Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 484 · 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.The sum of four consecutive whole numbers is 66. What is the largest of them?
2. 2.The sum of two consecutive whole numbers is 27. What is the smallest of them?
3. 3.Solve: 3(n − 1) = n + 1. What is n?
4. 4.Solve: 4(y − 1) = y + 5. What is y?
5. 5.A father is 26 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?
6. 6.Solve: 5y + 20 = y + 80. What is y?
7. 7.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
8. 8.Solve: 5(t − 1) = 4t + 6. What is t?
9. 9.The sum of four consecutive whole numbers is 198. What is the smallest of them?
10. 10.Solve: 5(x − 1) = 3x + 15. What is x?
11. 11.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
12. 12.Solve: 5t + 7 = t + 23. What is t?
13. 13.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
14. 14.Solve: y/2 + y/4 = 12. What is y?
15. 15.The sum of two consecutive whole numbers is 57. What is the smallest of them?
16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
17. 17.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?
18. 18.Solve: t/4 + t/3 = 28. What is t?
19. 19.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
20. 20.Solve: n/3 + n/5 = 48. What is n?
21. 21.Solve: 4(t − 3) = 3t + 4. What is t?
22. 22.Solve: t/6 + t/4 = 15. What is t?
23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
25. 25.Solve: 5(x − 2) = 3x + 18. What is x?
26. 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
28. 28.A father is 39 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?
29. 29.Solve: 6y + 2 = 2y + 22. What is y?
30. 30.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
31. 31.Solve: 4(p − 1) = 3p + 7. What is p?
32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
34. 34.Solve: 6(m − 4) = 4m + 14. What is m?
35. 35.Solve: m/3 + m/5 = 48. What is m?
36. 36.The sum of two consecutive whole numbers is 43. What is the smallest of them?
37. 37.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
38. 38.Solve: x/5 + x/3 = 40. What is x?
39. 39.Solve: 4(n − 3) = 3n + 3. What is n?
40. 40.The sum of two consecutive whole numbers is 79. What is the largest of them?

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