Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 798 · 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.The sum of four consecutive whole numbers is 102. What is the largest of them?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
3. 3.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
4. 4.Solve: 4(m − 5) = 2m + 8. What is m?
5. 5.Solve: 4(x − 1) = 3x + 8. What is x?
6. 6.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 4p + 4 = 2p + 24. What is p?
8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
9. 9.Solve: 3(t − 1) = 2t + 11. What is t?
10. 10.Solve: x/4 + x/5 = 9. What is x?
11. 11.Solve: 5p + 15 = 2p + 45. What is p?
12. 12.Solve: 3y + 15 = y + 45. What is y?
13. 13.Solve: n/5 + n/2 = 14. What is n?
14. 14.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
15. 15.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?
16. 16.Solve: 3(m − 3) = m + 1. What is m?
17. 17.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
18. 18.The sum of four consecutive whole numbers is 54. What is the smallest of them?
19. 19.Solve: 5(t − 1) = 4t + 5. What is t?
20. 20.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
21. 21.Solve: 4m + 18 = 2m + 44. What is m?
22. 22.A father is 24 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?
23. 23.Solve: 5(p − 4) = 2p + 25. What is p?
24. 24.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
25. 25.The sum of four consecutive whole numbers is 66. What is the largest of them?
26. 26.A father is 32 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?
27. 27.The sum of two consecutive whole numbers is 29. What is the smallest of them?
28. 28.Solve: 7y + 9 = 5y + 15. What is y?
29. 29.Solve: 5t + 20 = t + 28. What is t?
30. 30.Solve: x/5 + x/2 = 42. What is x?
31. 31.A father is 39 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?
32. 32.Solve: t/3 + t/5 = 40. What is t?
33. 33.Solve: 7t + 19 = 6t + 32. What is t?
34. 34.A father is 27 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?
35. 35.Solve: 4(p − 4) = 3p + 4. What is p?
36. 36.The sum of three consecutive whole numbers is 117. What is the smallest of them?
37. 37.A father is 9 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?
38. 38.Solve: 5(t − 1) = t + 7. What is t?
39. 39.The sum of three consecutive whole numbers is 120. What is the smallest of them?
40. 40.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?

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