Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 474 · 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 three consecutive whole numbers is 21. What is the smallest of them?
2. 2.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
3. 3.The sum of three consecutive whole numbers is 135. What is the smallest of them?
4. 4.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
5. 5.The sum of four consecutive whole numbers is 134. What is the smallest of them?
6. 6.The sum of four consecutive whole numbers is 146. What is the largest of them?
7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
8. 8.Solve: 3t + 5 = 2t + 17. What is t?
9. 9.Solve: 4p + 17 = 3p + 21. What is p?
10. 10.Solve: 7m + 19 = m + 67. What is m?
11. 11.Solve: 6(x − 2) = 3x + 15. What is x?
12. 12.The sum of three consecutive whole numbers is 54. What is the largest of them?
13. 13.A father is 32 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?
14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
15. 15.A father is 18 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?
16. 16.Solve: t/2 + t/4 = 3. What is t?
17. 17.Solve: 6(n − 1) = 3n + 36. What is n?
18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
19. 19.The sum of four consecutive whole numbers is 222. What is the smallest of them?
20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
21. 21.A father is 30 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.Solve: 3(n − 3) = n + 9. What is n?
23. 23.The sum of four consecutive whole numbers is 34. What is the smallest of them?
24. 24.Solve: 8t + 7 = 4t + 23. What is t?
25. 25.Solve: p/4 + p/2 = 21. What is p?
26. 26.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
28. 28.The sum of two consecutive whole numbers is 105. What is the largest of them?
29. 29.Solve: 6(x − 1) = x + 59. What is x?
30. 30.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
31. 31.Solve: 9t + 10 = 2t + 52. What is t?
32. 32.Solve: 4(m − 1) = 3m + 5. What is m?
33. 33.The sum of three consecutive whole numbers is 144. What is the largest of them?
34. 34.Solve: 9x + 1 = 6x + 25. What is x?
35. 35.Solve: 5(y − 3) = y + 13. What is y?
36. 36.Solve: 6(m − 1) = 4m + 6. What is m?
37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
38. 38.The sum of three consecutive whole numbers is 102. What is the largest of them?
39. 39.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
40. 40.Solve: 6(p − 3) = 4p + 6. What is p?

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