Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 97 · 40 sums

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

1. 1.The sum of two consecutive whole numbers is 87. What is the smallest of them?
2. 2.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
3. 3.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
4. 4.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
5. 5.The sum of two consecutive whole numbers is 17. What is the largest of them?
6. 6.Solve: 4p + 12 = 3p + 13. What is p?
7. 7.Solve: y/3 + y/6 = 21. What is y?
8. 8.Solve: t/4 + t/3 = 35. What is t?
9. 9.A father is 20 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 4x + 17 = 3x + 31. What is x?
11. 11.Solve: 6n + 7 = n + 52. What is n?
12. 12.Solve: 7p + 1 = 4p + 31. What is p?
13. 13.Solve: 6y + 11 = 5y + 21. What is y?
14. 14.Solve: p/2 + p/5 = 35. What is p?
15. 15.The sum of three consecutive whole numbers is 135. What is the smallest of them?
16. 16.Solve: 3(x − 1) = x + 19. What is x?
17. 17.Solve: 5p + 13 = p + 73. What is p?
18. 18.Solve: 7t + 15 = 5t + 43. What is t?
19. 19.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
20. 20.The sum of four consecutive whole numbers is 226. What is the smallest of them?
21. 21.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
22. 22.Solve: 4(m − 4) = 2m + 24. What is m?
23. 23.The sum of four consecutive whole numbers is 86. What is the smallest of them?
24. 24.Solve: y/2 + y/3 = 5. What is y?
25. 25.Solve: 7p + 2 = 2p + 32. What is p?
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
27. 27.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
28. 28.Solve: 3(x − 5) = x + 17. What is x?
29. 29.Solve: 4(x − 1) = 3x + 10. What is x?
30. 30.Solve: 8t + 5 = 4t + 37. What is t?
31. 31.The sum of three consecutive whole numbers is 63. What is the smallest of them?
32. 32.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: 3(x − 5) = x + 15. What is x?
34. 34.The length of a rectangle is 10 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
35. 35.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
36. 36.Solve: n/6 + n/3 = 15. What is n?
37. 37.The sum of four consecutive whole numbers is 86. What is the largest of them?
38. 38.The sum of two consecutive whole numbers is 69. What is the largest of them?
39. 39.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?

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