Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 465 · 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.Solve: n/2 + n/5 = 42. What is n?
2. 2.Solve: 3(y − 4) = 2y + 2. What is y?
3. 3.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
4. 4.The sum of two consecutive whole numbers is 13. What is the smallest of them?
5. 5.Solve: y/2 + y/5 = 56. What is y?
6. 6.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
7. 7.Solve: 9t + 20 = 4t + 80. What is t?
8. 8.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
9. 9.Solve: 5(t − 3) = 4t + 4. What is t?
10. 10.The sum of three consecutive whole numbers is 81. What is the largest of them?
11. 11.A father is 14 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.A father is 20 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?
13. 13.Solve: 3(y − 5) = 2y + 6. What is y?
14. 14.The sum of three consecutive whole numbers is 93. What is the largest of them?
15. 15.Solve: 7t + 1 = 6t + 16. What is t?
16. 16.The sum of two consecutive whole numbers is 55. What is the smallest of them?
17. 17.Solve: t/4 + t/2 = 9. What is t?
18. 18.Solve: n/3 + n/2 = 10. What is n?
19. 19.Solve: x/5 + x/6 = 66. What is x?
20. 20.A father is 16 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?
21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
22. 22.Solve: x/6 + x/3 = 9. What is x?
23. 23.The sum of two consecutive whole numbers is 15. What is the largest of them?
24. 24.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
25. 25.Solve: 6(n − 4) = 3n + 6. What is n?
26. 26.The sum of two consecutive whole numbers is 47. What is the smallest of them?
27. 27.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
29. 29.Solve: 3(m − 4) = m + 20. What is m?
30. 30.A father is 10 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?
31. 31.Solve: m/5 + m/3 = 48. What is m?
32. 32.Solve: 3(n − 3) = 2n + 1. What is n?
33. 33.Solve: 5y + 12 = 3y + 30. What is y?
34. 34.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
35. 35.Solve: 3t + 2 = 2t + 6. What is t?
36. 36.Solve: 5(p − 1) = p + 11. What is p?
37. 37.Solve: 6(p − 3) = 5p + 1. What is p?
38. 38.Solve: 6(m − 2) = 5m + 8. What is m?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?

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