Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 735 · 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 130 cm. What is its width (in cm)?
2. 2.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?
3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
4. 4.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: 3n + 9 = n + 27. What is n?
6. 6.The sum of four consecutive whole numbers is 30. What is the largest of them?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
8. 8.Solve: y/2 + y/6 = 8. What is y?
9. 9.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?
10. 10.Solve: 6(x − 3) = 5x + 9. What is x?
11. 11.Solve: 7p + 8 = 6p + 9. What is p?
12. 12.Solve: 5(x − 4) = 4x + 8. What is x?
13. 13.Solve: 6(x − 4) = 3x + 33. What is x?
14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
15. 15.The sum of two consecutive whole numbers is 113. What is the smallest of them?
16. 16.The sum of three consecutive whole numbers is 87. What is the largest of them?
17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
19. 19.Solve: x/6 + x/4 = 40. What is x?
20. 20.The sum of three consecutive whole numbers is 93. What is the largest of them?
21. 21.Solve: 9n + 19 = 3n + 37. What is n?
22. 22.Solve: 4(p − 4) = 2p + 2. What is p?
23. 23.Solve: 5(x − 4) = 2x + 1. What is x?
24. 24.Solve: 6(m − 3) = 5m + 9. What is m?
25. 25.Solve: 4(y − 1) = 2y + 14. What is y?
26. 26.Solve: 4(m − 1) = 3m + 3. What is m?
27. 27.Solve: 3t + 9 = 2t + 22. What is t?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
29. 29.Solve: 3(t − 1) = t + 3. What is t?
30. 30.Solve: 6(p − 5) = 3p + 3. What is p?
31. 31.Solve: x/2 + x/5 = 21. What is x?
32. 32.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?
33. 33.The sum of three consecutive whole numbers is 48. What is the smallest of them?
34. 34.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
35. 35.Solve: 6n + 7 = 5n + 11. What is n?
36. 36.Solve: 6(x − 5) = 3x + 6. What is x?
37. 37.A father is 21 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?
38. 38.Solve: 4(x − 2) = 3x + 1. What is x?
39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
40. 40.Solve: 3(x − 2) = 2x + 8. What is x?

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