Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 341 · 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 length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
2. 2.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?
3. 3.Solve: 5(y − 1) = y + 43. What is y?
4. 4.A father is 22 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?
5. 5.The sum of two consecutive whole numbers is 121. What is the largest of them?
6. 6.The sum of four consecutive whole numbers is 234. What is the smallest of them?
7. 7.The sum of four consecutive whole numbers is 70. What is the largest of them?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
9. 9.Solve: 6(p − 3) = 3p + 21. What is p?
10. 10.Solve: y/4 + y/6 = 35. What is y?
11. 11.Solve: p/3 + p/5 = 56. What is p?
12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
13. 13.Solve: 3(m − 3) = m + 3. What is m?
14. 14.Solve: 4p + 6 = 3p + 11. What is p?
15. 15.The sum of two consecutive whole numbers is 11. What is the smallest of them?
16. 16.A father is 57 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?
17. 17.Solve: 8t + 15 = 2t + 57. What is t?
18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
20. 20.A father is 22 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?
21. 21.Solve: 8t + 8 = 2t + 20. What is t?
22. 22.The sum of two consecutive whole numbers is 19. What is the smallest of them?
23. 23.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
24. 24.Solve: 3(x − 4) = x + 8. What is x?
25. 25.Solve: 7t + 1 = t + 37. What is t?
26. 26.The sum of three consecutive whole numbers is 120. What is the smallest of them?
27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
28. 28.Solve: 3p + 8 = 2p + 11. What is p?
29. 29.Solve: x/3 + x/5 = 40. What is x?
30. 30.The sum of two consecutive whole numbers is 15. What is the largest of them?
31. 31.Solve: 6t + 5 = 5t + 20. What is t?
32. 32.Solve: 6(t − 2) = t + 18. What is t?
33. 33.Solve: x/3 + x/4 = 28. What is x?
34. 34.Solve: 9y + 1 = 8y + 3. What is y?
35. 35.Solve: 4p + 16 = 2p + 22. What is p?
36. 36.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
37. 37.Solve: 4n + 7 = 2n + 19. What is n?
38. 38.Solve: 4(t − 4) = t + 17. What is t?
39. 39.The sum of four consecutive whole numbers is 38. What is the smallest of them?
40. 40.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

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