Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 755 · 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: 3y + 5 = 2y + 17. What is y?
2. 2.Solve: 4(n − 5) = n + 37. What is n?
3. 3.The sum of four consecutive whole numbers is 194. What is the smallest of them?
4. 4.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
6. 6.Solve: 4y + 11 = 3y + 17. What is y?
7. 7.Solve: 3(m − 5) = 2m + 12. What is m?
8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
9. 9.A father is 42 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?
10. 10.Solve: 3(p − 5) = p + 9. What is p?
11. 11.Solve: 5(y − 4) = y + 44. What is y?
12. 12.Solve: x/5 + x/3 = 48. What is x?
13. 13.A father is 20 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?
14. 14.Solve: n/3 + n/2 = 10. What is n?
15. 15.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
16. 16.Solve: y/5 + y/3 = 24. What is y?
17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
18. 18.Solve: n/6 + n/2 = 8. What is n?
19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
20. 20.The sum of three consecutive whole numbers is 57. What is the largest of them?
21. 21.The sum of two consecutive whole numbers is 75. What is the smallest of them?
22. 22.Solve: 8m + 10 = 2m + 46. What is m?
23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
24. 24.A father is 18 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?
25. 25.The sum of two consecutive whole numbers is 109. What is the smallest of them?
26. 26.Solve: 3(t − 3) = 2t + 10. What is t?
27. 27.Solve: 3t + 2 = t + 20. What is t?
28. 28.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
29. 29.Solve: 5(y − 4) = y + 12. What is y?
30. 30.Solve: 8y + 11 = 3y + 86. What is y?
31. 31.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?
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
33. 33.Solve: x/3 + x/6 = 6. What is x?
34. 34.Solve: y/3 + y/2 = 40. What is y?
35. 35.The sum of four consecutive whole numbers is 218. What is the smallest of them?
36. 36.Solve: 7m + 16 = 2m + 71. What is m?
37. 37.The sum of two consecutive whole numbers is 73. What is the largest of them?
38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
39. 39.The sum of four consecutive whole numbers is 222. What is the largest of them?
40. 40.Solve: 4n + 5 = n + 11. What is n?

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