Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 962 · 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: t/5 + t/6 = 66. What is t?
2. 2.Solve: x/3 + x/6 = 3. What is x?
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.The sum of three consecutive whole numbers is 45. What is the smallest of them?
5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
6. 6.Solve: 4t + 11 = 2t + 31. What is t?
7. 7.Solve: 4(n − 1) = 2n + 18. What is n?
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
11. 11.Solve: 6(m − 3) = m + 22. What is m?
12. 12.A father is 60 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?
13. 13.Solve: p/3 + p/4 = 42. What is p?
14. 14.A father is 14 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?
15. 15.The sum of three consecutive whole numbers is 18. What is the smallest of them?
16. 16.Solve: 4y + 1 = 3y + 4. What is y?
17. 17.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
18. 18.A father is 26 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?
19. 19.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
21. 21.The sum of four consecutive whole numbers is 50. What is the largest of them?
22. 22.Solve: 6(t − 2) = t + 53. What is t?
23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
24. 24.Solve: m/5 + m/6 = 66. What is m?
25. 25.Solve: 6t + 14 = 5t + 18. What is t?
26. 26.Solve: 5(n − 3) = 3n + 19. What is n?
27. 27.A father is 13 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.Solve: 4(x − 1) = 2x + 18. What is x?
29. 29.The sum of four consecutive whole numbers is 174. What is the largest of them?
30. 30.Solve: 4(n − 5) = 3n + 5. What is n?
31. 31.Solve: 3(m − 5) = m + 25. What is m?
32. 32.The sum of three consecutive whole numbers is 21. What is the largest of them?
33. 33.Solve: 6(n − 1) = 3n + 24. What is n?
34. 34.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
35. 35.Solve: 4(x − 4) = x + 8. What is x?
36. 36.The sum of two consecutive whole numbers is 15. What is the smallest of them?
37. 37.The sum of three consecutive whole numbers is 108. What is the largest of them?
38. 38.Solve: 3(t − 2) = t + 22. What is t?
39. 39.A father is 20 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?
40. 40.Solve: n/2 + n/4 = 3. What is n?

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