Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 93 · 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: 7y + 15 = y + 27. What is y?
2. 2.The sum of three consecutive whole numbers is 105. What is the largest of them?
3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
4. 4.Solve: 3(m − 2) = m + 8. What is m?
5. 5.Solve: 6(y − 2) = 3y + 9. What is y?
6. 6.Solve: 4(p − 3) = p + 6. What is p?
7. 7.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
8. 8.The sum of two consecutive whole numbers is 111. What is the largest of them?
9. 9.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?
10. 10.Solve: 7y + 15 = y + 57. What is y?
11. 11.The sum of two consecutive whole numbers is 31. What is the largest of them?
12. 12.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
13. 13.Solve: 5(n − 1) = n + 11. What is n?
14. 14.Solve: 6y + 2 = 5y + 3. What is y?
15. 15.Solve: x/2 + x/4 = 9. What is x?
16. 16.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
17. 17.The sum of three consecutive whole numbers is 45. What is the largest of them?
18. 18.Solve: 4(m − 3) = 3m + 9. What is m?
19. 19.The sum of four consecutive whole numbers is 30. What is the smallest of them?
20. 20.Solve: 4n + 5 = n + 20. What is n?
21. 21.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
22. 22.The sum of three consecutive whole numbers is 48. What is the largest of them?
23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
24. 24.Solve: 6t + 11 = 3t + 47. What is t?
25. 25.The sum of three consecutive whole numbers is 36. What is the smallest of them?
26. 26.Solve: 5(n − 3) = 2n + 39. What is n?
27. 27.The sum of four consecutive whole numbers is 174. What is the smallest of them?
28. 28.The sum of three consecutive whole numbers is 42. What is the largest of them?
29. 29.A father is 45 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?
30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
31. 31.The sum of four consecutive whole numbers is 146. What is the smallest of them?
32. 32.A father is 27 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?
33. 33.Solve: 4(p − 3) = p + 39. What is p?
34. 34.Solve: 6(t − 2) = 4t + 2. What is t?
35. 35.Solve: t/6 + t/2 = 28. What is t?
36. 36.Solve: 7y + 16 = y + 100. What is y?
37. 37.A father is 30 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?
38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
39. 39.Solve: p/3 + p/6 = 3. What is p?
40. 40.The sum of two consecutive whole numbers is 31. What is the smallest of them?

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