Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 865 · 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(m − 3) = 2m + 10. What is m?
2. 2.The sum of four consecutive whole numbers is 78. What is the largest of them?
3. 3.Solve: 6(p − 1) = p + 34. What is p?
4. 4.Solve: 8x + 10 = 2x + 46. What is x?
5. 5.Solve: 8x + 1 = 5x + 10. What is x?
6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
7. 7.A father is 28 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?
8. 8.Solve: 6y + 7 = 5y + 10. What is y?
9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
10. 10.Solve: x/2 + x/4 = 6. What is x?
11. 11.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
12. 12.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
13. 13.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
14. 14.Solve: 6t + 8 = 4t + 22. What is t?
15. 15.Solve: 5p + 15 = 2p + 36. What is p?
16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
17. 17.Solve: 4(p − 4) = p + 2. What is p?
18. 18.Solve: 3(n − 4) = n + 20. What is n?
19. 19.A father is 30 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?
20. 20.The sum of three consecutive whole numbers is 33. What is the largest of them?
21. 21.Solve: x/5 + x/2 = 14. What is x?
22. 22.Solve: 9x + 1 = x + 105. What is x?
23. 23.The sum of three consecutive whole numbers is 66. What is the largest of them?
24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
25. 25.Solve: 5(p − 4) = p + 20. What is p?
26. 26.A father is 15 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?
27. 27.The sum of three consecutive whole numbers is 72. What is the largest of them?
28. 28.Solve: 6(y − 2) = 4y + 22. What is y?
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
31. 31.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
33. 33.Solve: x/2 + x/5 = 7. What is x?
34. 34.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
35. 35.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
36. 36.The sum of two consecutive whole numbers is 67. What is the largest of them?
37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
38. 38.Solve: 4y + 16 = 3y + 31. What is y?
39. 39.Solve: p/6 + p/5 = 77. What is p?
40. 40.Solve: 3(p − 3) = p + 19. What is p?

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