Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 241 · 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.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
2. 2.Solve: 5(x − 5) = 3x + 5. What is x?
3. 3.The sum of two consecutive whole numbers is 117. What is the largest of them?
4. 4.Solve: 5y + 3 = y + 47. What is y?
5. 5.Solve: 3(n − 3) = n + 15. What is n?
6. 6.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
7. 7.A father is 33 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?
8. 8.Solve: 4(n − 1) = n + 38. What is n?
9. 9.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
10. 10.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?
11. 11.Solve: m/2 + m/6 = 32. What is m?
12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
13. 13.Solve: 5(m − 5) = m + 39. What is m?
14. 14.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: 6(m − 4) = 4m + 12. What is m?
16. 16.Solve: 4(t − 4) = t + 23. What is t?
17. 17.The sum of three consecutive whole numbers is 45. What is the largest of them?
18. 18.Solve: 4t + 15 = t + 21. What is t?
19. 19.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
20. 20.The sum of two consecutive whole numbers is 15. What is the smallest of them?
21. 21.Solve: 5(p − 5) = 3p + 11. What is p?
22. 22.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
23. 23.Solve: 9n + 7 = 4n + 42. What is n?
24. 24.Solve: 9t + 17 = 4t + 32. What is t?
25. 25.The sum of three consecutive whole numbers is 156. What is the largest of them?
26. 26.Solve: 5(x − 4) = 2x + 31. What is x?
27. 27.Solve: 4(n − 2) = 3n + 6. What is n?
28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
29. 29.A father is 24 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?
30. 30.Solve: 4x + 6 = x + 45. What is x?
31. 31.A father is 24 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?
32. 32.Solve: 4(x − 4) = 3x + 12. What is x?
33. 33.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
34. 34.Solve: n/4 + n/3 = 42. What is n?
35. 35.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?
36. 36.Solve: 6(m − 5) = 5m + 4. What is m?
37. 37.The sum of four consecutive whole numbers is 190. What is the smallest of them?
38. 38.Solve: 6m + 11 = 4m + 33. What is m?
39. 39.Solve: t/3 + t/5 = 56. What is t?
40. 40.Solve: y/3 + y/2 = 5. What is y?

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