Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 1 · 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 sum of two consecutive whole numbers is 99. What is the largest of them?
2. 2.Solve: 4n + 18 = n + 36. What is n?
3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
4. 4.Solve: n/6 + n/2 = 16. What is n?
5. 5.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: 4(t − 3) = 3t + 13. What is t?
7. 7.Solve: x/6 + x/5 = 44. What is x?
8. 8.Solve: y/6 + y/2 = 20. What is y?
9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
10. 10.Solve: 6x + 13 = x + 33. What is x?
11. 11.Solve: x/2 + x/3 = 30. What is x?
12. 12.Solve: 4(p − 1) = 2p + 18. What is p?
13. 13.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
14. 14.Solve: 3(m − 4) = 2m + 2. What is m?
15. 15.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
16. 16.The sum of two consecutive whole numbers is 103. What is the largest of them?
17. 17.The sum of three consecutive whole numbers is 123. What is the largest of them?
18. 18.A father is 6 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?
19. 19.Solve: 3(n − 1) = n + 23. What is n?
20. 20.Solve: 6x + 20 = 4x + 36. What is x?
21. 21.The sum of four consecutive whole numbers is 154. What is the smallest of them?
22. 22.The sum of three consecutive whole numbers is 168. What is the largest of them?
23. 23.The sum of three consecutive whole numbers is 135. What is the largest of them?
24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
25. 25.Solve: n/4 + n/6 = 35. What is n?
26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
27. 27.Solve: p/2 + p/5 = 7. What is p?
28. 28.Solve: 6(y − 1) = y + 44. What is y?
29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
30. 30.The sum of two consecutive whole numbers is 63. What is the largest of them?
31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
32. 32.Solve: 6(n − 2) = 4n + 10. What is n?
33. 33.Solve: 7y + 9 = y + 21. What is y?
34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
35. 35.The sum of three consecutive whole numbers is 78. What is the largest of them?
36. 36.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
37. 37.Solve: t/3 + t/6 = 15. What is t?
38. 38.Solve: 6x + 7 = 2x + 43. What is x?
39. 39.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
40. 40.Solve: 5x + 16 = 4x + 26. What is x?

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