Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 994 · 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 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
2. 2.Solve: x/3 + x/5 = 48. What is x?
3. 3.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?
4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
5. 5.A father is 32 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?
6. 6.The sum of two consecutive whole numbers is 31. What is the largest of them?
7. 7.Solve: 5(p − 2) = 4p + 2. What is p?
8. 8.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
9. 9.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?
10. 10.The sum of two consecutive whole numbers is 37. What is the smallest of them?
11. 11.The sum of four consecutive whole numbers is 138. What is the largest of them?
12. 12.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
14. 14.The sum of two consecutive whole numbers is 57. What is the largest of them?
15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
16. 16.Solve: x/5 + x/2 = 14. What is x?
17. 17.The sum of three consecutive whole numbers is 153. What is the largest of them?
18. 18.A father is 36 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?
19. 19.Solve: 3(y − 3) = y + 1. What is y?
20. 20.Solve: y/5 + y/4 = 54. What is y?
21. 21.The sum of four consecutive whole numbers is 70. What is the largest of them?
22. 22.Solve: m/5 + m/3 = 48. What is m?
23. 23.Solve: 6p + 16 = p + 31. What is p?
24. 24.Solve: 7t + 7 = 5t + 13. What is t?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
26. 26.The sum of two consecutive whole numbers is 69. What is the smallest of them?
27. 27.Solve: 4(p − 2) = 2p + 20. What is p?
28. 28.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
29. 29.A father is 36 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?
30. 30.Solve: 5(x − 2) = x + 2. What is x?
31. 31.Solve: n/5 + n/4 = 45. What is n?
32. 32.The sum of two consecutive whole numbers is 49. What is the smallest of them?
33. 33.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
34. 34.Solve: t/6 + t/2 = 12. What is t?
35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
36. 36.Solve: 7m + 1 = 5m + 23. What is m?
37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
38. 38.Solve: 5(n − 1) = 3n + 21. What is n?
39. 39.Solve: 6(t − 4) = t + 1. What is t?
40. 40.Solve: n/5 + n/2 = 14. What is n?

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