Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 557 · 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.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
2. 2.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
3. 3.Solve: x/3 + x/4 = 21. What is x?
4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
5. 5.Solve: 4m + 10 = m + 19. What is m?
6. 6.Solve: 4(n − 1) = 3n + 10. What is n?
7. 7.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?
8. 8.Solve: 3(y − 3) = y + 5. What is y?
9. 9.The sum of three consecutive whole numbers is 153. What is the smallest of them?
10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
11. 11.The sum of three consecutive whole numbers is 159. What is the largest of them?
12. 12.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
13. 13.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
14. 14.Solve: 5(m − 4) = 3m + 16. What is m?
15. 15.Solve: 7x + 12 = 4x + 48. What is x?
16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
17. 17.The sum of four consecutive whole numbers is 122. What is the smallest of them?
18. 18.A father is 28 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?
19. 19.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?
20. 20.Solve: 6(p − 5) = 2p + 18. What is p?
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
22. 22.Solve: 6m + 15 = 4m + 35. What is m?
23. 23.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 4(y − 1) = 3y + 6. What is y?
25. 25.Solve: 7y + 2 = 4y + 20. What is y?
26. 26.Solve: 4t + 12 = 2t + 14. What is t?
27. 27.Solve: m/6 + m/5 = 22. What is m?
28. 28.Solve: 3(n − 2) = 2n + 4. What is n?
29. 29.Solve: 4x + 2 = x + 47. What is x?
30. 30.The sum of four consecutive whole numbers is 58. What is the smallest of them?
31. 31.The sum of two consecutive whole numbers is 119. What is the largest of them?
32. 32.Solve: 4(y − 1) = y + 2. What is y?
33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
35. 35.Solve: 5(n − 1) = 3n + 23. What is n?
36. 36.Solve: 6p + 15 = 5p + 21. What is p?
37. 37.The sum of three consecutive whole numbers is 63. What is the largest of them?
38. 38.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
39. 39.Solve: x/6 + x/2 = 28. What is x?
40. 40.Solve: 4t + 13 = t + 16. What is t?

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