Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 14 · 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: 4(y − 5) = 2y + 2. What is y?
2. 2.Solve: m/3 + m/5 = 32. What is m?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
4. 4.The sum of two consecutive whole numbers is 53. What is the largest of them?
5. 5.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
6. 6.A father is 36 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?
7. 7.Solve: 3y + 13 = y + 37. What is y?
8. 8.The sum of three consecutive whole numbers is 21. What is the largest of them?
9. 9.The sum of two consecutive whole numbers is 81. What is the largest of them?
10. 10.Solve: 6(m − 1) = 4m + 24. What is m?
11. 11.Solve: 8m + 5 = 2m + 17. What is m?
12. 12.Solve: 3(n − 5) = n + 15. What is n?
13. 13.Solve: 5(m − 4) = 2m + 13. What is m?
14. 14.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
16. 16.Solve: 5(m − 5) = 3m + 19. What is m?
17. 17.Solve: y/5 + y/2 = 28. What is y?
18. 18.Solve: 3y + 2 = y + 8. What is y?
19. 19.Solve: m/6 + m/4 = 35. What is m?
20. 20.Solve: 5(x − 2) = 4x + 12. What is x?
21. 21.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
22. 22.The sum of two consecutive whole numbers is 73. What is the largest of them?
23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
24. 24.A father is 33 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?
25. 25.Solve: 4y + 5 = 2y + 13. What is y?
26. 26.The sum of four consecutive whole numbers is 178. What is the largest of them?
27. 27.Solve: 7n + 12 = n + 78. What is n?
28. 28.Solve: x/4 + x/3 = 7. What is x?
29. 29.The sum of two consecutive whole numbers is 69. What is the smallest of them?
30. 30.A father is 28 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?
31. 31.Solve: y/2 + y/3 = 40. What is y?
32. 32.A father is 15 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?
33. 33.A father is 45 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?
34. 34.Solve: 4x + 17 = 3x + 20. What is x?
35. 35.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?
36. 36.A father is 12 years older than his son. In 8 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 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
38. 38.Solve: 8t + 11 = 6t + 25. What is t?
39. 39.A father is 26 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?
40. 40.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?

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