Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 756 · 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: 5(p − 3) = p + 33. What is p?
2. 2.Solve: 3(x − 3) = 2x + 7. What is x?
3. 3.Solve: 8n + 8 = 3n + 33. What is n?
4. 4.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
5. 5.The sum of two consecutive whole numbers is 73. What is the smallest of them?
6. 6.Solve: 6(n − 1) = 5n + 1. What is n?
7. 7.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
8. 8.Solve: p/4 + p/5 = 27. What is p?
9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
10. 10.A father is 12 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?
11. 11.The sum of two consecutive whole numbers is 37. What is the largest of them?
12. 12.Solve: 3m + 19 = m + 21. What is m?
13. 13.Solve: 3(n − 2) = n + 8. What is n?
14. 14.A father is 15 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?
15. 15.The sum of two consecutive whole numbers is 69. What is the smallest of them?
16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
18. 18.Solve: n/5 + n/3 = 24. What is n?
19. 19.Solve: 5y + 17 = 2y + 26. What is y?
20. 20.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?
21. 21.Solve: p/4 + p/6 = 10. What is p?
22. 22.Solve: 5p + 7 = 4p + 13. What is p?
23. 23.Solve: m/4 + m/6 = 20. What is m?
24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
25. 25.Solve: 4p + 20 = p + 65. What is p?
26. 26.Solve: 3p + 9 = 2p + 14. What is p?
27. 27.The sum of three consecutive whole numbers is 93. What is the smallest of them?
28. 28.Solve: 3(n − 4) = n + 2. What is n?
29. 29.Solve: m/3 + m/6 = 6. What is m?
30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
33. 33.Solve: x/6 + x/3 = 18. What is x?
34. 34.Solve: 3(x − 4) = 2x + 13. What is x?
35. 35.A father is 36 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?
36. 36.The sum of two consecutive whole numbers is 93. What is the smallest of them?
37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
38. 38.The sum of four consecutive whole numbers is 58. What is the largest of them?
39. 39.Solve: 5(m − 1) = 2m + 7. What is m?
40. 40.A father is 27 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?

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