Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 832 · 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: 3(p − 4) = p + 6. What is p?
2. 2.Solve: p/2 + p/6 = 8. What is p?
3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
4. 4.Solve: 4p + 18 = 3p + 19. What is p?
5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
6. 6.Solve: 6m + 3 = 3m + 15. What is m?
7. 7.Solve: 5n + 5 = 4n + 20. What is n?
8. 8.Solve: 4(n − 1) = 3n + 3. What is n?
9. 9.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
10. 10.Solve: t/4 + t/2 = 3. What is t?
11. 11.Solve: 6(m − 5) = m + 25. What is m?
12. 12.Solve: 9m + 15 = 7m + 19. What is m?
13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
14. 14.The sum of four consecutive whole numbers is 90. What is the largest of them?
15. 15.The sum of two consecutive whole numbers is 77. What is the smallest of them?
16. 16.A father is 22 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?
17. 17.Solve: 3p + 2 = 2p + 10. What is p?
18. 18.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
19. 19.The sum of four consecutive whole numbers is 110. What is the smallest of them?
20. 20.Solve: 5m + 15 = 2m + 48. What is m?
21. 21.Solve: y/4 + y/6 = 35. What is y?
22. 22.The sum of four consecutive whole numbers is 74. What is the smallest of them?
23. 23.Solve: 4y + 1 = y + 25. What is y?
24. 24.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
26. 26.Solve: 3t + 7 = t + 35. What is t?
27. 27.Solve: 5(y − 4) = 3y + 2. What is y?
28. 28.Solve: p/6 + p/5 = 22. What is p?
29. 29.Solve: 3(n − 2) = n + 22. What is n?
30. 30.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
32. 32.The sum of two consecutive whole numbers is 101. What is the smallest of them?
33. 33.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
34. 34.A father is 30 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?
35. 35.Solve: 3p + 7 = 2p + 17. What is p?
36. 36.Solve: 5(t − 3) = 4t + 9. What is t?
37. 37.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
39. 39.The sum of two consecutive whole numbers is 79. What is the largest of them?
40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?

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