Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 893 · 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: 4t + 5 = 2t + 19. What is t?
2. 2.Solve: 9p + 10 = 3p + 16. What is p?
3. 3.Solve: 6(y − 3) = 5y + 7. What is y?
4. 4.The sum of four consecutive whole numbers is 234. What is the largest of them?
5. 5.Solve: 7y + 19 = 4y + 61. What is y?
6. 6.Solve: 4(p − 4) = p + 26. What is p?
7. 7.Solve: 8t + 5 = 2t + 59. What is t?
8. 8.The sum of four consecutive whole numbers is 186. What is the largest of them?
9. 9.The sum of two consecutive whole numbers is 47. What is the largest of them?
10. 10.Solve: 6x + 14 = 4x + 44. What is x?
11. 11.Solve: m/3 + m/6 = 24. What is m?
12. 12.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?
13. 13.The sum of two consecutive whole numbers is 29. What is the largest of them?
14. 14.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
15. 15.The sum of four consecutive whole numbers is 50. What is the smallest of them?
16. 16.Solve: 3y + 4 = 2y + 10. What is y?
17. 17.The sum of three consecutive whole numbers is 123. What is the largest of them?
18. 18.A father is 26 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?
19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
20. 20.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?
21. 21.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
22. 22.A father is 36 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?
23. 23.Solve: 4t + 7 = 3t + 8. What is t?
24. 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
25. 25.Solve: 7y + 1 = y + 7. What is y?
26. 26.Solve: 6(n − 1) = 5n + 4. What is n?
27. 27.The sum of four consecutive whole numbers is 202. What is the smallest of them?
28. 28.Solve: 3n + 14 = n + 18. What is n?
29. 29.The sum of four consecutive whole numbers is 26. What is the smallest of them?
30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
31. 31.Solve: p/6 + p/4 = 10. What is p?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
33. 33.Solve: 3(x − 1) = x + 25. What is x?
34. 34.A father is 15 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
35. 35.The sum of two consecutive whole numbers is 25. What is the smallest of them?
36. 36.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
38. 38.Solve: n/5 + n/2 = 42. What is n?
39. 39.Solve: p/4 + p/5 = 36. What is p?
40. 40.Solve: 4m + 3 = 2m + 17. What is m?

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