Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 792 · 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 110. What is the largest of them?
2. 2.Solve: 7n + 11 = 2n + 41. What is n?
3. 3.Solve: 6(y − 5) = 3y + 15. What is y?
4. 4.Solve: 4x + 12 = x + 36. What is x?
5. 5.A father is 33 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?
6. 6.A father is 6 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?
7. 7.Solve: t/3 + t/6 = 15. What is t?
8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
9. 9.The sum of four consecutive whole numbers is 38. What is the largest of them?
10. 10.Solve: 7m + 14 = 4m + 32. What is m?
11. 11.Solve: 4(x − 1) = x + 29. What is x?
12. 12.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
13. 13.Solve: t/4 + t/2 = 9. What is t?
14. 14.Solve: m/4 + m/2 = 18. What is m?
15. 15.Solve: 5t + 6 = t + 62. What is t?
16. 16.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
18. 18.A father is 42 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?
19. 19.Solve: t/4 + t/6 = 10. What is t?
20. 20.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?
21. 21.Solve: 3(y − 2) = y + 20. What is y?
22. 22.Solve: m/5 + m/6 = 77. What is m?
23. 23.Solve: 8y + 6 = 3y + 31. What is y?
24. 24.Solve: m/3 + m/4 = 35. What is m?
25. 25.The sum of two consecutive whole numbers is 31. What is the smallest of them?
26. 26.Solve: 7n + 14 = 5n + 30. What is n?
27. 27.A father is 38 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?
28. 28.Solve: 4(m − 3) = 2m + 26. What is m?
29. 29.Solve: 5m + 8 = m + 32. What is m?
30. 30.The sum of two consecutive whole numbers is 51. What is the largest of them?
31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
32. 32.Solve: 4(y − 3) = y + 36. What is y?
33. 33.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
34. 34.Solve: 4(y − 5) = 3y + 5. What is y?
35. 35.A father is 45 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?
36. 36.Solve: y/3 + y/6 = 3. What is y?
37. 37.The length of a rectangle is 7 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
38. 38.Solve: 4(y − 2) = y + 7. What is y?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
40. 40.Solve: 4t + 19 = 3t + 32. What is t?

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