Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 252 · 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: 6m + 16 = 4m + 44. What is m?
2. 2.Solve: x/3 + x/6 = 21. What is x?
3. 3.Solve: 4t + 9 = 3t + 18. What is t?
4. 4.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
5. 5.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
6. 6.Solve: 5(p − 2) = p + 18. What is p?
7. 7.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
8. 8.Solve: 5(y − 5) = 2y + 23. What is y?
9. 9.Solve: 4(p − 5) = p + 4. What is p?
10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
11. 11.Solve: 5(y − 2) = y + 18. What is y?
12. 12.The sum of three consecutive whole numbers is 159. What is the smallest of them?
13. 13.Solve: 8y + 7 = 4y + 47. What is y?
14. 14.Solve: t/5 + t/4 = 72. What is t?
15. 15.Solve: t/4 + t/6 = 40. What is t?
16. 16.Solve: 7m + 3 = 4m + 24. What is m?
17. 17.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
19. 19.Solve: x/2 + x/6 = 4. What is x?
20. 20.The sum of two consecutive whole numbers is 111. What is the largest of them?
21. 21.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: 6p + 3 = 2p + 23. What is p?
23. 23.The sum of two consecutive whole numbers is 59. What is the largest of them?
24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
26. 26.The sum of three consecutive whole numbers is 87. What is the largest of them?
27. 27.A father is 39 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?
28. 28.Solve: 9x + 8 = 7x + 38. What is x?
29. 29.The sum of three consecutive whole numbers is 126. What is the largest of them?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
31. 31.The sum of four consecutive whole numbers is 162. What is the smallest of them?
32. 32.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: 3n + 1 = n + 21. What is n?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
35. 35.Solve: x/6 + x/4 = 20. What is x?
36. 36.Solve: 3(x − 3) = x + 1. What is x?
37. 37.Solve: 4n + 11 = 3n + 24. What is n?
38. 38.The sum of four consecutive whole numbers is 54. What is the largest of them?
39. 39.The sum of two consecutive whole numbers is 45. What is the largest of them?
40. 40.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?

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