Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 853 · 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.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?
2. 2.A father is 20 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?
3. 3.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?
4. 4.Solve: 9m + 10 = 7m + 36. What is m?
5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
6. 6.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 4(x − 3) = x + 6. What is x?
8. 8.Solve: 4(m − 2) = 3m + 4. What is m?
9. 9.Solve: 5(x − 1) = x + 7. What is x?
10. 10.Solve: 8t + 16 = 6t + 26. What is t?
11. 11.Solve: 8t + 5 = 7t + 8. What is t?
12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
13. 13.Solve: 4(y − 5) = y + 1. What is y?
14. 14.The sum of two consecutive whole numbers is 77. What is the largest of them?
15. 15.Solve: y/6 + y/2 = 28. What is y?
16. 16.A father is 26 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?
17. 17.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
18. 18.A father is 24 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?
19. 19.The sum of three consecutive whole numbers is 162. What is the smallest of them?
20. 20.Solve: 5(y − 2) = y + 30. What is y?
21. 21.Solve: 4p + 14 = p + 17. What is p?
22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
23. 23.The sum of two consecutive whole numbers is 17. What is the largest of them?
24. 24.Solve: 4m + 8 = 2m + 36. What is m?
25. 25.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
27. 27.Solve: 4(m − 1) = 3m + 10. What is m?
28. 28.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?
29. 29.Solve: m/6 + m/3 = 3. What is m?
30. 30.The sum of two consecutive whole numbers is 89. What is the largest of them?
31. 31.The sum of four consecutive whole numbers is 134. What is the smallest of them?
32. 32.Solve: p/6 + p/4 = 30. What is p?
33. 33.Solve: 3(n − 4) = n + 10. What is n?
34. 34.Solve: 4(n − 5) = n + 4. What is n?
35. 35.The sum of three consecutive whole numbers is 48. What is the smallest of them?
36. 36.Solve: 3(n − 2) = n + 12. What is n?
37. 37.Solve: 5y + 20 = y + 80. What is y?
38. 38.Solve: x/5 + x/2 = 7. What is x?
39. 39.Solve: t/4 + t/2 = 12. What is t?
40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?

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