Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 247 · 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.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
2. 2.The sum of three consecutive whole numbers is 90. What is the largest of them?
3. 3.Solve: n/4 + n/2 = 9. What is n?
4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
5. 5.Solve: x/3 + x/2 = 15. What is x?
6. 6.A father is 45 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?
7. 7.Solve: 7x + 19 = 6x + 32. What is x?
8. 8.A father is 36 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?
9. 9.Solve: 5m + 10 = 3m + 20. What is m?
10. 10.A father is 18 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?
11. 11.Solve: y/6 + y/2 = 8. What is y?
12. 12.A father is 22 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?
13. 13.Solve: 4p + 17 = 2p + 29. What is p?
14. 14.Solve: 4(x − 2) = 2x + 24. What is x?
15. 15.A father is 33 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?
16. 16.Solve: m/3 + m/4 = 28. What is m?
17. 17.Solve: 8p + 1 = 7p + 4. What is p?
18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
19. 19.The sum of three consecutive whole numbers is 60. What is the largest of them?
20. 20.Solve: p/4 + p/3 = 42. What is p?
21. 21.Solve: 6p + 5 = p + 15. What is p?
22. 22.Solve: n/4 + n/5 = 27. What is n?
23. 23.Solve: 5(y − 4) = y + 16. What is y?
24. 24.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?
25. 25.Solve: 3(t − 5) = 2t + 7. What is t?
26. 26.Solve: 6(p − 4) = 2p + 28. What is p?
27. 27.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?
28. 28.Solve: 4p + 13 = p + 16. What is p?
29. 29.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
32. 32.The sum of four consecutive whole numbers is 82. What is the largest of them?
33. 33.Solve: 5(x − 3) = 2x + 33. What is x?
34. 34.The sum of three consecutive whole numbers is 48. What is the largest of them?
35. 35.Solve: 3p + 2 = 2p + 11. What is p?
36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
37. 37.Solve: 6(p − 3) = 5p + 13. What is p?
38. 38.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
39. 39.Solve: x/2 + x/5 = 21. What is x?
40. 40.The sum of three consecutive whole numbers is 54. What is the smallest of them?

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