Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 846 · 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 length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
2. 2.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
3. 3.A father is 22 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?
4. 4.Solve: y/6 + y/3 = 3. What is y?
5. 5.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: 5(m − 1) = 4m + 7. What is m?
7. 7.Solve: y/4 + y/2 = 12. What is y?
8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
9. 9.Solve: 7p + 3 = 6p + 17. What is p?
10. 10.Solve: 4(n − 5) = 3n + 11. What is n?
11. 11.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?
12. 12.Solve: 6(n − 4) = 2n + 44. What is n?
13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
14. 14.Solve: 4y + 10 = y + 46. What is y?
15. 15.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
16. 16.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 3m + 15 = m + 43. What is m?
18. 18.Solve: 3(m − 5) = 2m + 10. What is m?
19. 19.Solve: m/2 + m/4 = 9. What is m?
20. 20.Solve: x/6 + x/3 = 15. What is x?
21. 21.Solve: 4(m − 1) = 3m + 5. What is m?
22. 22.Solve: 6(n − 2) = 2n + 52. What is n?
23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
24. 24.Solve: 6y + 6 = 3y + 15. What is y?
25. 25.Solve: 7p + 12 = p + 90. What is p?
26. 26.The sum of two consecutive whole numbers is 75. What is the largest of them?
27. 27.The sum of four consecutive whole numbers is 218. What is the largest of them?
28. 28.Solve: x/5 + x/4 = 54. What is x?
29. 29.Solve: m/6 + m/4 = 10. What is m?
30. 30.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
31. 31.The sum of two consecutive whole numbers is 83. What is the largest of them?
32. 32.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
33. 33.The sum of three consecutive whole numbers is 159. What is the smallest of them?
34. 34.A father is 18 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
36. 36.Solve: n/2 + n/4 = 21. What is n?
37. 37.The sum of two consecutive whole numbers is 63. What is the smallest of them?
38. 38.The sum of two consecutive whole numbers is 57. What is the smallest of them?
39. 39.Solve: p/5 + p/6 = 11. What is p?
40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?

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