Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 516 · 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 largest of them?
2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
3. 3.A father is 30 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
4. 4.Solve: p/5 + p/3 = 56. What is p?
5. 5.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: y/2 + y/5 = 35. What is y?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
8. 8.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
10. 10.Solve: 6m + 18 = 3m + 63. What is m?
11. 11.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
12. 12.The length of a rectangle is 5 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
13. 13.Solve: 4(x − 2) = 2x + 24. What is x?
14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
15. 15.Solve: 3(m − 1) = 2m + 9. What is m?
16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
18. 18.The sum of two consecutive whole numbers is 67. What is the smallest of them?
19. 19.Solve: 8m + 11 = 5m + 44. What is m?
20. 20.Solve: 7n + 10 = 2n + 60. What is n?
21. 21.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
22. 22.The sum of four consecutive whole numbers is 138. What is the smallest of them?
23. 23.Solve: 6(y − 2) = 5y + 8. What is y?
24. 24.Solve: n/5 + n/4 = 27. What is n?
25. 25.Solve: 4x + 12 = 2x + 26. What is x?
26. 26.A father is 26 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?
27. 27.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
28. 28.A father is 32 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?
29. 29.Solve: p/4 + p/6 = 25. What is p?
30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
31. 31.Solve: n/5 + n/4 = 54. What is n?
32. 32.Solve: 6(m − 2) = 2m + 48. What is m?
33. 33.Solve: m/2 + m/6 = 28. What is m?
34. 34.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
35. 35.Solve: 6(y − 4) = 4y + 18. What is y?
36. 36.Solve: 3(x − 2) = x + 24. What is x?
37. 37.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 3(x − 1) = x + 3. What is x?
39. 39.Solve: 8x + 4 = 6x + 8. What is x?
40. 40.Solve: p/2 + p/6 = 32. What is p?

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