Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 718 · 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: 3m + 17 = 2m + 29. What is m?
2. 2.Solve: 5(n − 5) = n + 35. What is n?
3. 3.The sum of four consecutive whole numbers is 118. What is the smallest of them?
4. 4.Solve: y/2 + y/6 = 20. What is y?
5. 5.Solve: 5(x − 1) = 4x + 5. What is x?
6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
7. 7.Solve: 3(p − 3) = 2p + 8. What is p?
8. 8.Solve: 3(x − 4) = x + 16. What is x?
9. 9.The sum of three consecutive whole numbers is 93. What is the largest of them?
10. 10.The sum of two consecutive whole numbers is 31. What is the smallest of them?
11. 11.Solve: 5p + 12 = 3p + 16. What is p?
12. 12.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 6(n − 3) = n + 57. What is n?
14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
15. 15.Solve: m/5 + m/2 = 35. What is m?
16. 16.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 5(m − 1) = 4m + 4. What is m?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
20. 20.Solve: 6(x − 3) = 3x + 27. What is x?
21. 21.Solve: 7x + 6 = 2x + 56. What is x?
22. 22.The sum of two consecutive whole numbers is 27. What is the smallest of them?
23. 23.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
24. 24.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
25. 25.Solve: x/6 + x/2 = 12. What is x?
26. 26.Solve: 5m + 7 = 2m + 10. What is m?
27. 27.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
28. 28.The sum of two consecutive whole numbers is 35. What is the largest of them?
29. 29.The sum of two consecutive whole numbers is 13. What is the largest of them?
30. 30.The sum of four consecutive whole numbers is 102. What is the smallest of them?
31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
32. 32.A father is 16 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?
33. 33.The sum of two consecutive whole numbers is 21. What is the smallest of them?
34. 34.The sum of four consecutive whole numbers is 210. What is the smallest of them?
35. 35.Solve: 3(m − 1) = m + 19. What is m?
36. 36.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
37. 37.Solve: n/3 + n/5 = 56. What is n?
38. 38.A father is 8 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?
39. 39.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
40. 40.Solve: 8m + 6 = 6m + 36. What is m?

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