Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 198 · 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 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
2. 2.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
3. 3.The sum of two consecutive whole numbers is 45. What is the largest of them?
4. 4.The sum of three consecutive whole numbers is 141. What is the largest of them?
5. 5.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
6. 6.A father is 12 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?
7. 7.Solve: 3(p − 3) = 2p + 6. What is p?
8. 8.Solve: 3(t − 2) = t + 24. What is t?
9. 9.A father is 48 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?
10. 10.Solve: 5(p − 1) = 3p + 19. What is p?
11. 11.The length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
12. 12.Solve: 4x + 5 = 2x + 15. What is x?
13. 13.Solve: 6(x − 2) = 4x + 8. What is x?
14. 14.Solve: 4(p − 1) = p + 14. What is p?
15. 15.Solve: 5(y − 5) = 4y + 3. What is y?
16. 16.The sum of three consecutive whole numbers is 39. What is the smallest of them?
17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
18. 18.Solve: x/3 + x/5 = 64. What is x?
19. 19.The sum of four consecutive whole numbers is 74. What is the largest of them?
20. 20.Solve: 3x + 19 = x + 45. What is x?
21. 21.Solve: n/6 + n/4 = 15. What is n?
22. 22.Solve: 7x + 4 = x + 94. What is x?
23. 23.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?
24. 24.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
25. 25.A father is 42 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?
26. 26.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
27. 27.Solve: 5(m − 4) = 2m + 10. What is m?
28. 28.The sum of three consecutive whole numbers is 69. What is the largest of them?
29. 29.Solve: 5m + 7 = 3m + 31. What is m?
30. 30.Solve: 5x + 8 = x + 28. What is x?
31. 31.A father is 11 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.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
33. 33.The sum of two consecutive whole numbers is 43. What is the smallest of them?
34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
35. 35.The sum of two consecutive whole numbers is 73. What is the smallest of them?
36. 36.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?
37. 37.Solve: 9p + 10 = 3p + 22. What is p?
38. 38.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
39. 39.Solve: 4(n − 4) = n + 5. What is n?
40. 40.The sum of four consecutive whole numbers is 58. What is the smallest of them?

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