Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 827 · 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 170. What is the largest of them?
2. 2.A father is 28 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?
3. 3.The sum of four consecutive whole numbers is 242. What is the largest of them?
4. 4.Solve: y/4 + y/3 = 56. What is y?
5. 5.Solve: 5(x − 4) = x + 40. What is x?
6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
7. 7.Solve: 6(n − 2) = 3n + 18. What is n?
8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
10. 10.Solve: p/2 + p/3 = 10. What is p?
11. 11.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
12. 12.Solve: 3p + 11 = 2p + 15. What is p?
13. 13.Solve: 4p + 3 = 2p + 11. What is p?
14. 14.Solve: 7x + 14 = 6x + 24. What is x?
15. 15.Solve: 5(t − 4) = 2t + 16. What is t?
16. 16.The sum of four consecutive whole numbers is 198. What is the largest of them?
17. 17.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: 4p + 2 = 2p + 24. What is p?
19. 19.Solve: 3(m − 1) = m + 7. What is m?
20. 20.A father is 10 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?
21. 21.Solve: t/6 + t/5 = 11. What is t?
22. 22.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 7p + 16 = 4p + 28. What is p?
24. 24.The sum of three consecutive whole numbers is 147. What is the largest of them?
25. 25.Solve: p/6 + p/2 = 12. What is p?
26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
27. 27.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
28. 28.The sum of two consecutive whole numbers is 79. What is the smallest of them?
29. 29.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
30. 30.Solve: 5(x − 4) = 2x + 13. What is x?
31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
32. 32.Solve: x/3 + x/5 = 56. What is x?
33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
34. 34.Solve: n/2 + n/4 = 15. What is n?
35. 35.Solve: 4(m − 4) = m + 26. What is m?
36. 36.Solve: n/3 + n/2 = 35. What is n?
37. 37.The sum of three consecutive whole numbers is 66. What is the largest of them?
38. 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
39. 39.Solve: 7n + 13 = 6n + 16. What is n?
40. 40.Solve: 4(n − 1) = n + 26. What is n?

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