Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 185 · 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: m/4 + m/2 = 6. What is m?
2. 2.Solve: 6(t − 4) = 3t + 36. What is t?
3. 3.The sum of three consecutive whole numbers is 105. What is the smallest of them?
4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
5. 5.The sum of four consecutive whole numbers is 114. What is the largest of them?
6. 6.Solve: 6(m − 1) = 5m + 1. What is m?
7. 7.The sum of four consecutive whole numbers is 182. What is the smallest of them?
8. 8.Solve: 6(m − 5) = 5m + 1. What is m?
9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
10. 10.Solve: m/6 + m/4 = 15. What is m?
11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
12. 12.Solve: 6(y − 3) = 4y + 22. What is y?
13. 13.A father is 10 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?
14. 14.Solve: 7n + 1 = 6n + 4. What is n?
15. 15.Solve: 3(y − 4) = 2y + 12. What is y?
16. 16.Solve: 8m + 15 = 4m + 55. What is m?
17. 17.A father is 22 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?
18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
20. 20.Solve: x/3 + x/2 = 30. What is x?
21. 21.Solve: 4m + 19 = m + 34. What is m?
22. 22.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 5(t − 1) = 2t + 4. What is t?
24. 24.Solve: 8p + 2 = p + 30. What is p?
25. 25.Solve: 4m + 5 = m + 35. What is m?
26. 26.Solve: x/4 + x/6 = 25. What is x?
27. 27.A father is 28 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?
28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
29. 29.The sum of two consecutive whole numbers is 43. What is the smallest of them?
30. 30.Solve: 3(m − 3) = 2m + 4. What is m?
31. 31.The sum of two consecutive whole numbers is 11. What is the largest of them?
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
33. 33.The sum of two consecutive whole numbers is 115. What is the largest of them?
34. 34.Solve: 5(y − 2) = y + 50. What is y?
35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
36. 36.A father is 12 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?
37. 37.Solve: 9n + 6 = 4n + 61. What is n?
38. 38.Solve: 4(y − 1) = 3y + 7. What is y?
39. 39.The sum of four consecutive whole numbers is 34. What is the smallest of them?
40. 40.Solve: 5(x − 3) = x + 37. What is x?

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