Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 504 · 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: m/3 + 16 = 30. What is m?
2. 2.Solve: t/3 + 7 = 11. What is t?
3. 3.Pooja is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
4. 4.Solve: 2t − 2 = 2. What is t?
5. 5.Karan thinks of a number, multiplies it by 5 and then adds 24. The result is 54. What is the number?
6. 6.Solve: t/3 + 1 = 7. What is t?
7. 7.Solve: 2x + 6 = 10. What is x?
8. 8.Solve: 8n − 11 = 109. What is n?
9. 9.Solve: p/6 + 7 = 10. What is p?
10. 10.Aditya thinks of a number, multiplies it by 5 and then adds 30. The result is 40. What is the number?
11. 11.Manav is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
12. 12.Lakshmi thinks of a number, multiplies it by 2 and then adds 3. The result is 23. What is the number?
13. 13.Solve: m/9 + 8 = 21. What is m?
14. 14.Ananya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
15. 15.Aarav thinks of a number, multiplies it by 4 and then adds 27. The result is 71. What is the number?
16. 16.Solve: 4(t + 2) = 12. What is t?
17. 17.Solve: 6(p + 4) = 114. What is p?
18. 18.Solve: 4t − 11 = 1. What is t?
19. 19.Solve: 2m − 4 = 8. What is m?
20. 20.Solve: 7(p + 5) = 119. What is p?
21. 21.Solve: 9x − 8 = 28. What is x?
22. 22.Solve: m/2 + 12 = 15. What is m?
23. 23.Kavya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
24. 24.Karan’s mother is twice as old as Karan. Their ages add up to 24 years. How old is Karan?
25. 25.Aarav is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
26. 26.Solve: 5x − 8 = 12. What is x?
27. 27.Aditya’s mother is three times as old as Aditya. Their ages add up to 36 years. How old is Aditya?
28. 28.Ananya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
29. 29.Solve: 3(x + 2) = 42. What is x?
30. 30.Solve: 9(n + 4) = 90. What is n?
31. 31.Solve: 9(p + 4) = 153. What is p?
32. 32.Rahul’s mother is twice as old as Rahul. Their ages add up to 27 years. How old is Rahul?
33. 33.Solve: 2(m + 4) = 36. What is m?
34. 34.Solve: 2(x + 9) = 42. What is x?
35. 35.Solve: 8y − 40 = 32. What is y?
36. 36.Solve: y/3 + 5 = 12. What is y?
37. 37.Solve: 6(t + 8) = 72. What is t?
38. 38.Sneha’s mother is twice as old as Sneha. Their ages add up to 27 years. How old is Sneha?
39. 39.Nisha’s mother is twice as old as Nisha. Their ages add up to 18 years. How old is Nisha?
40. 40.Solve: 9t + 30 = 138. What is t?

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