Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 946 · 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: x/2 + x/4 = 12. What is x?
2. 2.Solve: 6(m − 1) = 3m + 6. What is m?
3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
4. 4.Solve: 6(m − 4) = 3m + 3. What is m?
5. 5.Solve: x/5 + x/3 = 24. What is x?
6. 6.Solve: 4x + 7 = 2x + 33. What is x?
7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
8. 8.Solve: 9y + 6 = 5y + 50. What is y?
9. 9.Solve: 5(p − 5) = 2p + 29. What is p?
10. 10.Solve: m/5 + m/4 = 54. What is m?
11. 11.A father is 45 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?
12. 12.Solve: y/3 + y/6 = 18. What is y?
13. 13.Solve: 9y + 4 = 4y + 49. What is y?
14. 14.A father is 34 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?
15. 15.Solve: 9m + 10 = 6m + 43. What is m?
16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
17. 17.Solve: 3(m − 3) = m + 15. What is m?
18. 18.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
19. 19.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
20. 20.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
21. 21.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
23. 23.Solve: p/4 + p/6 = 10. What is p?
24. 24.The sum of two consecutive whole numbers is 93. What is the largest of them?
25. 25.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
26. 26.Solve: 4(t − 5) = 3t + 5. What is t?
27. 27.Solve: 5n + 2 = 2n + 14. What is n?
28. 28.Solve: 3m + 3 = m + 11. What is m?
29. 29.Solve: 4(n − 3) = 3n + 8. What is n?
30. 30.The sum of four consecutive whole numbers is 234. What is the largest of them?
31. 31.A father is 32 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?
32. 32.Solve: 5(t − 4) = 3t + 6. What is t?
33. 33.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
34. 34.Solve: y/6 + y/5 = 22. What is y?
35. 35.Solve: 6(m − 3) = m + 7. What is m?
36. 36.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
37. 37.Solve: n/5 + n/6 = 11. What is n?
38. 38.A father is 14 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?
39. 39.Solve: 4(y − 1) = 3y + 7. What is y?
40. 40.The sum of two consecutive whole numbers is 37. What is the smallest of them?

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