Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 259 · 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: 3y + 10 = 2y + 21. What is y?
2. 2.The sum of two consecutive whole numbers is 87. What is the largest of them?
3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
4. 4.Solve: 4y + 5 = y + 38. What is y?
5. 5.Solve: 4y + 15 = y + 45. What is y?
6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
7. 7.Solve: p/6 + p/2 = 12. What is p?
8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
9. 9.Solve: m/6 + m/4 = 15. What is m?
10. 10.Solve: 4p + 1 = 3p + 9. What is p?
11. 11.Solve: 5(x − 1) = x + 51. What is x?
12. 12.The sum of two consecutive whole numbers is 107. What is the largest of them?
13. 13.A father is 24 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?
14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
15. 15.Solve: 7m + 2 = 4m + 35. What is m?
16. 16.Solve: 6y + 10 = y + 55. What is y?
17. 17.The sum of two consecutive whole numbers is 47. What is the smallest of them?
18. 18.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
19. 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
21. 21.Solve: 4t + 18 = t + 27. What is t?
22. 22.Solve: y/5 + y/2 = 49. What is y?
23. 23.The sum of three consecutive whole numbers is 51. What is the smallest of them?
24. 24.Solve: 4(y − 5) = 2y + 10. What is y?
25. 25.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
26. 26.The sum of three consecutive whole numbers is 183. What is the largest of them?
27. 27.Solve: 9p + 8 = 4p + 43. What is p?
28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
29. 29.Solve: 4(x − 1) = x + 8. What is x?
30. 30.Solve: 8x + 18 = 2x + 36. What is x?
31. 31.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
32. 32.Solve: 6(m − 2) = m + 18. What is m?
33. 33.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
35. 35.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?
36. 36.Solve: 8y + 2 = y + 79. What is y?
37. 37.A father is 54 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
38. 38.A father is 26 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?
39. 39.Solve: 6(t − 3) = 2t + 42. What is t?
40. 40.The sum of two consecutive whole numbers is 75. What is the largest of them?

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