Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 352 · 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: 5(t − 4) = 2t + 19. What is t?
2. 2.The sum of two consecutive whole numbers is 23. What is the smallest of them?
3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
4. 4.A father is 36 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?
5. 5.A father is 24 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?
6. 6.Solve: 5(x − 1) = 2x + 22. What is x?
7. 7.Solve: 5(y − 1) = 3y + 7. What is y?
8. 8.Solve: 5p + 17 = p + 77. What is p?
9. 9.Solve: 3m + 9 = m + 11. What is m?
10. 10.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?
11. 11.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?
12. 12.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 5t + 18 = t + 30. What is t?
14. 14.Solve: x/2 + x/3 = 20. What is x?
15. 15.Solve: 7t + 3 = t + 75. What is t?
16. 16.Solve: y/3 + y/4 = 14. What is y?
17. 17.Solve: 6(t − 2) = 4t + 14. What is t?
18. 18.Solve: x/5 + x/6 = 77. What is x?
19. 19.A father is 33 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?
20. 20.A father is 18 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?
21. 21.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?
22. 22.A father is 21 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?
23. 23.Solve: y/6 + y/5 = 11. What is y?
24. 24.Solve: n/6 + n/2 = 16. What is n?
25. 25.Solve: m/3 + m/6 = 3. What is m?
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
27. 27.Solve: t/6 + t/4 = 35. What is t?
28. 28.The sum of three consecutive whole numbers is 63. What is the largest of them?
29. 29.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
30. 30.Solve: 4t + 8 = t + 26. What is t?
31. 31.Solve: 5(n − 5) = 3n + 9. What is n?
32. 32.A father is 39 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?
33. 33.A father is 26 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?
34. 34.Solve: 9y + 13 = 2y + 55. What is y?
35. 35.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
36. 36.Solve: 6(y − 3) = y + 27. What is y?
37. 37.Solve: 5x + 14 = x + 58. What is x?
38. 38.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
39. 39.Solve: y/6 + y/3 = 12. What is y?
40. 40.Solve: 6m + 16 = 3m + 34. What is m?

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