Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 138 · 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 sum of three consecutive whole numbers is 42. What is the largest of them?
2. 2.Solve: 4x + 15 = 3x + 18. What is x?
3. 3.Solve: 5n + 15 = 4n + 28. What is n?
4. 4.Solve: 6n + 7 = n + 82. What is n?
5. 5.Solve: m/3 + m/4 = 49. What is m?
6. 6.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 4(m − 5) = 3m + 5. What is m?
8. 8.Solve: 3(p − 1) = 2p + 3. What is p?
9. 9.Solve: 5(p − 2) = 4p + 10. What is p?
10. 10.A father is 34 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?
11. 11.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?
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 10 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
14. 14.Solve: y/4 + y/2 = 24. What is y?
15. 15.The sum of two consecutive whole numbers is 121. What is the largest of them?
16. 16.Solve: 7x + 8 = 4x + 26. What is x?
17. 17.Solve: m/4 + m/3 = 28. What is m?
18. 18.The sum of four consecutive whole numbers is 86. What is the largest of them?
19. 19.The sum of four consecutive whole numbers is 66. What is the largest of them?
20. 20.Solve: 3y + 4 = 2y + 7. What is y?
21. 21.The sum of two consecutive whole numbers is 37. What is the largest of them?
22. 22.The sum of four consecutive whole numbers is 230. What is the largest of them?
23. 23.Solve: 6(x − 2) = 5x + 12. What is x?
24. 24.Solve: 3(x − 3) = 2x + 11. What is x?
25. 25.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
26. 26.Solve: m/3 + m/5 = 48. What is m?
27. 27.A father is 24 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?
28. 28.The sum of two consecutive whole numbers is 93. What is the smallest of them?
29. 29.Solve: p/4 + p/5 = 63. What is p?
30. 30.Solve: 4p + 9 = 3p + 14. What is p?
31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
32. 32.Solve: p/4 + p/6 = 15. What is p?
33. 33.The sum of four consecutive whole numbers is 94. What is the largest of them?
34. 34.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?
35. 35.Solve: 3(t − 4) = t + 26. What is t?
36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
37. 37.Solve: x/2 + x/4 = 21. What is x?
38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
39. 39.Solve: 3y + 14 = 2y + 18. What is y?
40. 40.A father is 8 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?

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