Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 826 · 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: 7m + 9 = 6m + 18. What is m?
2. 2.Solve: y/3 + y/2 = 20. What is y?
3. 3.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
4. 4.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
6. 6.A father is 45 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?
7. 7.Solve: n/6 + n/2 = 20. What is n?
8. 8.The sum of three consecutive whole numbers is 177. What is the smallest of them?
9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
10. 10.Solve: 5(t − 1) = 2t + 7. What is t?
11. 11.Solve: 5p + 10 = p + 58. What is p?
12. 12.A father is 12 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
13. 13.Solve: 3(y − 2) = 2y + 9. What is y?
14. 14.Solve: y/3 + y/5 = 56. What is y?
15. 15.Solve: 5(t − 2) = t + 26. What is t?
16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
17. 17.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?
18. 18.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
19. 19.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?
20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
21. 21.The sum of two consecutive whole numbers is 11. What is the smallest of them?
22. 22.The sum of four consecutive whole numbers is 34. What is the smallest of them?
23. 23.Solve: 5y + 20 = y + 56. What is y?
24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
25. 25.Solve: 7n + 18 = 6n + 26. What is n?
26. 26.The sum of four consecutive whole numbers is 134. What is the smallest of them?
27. 27.The sum of two consecutive whole numbers is 35. What is the smallest of them?
28. 28.Solve: 6x + 13 = 4x + 29. What is x?
29. 29.Solve: p/2 + p/3 = 15. What is p?
30. 30.Solve: m/5 + m/4 = 63. What is m?
31. 31.Solve: 6(y − 1) = 3y + 24. What is y?
32. 32.A father is 26 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?
33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
34. 34.The sum of four consecutive whole numbers is 66. What is the smallest of them?
35. 35.The sum of four consecutive whole numbers is 90. What is the largest of them?
36. 36.Solve: 7t + 8 = 4t + 17. What is t?
37. 37.Solve: 4(p − 5) = 2p + 10. What is p?
38. 38.Solve: 5x + 5 = 4x + 10. What is x?
39. 39.Solve: 7x + 3 = 6x + 6. What is x?
40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?

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