Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 901 · 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 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
2. 2.The sum of four consecutive whole numbers is 134. What is the smallest of them?
3. 3.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
4. 4.A father is 24 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?
5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
6. 6.The sum of two consecutive whole numbers is 101. What is the largest of them?
7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
8. 8.Solve: 7y + 4 = 4y + 28. What is y?
9. 9.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
10. 10.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?
11. 11.The sum of three consecutive whole numbers is 60. What is the largest of them?
12. 12.Solve: 3(y − 2) = y + 18. What is y?
13. 13.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
14. 14.A father is 39 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?
15. 15.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
16. 16.Solve: 6(x − 4) = 2x + 52. What is x?
17. 17.The sum of three consecutive whole numbers is 168. What is the largest of them?
18. 18.A father is 22 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?
19. 19.A father is 38 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?
20. 20.The sum of two consecutive whole numbers is 103. What is the largest of them?
21. 21.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: 8t + 10 = 4t + 38. What is t?
23. 23.Solve: 4(y − 3) = y + 33. What is y?
24. 24.Solve: 6(m − 4) = 5m + 9. What is m?
25. 25.The sum of three consecutive whole numbers is 144. What is the smallest of them?
26. 26.Solve: 5n + 8 = 3n + 20. What is n?
27. 27.Solve: 3m + 13 = m + 33. What is m?
28. 28.Solve: m/4 + m/3 = 14. What is m?
29. 29.Solve: 3m + 2 = m + 16. What is m?
30. 30.The sum of two consecutive whole numbers is 101. What is the smallest of them?
31. 31.Solve: m/2 + m/3 = 15. What is m?
32. 32.The sum of two consecutive whole numbers is 59. What is the largest of them?
33. 33.Solve: 4(n − 3) = 3n + 13. What is n?
34. 34.The sum of two consecutive whole numbers is 39. What is the smallest of them?
35. 35.Solve: 3(y − 4) = 2y + 3. What is y?
36. 36.Solve: 3x + 8 = x + 28. What is x?
37. 37.The sum of four consecutive whole numbers is 198. What is the smallest of them?
38. 38.Solve: 6p + 5 = 5p + 7. What is p?
39. 39.The sum of four consecutive whole numbers is 86. What is the smallest of them?
40. 40.The sum of two consecutive whole numbers is 25. What is the smallest of them?

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