Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 881 · 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: 3p + 20 = p + 26. What is p?
2. 2.Solve: 7x + 14 = 6x + 24. What is x?
3. 3.Solve: 5t + 7 = 2t + 49. What is t?
4. 4.Solve: 7n + 6 = 4n + 36. What is n?
5. 5.Solve: x/4 + x/6 = 40. What is x?
6. 6.Solve: 4(p − 4) = 2p + 10. What is p?
7. 7.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
8. 8.A father is 18 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
9. 9.Solve: 5m + 16 = 2m + 43. What is m?
10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
11. 11.The sum of two consecutive whole numbers is 43. What is the largest of them?
12. 12.Solve: 6(n − 4) = 3n + 21. What is n?
13. 13.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
15. 15.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
16. 16.Solve: 6y + 7 = 4y + 15. What is y?
17. 17.Solve: 4t + 2 = t + 20. What is t?
18. 18.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
19. 19.The sum of three consecutive whole numbers is 177. What is the smallest of them?
20. 20.A father is 18 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
21. 21.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: p/3 + p/5 = 24. What is p?
23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
24. 24.Solve: 4(y − 5) = 3y + 12. What is y?
25. 25.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
26. 26.Solve: y/3 + y/4 = 14. What is y?
27. 27.The sum of three consecutive whole numbers is 66. What is the largest of them?
28. 28.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
29. 29.The sum of two consecutive whole numbers is 11. What is the smallest of them?
30. 30.Solve: 4t + 13 = 2t + 29. What is t?
31. 31.Solve: 6(x − 4) = 3x + 15. What is x?
32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
33. 33.Solve: 4n + 6 = 3n + 21. What is n?
34. 34.Solve: 4x + 19 = 3x + 26. What is x?
35. 35.Solve: p/6 + p/2 = 32. What is p?
36. 36.Solve: 4(m − 4) = 3m + 1. What is m?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
38. 38.Solve: 3(n − 2) = n + 24. What is n?
39. 39.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
40. 40.Solve: p/5 + p/3 = 56. What is p?

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