Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 938 · 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 length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
2. 2.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
3. 3.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 5m + 12 = 3m + 18. What is m?
5. 5.A father is 39 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
6. 6.Solve: 4x + 16 = 2x + 34. What is x?
7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
8. 8.A father is 22 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: t/6 + t/4 = 40. What is t?
10. 10.Solve: 3x + 12 = 2x + 24. What is x?
11. 11.A father is 12 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?
12. 12.Solve: 5x + 18 = x + 42. What is x?
13. 13.Solve: 4(x − 1) = x + 14. What is x?
14. 14.Solve: y/3 + y/2 = 35. What is y?
15. 15.A father is 26 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
16. 16.Solve: 6p + 3 = 5p + 9. What is p?
17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
18. 18.Solve: 4(m − 5) = m + 13. What is m?
19. 19.Solve: 5x + 2 = 3x + 12. What is x?
20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
22. 22.A father is 38 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?
23. 23.The sum of three consecutive whole numbers is 57. What is the smallest of them?
24. 24.Solve: 3(y − 3) = 2y + 9. What is y?
25. 25.Solve: m/3 + m/5 = 64. What is m?
26. 26.The sum of four consecutive whole numbers is 238. What is the smallest of them?
27. 27.Solve: n/6 + n/2 = 24. What is n?
28. 28.Solve: y/6 + y/4 = 10. What is y?
29. 29.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
30. 30.Solve: 3(t − 1) = t + 5. What is t?
31. 31.Solve: 4(p − 3) = 2p + 8. What is p?
32. 32.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
34. 34.Solve: 5(p − 3) = 4p + 5. What is p?
35. 35.Solve: 8m + 9 = m + 30. What is m?
36. 36.The sum of two consecutive whole numbers is 29. What is the largest of them?
37. 37.A father is 21 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: 3p + 5 = 2p + 14. What is p?
39. 39.Solve: p/6 + p/2 = 20. What is p?
40. 40.The sum of three consecutive whole numbers is 174. What is the smallest of them?

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