Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 584 · 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(y − 2) = 3y + 8. What is y?
2. 2.Solve: y/4 + y/5 = 54. What is y?
3. 3.A father is 16 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?
4. 4.Solve: 4(t − 1) = 3t + 11. What is t?
5. 5.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
6. 6.Solve: 8p + 7 = 2p + 97. What is p?
7. 7.Solve: 8t + 15 = 7t + 16. What is t?
8. 8.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
9. 9.Solve: 8x + 6 = 2x + 24. What is x?
10. 10.Solve: m/3 + m/5 = 16. What is m?
11. 11.Solve: 6(y − 2) = 2y + 12. What is y?
12. 12.Solve: 6p + 16 = 4p + 36. What is p?
13. 13.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?
14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
15. 15.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
16. 16.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: x/2 + x/5 = 56. What is x?
18. 18.The sum of four consecutive whole numbers is 90. What is the smallest of them?
19. 19.Solve: y/5 + y/6 = 22. What is y?
20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
21. 21.Solve: x/6 + x/2 = 32. What is x?
22. 22.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 3(y − 4) = 2y + 2. What is y?
24. 24.The sum of two consecutive whole numbers is 115. What is the smallest of them?
25. 25.Solve: 3(m − 1) = 2m + 13. What is m?
26. 26.A father is 48 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?
27. 27.Solve: 5m + 13 = 2m + 25. What is m?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
29. 29.A father is 7 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.The sum of two consecutive whole numbers is 109. What is the smallest of them?
31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
33. 33.Solve: 3y + 17 = 2y + 29. What is y?
34. 34.Solve: 4(m − 1) = 2m + 4. What is m?
35. 35.The sum of four consecutive whole numbers is 186. What is the smallest of them?
36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
37. 37.Solve: 3(y − 2) = y + 18. What is y?
38. 38.The sum of four consecutive whole numbers is 126. What is the largest of them?
39. 39.Solve: m/6 + m/5 = 44. What is m?
40. 40.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?

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