Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 524 · 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 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
2. 2.The sum of three consecutive whole numbers is 27. What is the smallest of them?
3. 3.Solve: x/2 + x/4 = 3. What is x?
4. 4.Solve: 4(t − 2) = 2t + 14. What is t?
5. 5.A father is 42 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
6. 6.The sum of four consecutive whole numbers is 198. What is the smallest of them?
7. 7.Solve: 3x + 14 = x + 40. What is x?
8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
10. 10.Solve: 4p + 20 = 2p + 40. What is p?
11. 11.Solve: 9p + 11 = 6p + 56. What is p?
12. 12.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?
13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
14. 14.A father is 12 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?
15. 15.The sum of two consecutive whole numbers is 29. What is the largest of them?
16. 16.Solve: 4(n − 1) = 2n + 26. What is n?
17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
18. 18.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
20. 20.Solve: m/2 + m/4 = 6. What is m?
21. 21.Solve: 4m + 8 = m + 38. What is m?
22. 22.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
23. 23.Solve: p/3 + p/6 = 21. What is p?
24. 24.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
25. 25.Solve: t/5 + t/2 = 28. What is t?
26. 26.Solve: 6p + 20 = 3p + 56. What is p?
27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
28. 28.Solve: 5(n − 1) = 2n + 13. What is n?
29. 29.Solve: 6n + 7 = n + 42. What is n?
30. 30.Solve: 7y + 5 = 3y + 25. What is y?
31. 31.The sum of three consecutive whole numbers is 153. What is the largest of them?
32. 32.The sum of two consecutive whole numbers is 65. What is the largest of them?
33. 33.Solve: m/2 + m/5 = 28. What is m?
34. 34.The sum of two consecutive whole numbers is 15. What is the smallest of them?
35. 35.Solve: 3(t − 1) = 2t + 13. What is t?
36. 36.Solve: 4(t − 4) = t + 35. What is t?
37. 37.Solve: 4n + 13 = n + 16. What is n?
38. 38.Solve: 9t + 12 = t + 68. What is t?
39. 39.Solve: t/6 + t/2 = 16. What is t?
40. 40.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?

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