Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 891 · 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: 9y + 8 = 44. What is y?
2. 2.Priya thinks of a number, multiplies it by 9 and then adds 14. The result is 23. What is the number?
3. 3.Gurpreet is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
4. 4.Solve: x/3 + 17 = 18. What is x?
5. 5.Pooja is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
6. 6.Solve: 6t − 1 = 17. What is t?
7. 7.Solve: 2y − 5 = 13. What is y?
8. 8.Kavya thinks of a number, multiplies it by 2 and then adds 2. The result is 8. What is the number?
9. 9.Saanvi thinks of a number, multiplies it by 5 and then adds 17. The result is 42. What is the number?
10. 10.Kavya’s mother is three times as old as Kavya. Their ages add up to 16 years. How old is Kavya?
11. 11.Aarav’s mother is three times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
12. 12.Solve: 9x + 18 = 45. What is x?
13. 13.Solve: 6p − 6 = 36. What is p?
14. 14.Arjun thinks of a number, multiplies it by 8 and then adds 4. The result is 36. What is the number?
15. 15.Meera is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
16. 16.Pooja thinks of a number, multiplies it by 4 and then adds 18. The result is 42. What is the number?
17. 17.Solve: 5m − 23 = 2. What is m?
18. 18.Solve: 5y + 9 = 24. What is y?
19. 19.Solve: y/6 + 15 = 30. What is y?
20. 20.Farhan thinks of a number, multiplies it by 4 and then adds 15. The result is 31. What is the number?
21. 21.Solve: 5x + 10 = 50. What is x?
22. 22.Kabir thinks of a number, multiplies it by 5 and then adds 29. The result is 104. What is the number?
23. 23.Rahul thinks of a number, multiplies it by 5 and then adds 16. The result is 81. What is the number?
24. 24.Solve: 3m − 6 = 3. What is m?
25. 25.Aarav is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
26. 26.Rohan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
27. 27.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
28. 28.Solve: 8m + 10 = 74. What is m?
29. 29.Meera thinks of a number, multiplies it by 7 and then adds 29. The result is 113. What is the number?
30. 30.Zoya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
31. 31.Ananya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
32. 32.Solve: 5p − 3 = 2. What is p?
33. 33.Solve: 9t + 13 = 67. What is t?
34. 34.Aarav thinks of a number, multiplies it by 2 and then adds 28. The result is 40. What is the number?
35. 35.Pooja’s mother is four times as old as Pooja. Their ages add up to 50 years. How old is Pooja?
36. 36.Solve: 6n − 63 = 3. What is n?
37. 37.Solve: 5n − 2 = 18. What is n?
38. 38.Kabir is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
39. 39.Solve: 3y − 26 = 10. What is y?
40. 40.Kavya thinks of a number, multiplies it by 8 and then adds 17. The result is 121. What is the number?

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