Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 738 · 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: t/3 + t/6 = 18. What is t?
2. 2.Solve: m/4 + m/3 = 56. What is m?
3. 3.The sum of two consecutive whole numbers is 19. What is the smallest of them?
4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
5. 5.The sum of four consecutive whole numbers is 46. What is the smallest of them?
6. 6.Solve: 5y + 15 = 2y + 57. What is y?
7. 7.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
8. 8.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
10. 10.Solve: 4y + 17 = y + 26. What is y?
11. 11.Solve: 5x + 6 = x + 46. What is x?
12. 12.The sum of four consecutive whole numbers is 222. What is the largest of them?
13. 13.Solve: 6(t − 5) = 4t + 24. What is t?
14. 14.The sum of two consecutive whole numbers is 107. What is the largest of them?
15. 15.Solve: 8p + 8 = 7p + 9. What is p?
16. 16.Solve: y/2 + y/4 = 21. What is y?
17. 17.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: m/4 + m/3 = 14. What is m?
19. 19.The sum of three consecutive whole numbers is 21. What is the smallest of them?
20. 20.A father is 33 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?
21. 21.Solve: 6(x − 4) = 4x + 24. What is x?
22. 22.A father is 12 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?
23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
24. 24.A father is 30 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?
25. 25.Solve: 4y + 2 = y + 5. What is y?
26. 26.Solve: 5(n − 5) = 4n + 6. What is n?
27. 27.The sum of two consecutive whole numbers is 53. What is the largest of them?
28. 28.Solve: 3(m − 1) = 2m + 2. What is m?
29. 29.A father is 42 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?
30. 30.The sum of four consecutive whole numbers is 226. What is the smallest of them?
31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
33. 33.Solve: 5(t − 4) = 4t + 10. What is t?
34. 34.Solve: 8y + 3 = 2y + 33. What is y?
35. 35.A father is 28 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?
36. 36.The sum of two consecutive whole numbers is 35. What is the largest of them?
37. 37.Solve: 4x + 12 = 3x + 22. What is x?
38. 38.Solve: 6(y − 5) = 5y + 10. What is y?
39. 39.Solve: y/3 + y/6 = 9. What is y?
40. 40.Solve: 3(t − 3) = t + 3. What is t?

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