Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 380 · 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 four consecutive whole numbers is 210. What is the smallest of them?
2. 2.The sum of four consecutive whole numbers is 38. What is the largest of them?
3. 3.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
4. 4.The sum of four consecutive whole numbers is 118. What is the smallest of them?
5. 5.Solve: 8n + 18 = n + 46. What is n?
6. 6.Solve: 6(x − 3) = 4x + 12. What is x?
7. 7.Solve: x/6 + x/2 = 32. What is x?
8. 8.Solve: 8y + 6 = 4y + 18. What is y?
9. 9.Solve: x/2 + x/3 = 5. What is x?
10. 10.Solve: 3y + 3 = y + 13. What is y?
11. 11.A father is 26 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?
12. 12.The sum of four consecutive whole numbers is 86. What is the largest of them?
13. 13.The sum of three consecutive whole numbers is 87. What is the smallest of them?
14. 14.The sum of three consecutive whole numbers is 132. What is the largest of them?
15. 15.Solve: 9x + 12 = 7x + 20. What is x?
16. 16.Solve: 3n + 5 = 2n + 14. What is n?
17. 17.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
19. 19.The sum of four consecutive whole numbers is 138. What is the smallest of them?
20. 20.Solve: t/5 + t/2 = 35. What is t?
21. 21.Solve: 5x + 15 = 4x + 22. What is x?
22. 22.The sum of four consecutive whole numbers is 234. What is the smallest of them?
23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
24. 24.A father is 34 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?
25. 25.Solve: 5(m − 5) = 3m + 11. What is m?
26. 26.Solve: x/2 + x/5 = 56. What is x?
27. 27.Solve: 3(x − 3) = x + 15. What is x?
28. 28.Solve: m/2 + m/3 = 30. What is m?
29. 29.Solve: 6(p − 5) = p + 65. What is p?
30. 30.Solve: y/3 + y/2 = 30. What is y?
31. 31.The sum of three consecutive whole numbers is 153. What is the largest of them?
32. 32.Solve: 3x + 13 = x + 21. What is x?
33. 33.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
34. 34.Solve: 4m + 12 = m + 36. What is m?
35. 35.The sum of two consecutive whole numbers is 27. What is the smallest of them?
36. 36.Solve: 3(n − 4) = 2n + 1. What is n?
37. 37.The length of a rectangle is 7 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
38. 38.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
39. 39.The sum of three consecutive whole numbers is 75. What is the smallest of them?
40. 40.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?

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