Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 803 · 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: p/3 + p/2 = 15. What is p?
2. 2.Solve: 4t + 11 = t + 41. What is t?
3. 3.The sum of three consecutive whole numbers is 96. What is the smallest of them?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
5. 5.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?
6. 6.Solve: 6(n − 1) = 4n + 20. What is n?
7. 7.A father is 27 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?
8. 8.The sum of three consecutive whole numbers is 27. What is the smallest of them?
9. 9.The sum of two consecutive whole numbers is 67. What is the largest of them?
10. 10.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
11. 11.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
12. 12.Solve: 3n + 10 = n + 34. What is n?
13. 13.Solve: 3m + 17 = 2m + 31. What is m?
14. 14.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
15. 15.A father is 16 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?
16. 16.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
17. 17.Solve: 6x + 2 = 5x + 14. What is x?
18. 18.Solve: 5n + 10 = 3n + 22. What is n?
19. 19.Solve: 6(x − 4) = 5x + 2. What is x?
20. 20.The sum of three consecutive whole numbers is 111. What is the largest of them?
21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
22. 22.A father is 48 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?
23. 23.The sum of four consecutive whole numbers is 178. What is the smallest of them?
24. 24.A father is 51 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?
25. 25.Solve: m/6 + m/3 = 12. What is m?
26. 26.The sum of three consecutive whole numbers is 87. What is the smallest of them?
27. 27.Solve: 8p + 5 = 6p + 15. What is p?
28. 28.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?
29. 29.The sum of two consecutive whole numbers is 69. What is the largest of them?
30. 30.A father is 33 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?
31. 31.Solve: t/5 + t/2 = 35. What is t?
32. 32.Solve: 4p + 8 = p + 23. What is p?
33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
34. 34.The sum of two consecutive whole numbers is 93. What is the smallest of them?
35. 35.Solve: 3(y − 4) = y + 10. What is y?
36. 36.Solve: t/3 + t/4 = 21. What is t?
37. 37.Solve: 4(t − 2) = t + 25. What is t?
38. 38.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?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
40. 40.Solve: 3p + 1 = 2p + 11. What is p?

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