Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 478 · 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 91. What is the smallest of them?
2. 2.Solve: 3(y − 1) = y + 23. What is y?
3. 3.The length of a rectangle is 10 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
4. 4.A father is 10 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?
5. 5.Solve: 3(p − 3) = 2p + 7. What is p?
6. 6.Solve: 4(y − 1) = y + 8. What is y?
7. 7.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
8. 8.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
9. 9.Solve: 9x + 19 = x + 51. What is x?
10. 10.Solve: 8t + 3 = 4t + 23. What is t?
11. 11.Solve: 5(x − 4) = x + 36. What is x?
12. 12.Solve: 5p + 15 = 4p + 19. What is p?
13. 13.Solve: 6(y − 5) = 3y + 39. What is y?
14. 14.Solve: 6p + 13 = 4p + 17. What is p?
15. 15.Solve: p/3 + p/5 = 8. What is p?
16. 16.Solve: 3(n − 1) = 2n + 1. What is n?
17. 17.The sum of four consecutive whole numbers is 178. What is the largest of them?
18. 18.The sum of four consecutive whole numbers is 162. What is the largest of them?
19. 19.Solve: 5(n − 1) = 2n + 28. What is n?
20. 20.The sum of four consecutive whole numbers is 174. What is the largest of them?
21. 21.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
22. 22.Solve: n/3 + n/4 = 42. What is n?
23. 23.The sum of four consecutive whole numbers is 198. What is the smallest of them?
24. 24.A father is 42 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?
25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
27. 27.The sum of four consecutive whole numbers is 186. What is the largest of them?
28. 28.The sum of three consecutive whole numbers is 36. What is the smallest of them?
29. 29.Solve: 7n + 20 = n + 98. What is n?
30. 30.The sum of three consecutive whole numbers is 174. What is the smallest of them?
31. 31.Solve: 9x + 16 = 4x + 81. What is x?
32. 32.Solve: 5x + 13 = x + 37. What is x?
33. 33.A father is 32 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?
34. 34.Solve: y/6 + y/5 = 88. What is y?
35. 35.Solve: 7p + 19 = 5p + 43. What is p?
36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
37. 37.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: t/4 + t/3 = 14. What is t?
39. 39.Solve: 4(n − 2) = n + 16. What is n?
40. 40.The sum of three consecutive whole numbers is 51. What is the largest of them?

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