. What is the number?
6. 6.Pooja’s mother is three times as old as Pooja. Their ages add up to 28 years. How old is Pooja?
7. 7.Solve: 4(n + 6) = 44. What is n?
8. 8.Solve: 4p + 11 = 71. What is p?
9. 9.Farhan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
10. 10.Solve: 5p − 6 = 9. What is p?
11. 11.Solve: y/3 + 17 = 25. What is y?
12. 12.Solve: 6t + 4 = 58. What is t?
13. 13.Solve: 4x − 2 = 2. What is x?
14. 14.Solve: 2(y + 2) = 6. What is y?
15. 15.Solve: 9n − 20 = 25. What is n?
16. 16.Aarav thinks of a number, multiplies it by 2 and then adds 5. The result is 31. What is the number?
17. 17.Gurpreet thinks of a number, multiplies it by 8 and then adds 4. The result is 124. What is the number?
18. 18.Gurpreet is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
19. 19.Solve: 5y + 26 = 51. What is y?
20. 20.Kavya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
21. 21.Solve: p/7 + 3 = 17. What is p?
22. 22.Vivaan thinks of a number, multiplies it by 4 and then adds 4. The result is 24. What is the number?
23. 23.Solve: t/4 + 20 = 25. What is t?
24. 24.Solve: y/2 + 10 = 20. What is y?
25. 25.Aarav is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
26. 26.Ananya thinks of a number, multiplies it by 4 and then adds 7. The result is 23. What is the number?
27. 27.Solve: 3(n + 9) = 39. What is n?
28. 28.Solve: n/8 + 20 = 27. What is n?
29. 29.Ishaan thinks of a number, multiplies it by 6 and then adds 5. The result is 65. What is the number?
30. 30.Solve: 2(n + 5) = 16. What is n?
31. 31.Pooja thinks of a number, multiplies it by 5 and then adds 30. The result is 35. What is the number?
32. 32.Zoya’s mother is four times as old as Zoya. Their ages add up to 45 years. How old is Zoya?
33. 33.Solve: 8m + 15 = 103. What is m?
34. 34.Karan thinks of a number, multiplies it by 9 and then adds 25. The result is 142. What is the number?
35. 35.Solve: 6x − 5 = 55. What is x?
36. 36.Gurpreet thinks of a number, multiplies it by 5 and then adds 12. The result is 87. What is the number?
37. 37.Lakshmi thinks of a number, multiplies it by 6 and then adds 28. The result is 76. What is the number?
38. 38.Karan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
39. 39.Solve: 4x − 6 = 30. What is x?
40. 40.Meera is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?

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