Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 928 · 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: 4x + 20 = x + 65. What is x?
2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
4. 4.The sum of four consecutive whole numbers is 70. What is the smallest of them?
5. 5.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: t/5 + t/6 = 11. What is t?
7. 7.A father is 39 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?
8. 8.The sum of four consecutive whole numbers is 58. What is the smallest of them?
9. 9.The sum of three consecutive whole numbers is 129. What is the largest of them?
10. 10.The sum of four consecutive whole numbers is 166. What is the largest of them?
11. 11.Solve: 3(x − 2) = x + 24. What is x?
12. 12.Solve: 5(p − 2) = 2p + 8. What is p?
13. 13.Solve: 3t + 9 = 2t + 15. What is t?
14. 14.Solve: x/5 + x/4 = 36. What is x?
15. 15.A father is 36 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?
16. 16.Solve: 3(y − 3) = y + 1. What is y?
17. 17.The sum of two consecutive whole numbers is 29. What is the smallest of them?
18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
19. 19.The sum of four consecutive whole numbers is 94. What is the smallest of them?
20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
21. 21.Solve: 3n + 19 = 2n + 22. What is n?
22. 22.The sum of four consecutive whole numbers is 194. What is the smallest of them?
23. 23.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 3p + 5 = p + 15. What is p?
25. 25.Solve: 8p + 1 = 3p + 66. What is p?
26. 26.Solve: y/3 + y/2 = 15. What is y?
27. 27.Solve: t/5 + t/2 = 28. What is t?
28. 28.Solve: 9x + 10 = 7x + 36. What is x?
29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
30. 30.Solve: 4x + 17 = x + 20. What is x?
31. 31.Solve: 5(p − 2) = 2p + 32. What is p?
32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
33. 33.The sum of three consecutive whole numbers is 174. What is the largest of them?
34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
35. 35.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?
36. 36.Solve: y/3 + y/5 = 48. What is y?
37. 37.A father is 30 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?
38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
39. 39.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?
40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?

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