Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 683 · 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: 5x + 1 = 4x + 8. What is x?
2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
3. 3.Solve: m/6 + m/2 = 8. What is m?
4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
5. 5.The sum of three consecutive whole numbers is 114. What is the largest of them?
6. 6.Solve: p/2 + p/3 = 15. What is p?
7. 7.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?
8. 8.The sum of two consecutive whole numbers is 57. What is the largest of them?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
10. 10.Solve: m/3 + m/2 = 35. What is m?
11. 11.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
12. 12.The sum of two consecutive whole numbers is 47. What is the largest of them?
13. 13.The sum of three consecutive whole numbers is 177. What is the smallest of them?
14. 14.The sum of two consecutive whole numbers is 89. What is the smallest of them?
15. 15.The sum of four consecutive whole numbers is 182. What is the largest of them?
16. 16.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
17. 17.A father is 14 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?
18. 18.Solve: 3(n − 2) = n + 4. What is n?
19. 19.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
20. 20.Solve: 4y + 3 = y + 48. What is y?
21. 21.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?
22. 22.Solve: x/6 + x/5 = 33. What is x?
23. 23.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
24. 24.Solve: 5(t − 4) = t + 44. What is t?
25. 25.Solve: t/5 + t/2 = 21. What is t?
26. 26.Solve: 3(t − 3) = t + 1. What is t?
27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
28. 28.The sum of three consecutive whole numbers is 54. What is the largest of them?
29. 29.Solve: 4n + 19 = n + 58. What is n?
30. 30.Solve: t/5 + t/6 = 22. What is t?
31. 31.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?
32. 32.Solve: t/6 + t/4 = 10. What is t?
33. 33.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
34. 34.Solve: 3(t − 2) = 2t + 11. What is t?
35. 35.Solve: 5t + 6 = t + 42. What is t?
36. 36.Solve: 8y + 8 = 3y + 78. What is y?
37. 37.Solve: x/3 + x/4 = 42. What is x?
38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
39. 39.Solve: t/2 + t/6 = 28. What is t?
40. 40.Solve: 3m + 7 = m + 11. What is m?

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