Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 466 · 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 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
2. 2.Solve: 3n + 19 = 2n + 30. What is n?
3. 3.The sum of three consecutive whole numbers is 150. What is the largest of them?
4. 4.Solve: 7p + 18 = 4p + 48. What is p?
5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
6. 6.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
7. 7.Solve: y/5 + y/2 = 28. What is y?
8. 8.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
9. 9.A father is 51 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?
10. 10.The sum of three consecutive whole numbers is 48. What is the largest of them?
11. 11.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
13. 13.Solve: 8m + 4 = 6m + 16. What is m?
14. 14.Solve: 7n + 1 = n + 37. What is n?
15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
16. 16.The sum of three consecutive whole numbers is 162. What is the smallest of them?
17. 17.Solve: m/5 + m/3 = 64. What is m?
18. 18.Solve: 3(y − 2) = 2y + 9. What is y?
19. 19.Solve: 6(m − 1) = m + 24. What is m?
20. 20.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
21. 21.Solve: 6(x − 5) = 4x + 14. What is x?
22. 22.Solve: 4(n − 3) = n + 12. What is n?
23. 23.Solve: y/3 + y/2 = 30. What is y?
24. 24.Solve: p/3 + p/5 = 32. What is p?
25. 25.Solve: 5(m − 2) = 2m + 26. What is m?
26. 26.Solve: 5(y − 4) = 2y + 37. What is y?
27. 27.The sum of three consecutive whole numbers is 24. What is the smallest of them?
28. 28.The sum of four consecutive whole numbers is 102. What is the largest of them?
29. 29.The sum of four consecutive whole numbers is 210. What is the smallest of them?
30. 30.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
31. 31.Solve: 3(m − 5) = m + 9. What is m?
32. 32.Solve: 6t + 5 = t + 60. What is t?
33. 33.Solve: m/3 + m/6 = 15. What is m?
34. 34.The sum of four consecutive whole numbers is 198. What is the smallest of them?
35. 35.Solve: 7m + 16 = 2m + 71. What is m?
36. 36.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
38. 38.The sum of three consecutive whole numbers is 39. What is the largest of them?
39. 39.A father is 12 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?
40. 40.Solve: 5t + 9 = t + 29. What is t?

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