Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 657 · 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: n/6 + n/2 = 4. What is n?
2. 2.Solve: 6(t − 5) = 2t + 22. What is t?
3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
5. 5.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
6. 6.Solve: 6(p − 5) = 3p + 18. What is p?
7. 7.Solve: x/4 + x/2 = 24. What is x?
8. 8.Solve: 4(m − 4) = m + 35. What is m?
9. 9.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
10. 10.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
11. 11.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?
12. 12.Solve: 4x + 8 = 3x + 13. What is x?
13. 13.Solve: x/5 + x/4 = 9. What is x?
14. 14.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
15. 15.Solve: 3y + 4 = y + 8. What is y?
16. 16.Solve: 6(t − 5) = 3t + 9. What is t?
17. 17.Solve: 3m + 19 = 2m + 29. What is m?
18. 18.Solve: 6(t − 2) = 4t + 6. What is t?
19. 19.Solve: 3(n − 5) = n + 1. What is n?
20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
21. 21.Solve: p/6 + p/3 = 9. What is p?
22. 22.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
23. 23.A father is 28 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
24. 24.Solve: m/2 + m/5 = 42. What is m?
25. 25.Solve: 5(n − 3) = 3n + 9. What is n?
26. 26.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
27. 27.Solve: m/4 + m/6 = 25. What is m?
28. 28.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
29. 29.The sum of three consecutive whole numbers is 138. What is the smallest of them?
30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
31. 31.Solve: 7y + 10 = 2y + 80. What is y?
32. 32.Solve: 4(n − 5) = n + 16. What is n?
33. 33.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?
34. 34.A father is 22 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
35. 35.Solve: 5n + 9 = n + 49. What is n?
36. 36.Solve: 4(p − 4) = 2p + 16. What is p?
37. 37.Solve: p/2 + p/4 = 12. What is p?
38. 38.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?
39. 39.Solve: 4(x − 3) = x + 9. What is x?
40. 40.Solve: 6(y − 5) = 2y + 18. What is y?

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