Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 856 · 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: 7p + 8 = p + 80. What is p?
2. 2.Solve: 7x + 19 = 5x + 27. What is x?
3. 3.Solve: x/5 + x/2 = 56. What is x?
4. 4.The sum of four consecutive whole numbers is 242. What is the smallest of them?
5. 5.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?
6. 6.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
7. 7.Solve: 3(m − 2) = m + 24. What is m?
8. 8.Solve: 3n + 1 = n + 31. What is n?
9. 9.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
10. 10.Solve: 4(m − 2) = 3m + 12. What is m?
11. 11.Solve: 6y + 8 = 4y + 12. What is y?
12. 12.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 6(p − 4) = 5p + 9. What is p?
14. 14.Solve: p/2 + p/6 = 8. What is p?
15. 15.Solve: p/4 + p/5 = 72. What is p?
16. 16.Solve: 4(n − 5) = 3n + 12. What is n?
17. 17.Solve: n/2 + n/3 = 30. What is n?
18. 18.Solve: 9y + 1 = 7y + 27. What is y?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
20. 20.Solve: 3(x − 1) = x + 19. What is x?
21. 21.Solve: n/5 + n/4 = 72. What is n?
22. 22.Solve: 3(n − 1) = 2n + 4. What is n?
23. 23.A father is 57 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
25. 25.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
26. 26.A father is 12 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?
27. 27.Solve: 6(p − 1) = 3p + 36. What is p?
28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
29. 29.Solve: 6(x − 4) = 2x + 36. What is x?
30. 30.Solve: 4(n − 1) = 3n + 3. What is n?
31. 31.The sum of two consecutive whole numbers is 63. What is the smallest of them?
32. 32.Solve: 6(y − 3) = 3y + 6. What is y?
33. 33.Solve: 5p + 7 = 2p + 28. What is p?
34. 34.A father is 36 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?
35. 35.Solve: 3n + 5 = 2n + 17. What is n?
36. 36.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?
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
39. 39.Solve: y/5 + y/2 = 56. What is y?
40. 40.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?

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