Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 562 · 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: 6m + 15 = 2m + 47. What is m?
2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
3. 3.The sum of two consecutive whole numbers is 21. What is the largest of them?
4. 4.Solve: 9n + 11 = n + 75. What is n?
5. 5.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
6. 6.Solve: x/3 + x/5 = 48. What is x?
7. 7.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
8. 8.The sum of three consecutive whole numbers is 141. What is the largest of them?
9. 9.A father is 27 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
10. 10.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
12. 12.Solve: 5(x − 1) = x + 7. What is x?
13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
14. 14.The sum of three consecutive whole numbers is 69. What is the largest of them?
15. 15.Solve: p/3 + p/5 = 8. What is p?
16. 16.The sum of three consecutive whole numbers is 147. What is the largest of them?
17. 17.Solve: x/6 + x/2 = 32. What is x?
18. 18.Solve: t/5 + t/4 = 27. What is t?
19. 19.Solve: t/2 + t/6 = 32. What is t?
20. 20.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: x/2 + x/4 = 24. What is x?
22. 22.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
23. 23.The sum of three consecutive whole numbers is 183. What is the smallest of them?
24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
26. 26.Solve: 6(x − 4) = 5x + 4. What is x?
27. 27.A father is 30 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.Solve: 8t + 4 = t + 60. What is t?
29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
30. 30.Solve: 6t + 12 = 3t + 24. What is t?
31. 31.Solve: 3(p − 1) = 2p + 3. What is p?
32. 32.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
33. 33.Solve: x/4 + x/6 = 35. What is x?
34. 34.Solve: 8x + 10 = 2x + 34. What is x?
35. 35.Solve: 9t + 3 = 7t + 7. What is t?
36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
37. 37.Solve: 3(p − 2) = 2p + 1. What is p?
38. 38.Solve: 5(t − 2) = 2t + 26. What is t?
39. 39.Solve: x/4 + x/5 = 54. What is x?
40. 40.Solve: 4(m − 5) = m + 16. What is m?

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