Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 51 · 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.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
2. 2.Solve: m/2 + m/6 = 16. What is m?
3. 3.Solve: 8t + 17 = 5t + 50. What is t?
4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
5. 5.Solve: 6(p − 2) = 4p + 4. What is p?
6. 6.A father is 12 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?
7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
8. 8.Solve: 5(y − 4) = 2y + 19. What is y?
9. 9.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
11. 11.The sum of two consecutive whole numbers is 47. What is the largest of them?
12. 12.Solve: 3m + 14 = 2m + 18. What is m?
13. 13.Solve: 3x + 16 = x + 22. What is x?
14. 14.Solve: 8x + 6 = 4x + 26. What is x?
15. 15.Solve: y/2 + y/4 = 6. What is y?
16. 16.Solve: 3x + 19 = 2x + 22. What is x?
17. 17.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?
18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
19. 19.Solve: 6y + 20 = 3y + 47. What is y?
20. 20.A father is 54 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?
21. 21.Solve: 8x + 4 = 6x + 24. What is x?
22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
23. 23.Solve: 6(t − 5) = t + 15. What is t?
24. 24.Solve: n/5 + n/3 = 32. What is n?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
26. 26.The sum of three consecutive whole numbers is 42. What is the smallest of them?
27. 27.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
28. 28.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?
29. 29.Solve: 9n + 19 = 7n + 27. What is n?
30. 30.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?
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
32. 32.Solve: 3(y − 1) = 2y + 5. What is y?
33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
34. 34.Solve: 8y + 17 = 5y + 41. What is y?
35. 35.A father is 34 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?
36. 36.Solve: y/4 + y/6 = 5. What is y?
37. 37.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 4m + 1 = m + 25. What is m?
39. 39.The sum of four consecutive whole numbers is 94. What is the smallest of them?
40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?

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