Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 246 · 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: 4x + 2 = 3x + 16. What is x?
2. 2.The sum of three consecutive whole numbers is 63. What is the largest of them?
3. 3.Solve: m/4 + m/3 = 7. What is m?
4. 4.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
5. 5.Solve: x/3 + x/4 = 7. What is x?
6. 6.A father is 32 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?
7. 7.The sum of four consecutive whole numbers is 42. What is the largest of them?
8. 8.Solve: 5y + 10 = 4y + 24. What is y?
9. 9.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
11. 11.A father is 11 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.Solve: t/5 + t/6 = 88. What is t?
13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
14. 14.Solve: 4(t − 4) = t + 32. What is t?
15. 15.Solve: 5(n − 5) = 4n + 7. What is n?
16. 16.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?
17. 17.Solve: 3(n − 4) = 2n + 7. What is n?
18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
19. 19.A father is 18 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?
20. 20.Solve: 8x + 12 = 2x + 30. What is x?
21. 21.The sum of four consecutive whole numbers is 150. What is the smallest of them?
22. 22.The sum of two consecutive whole numbers is 95. What is the smallest of them?
23. 23.Solve: 9p + 1 = 6p + 13. What is p?
24. 24.Solve: 8t + 3 = 4t + 23. What is t?
25. 25.A father is 26 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?
26. 26.Solve: 5y + 5 = y + 41. What is y?
27. 27.Solve: x/2 + x/4 = 21. What is x?
28. 28.Solve: 4(x − 1) = 2x + 26. What is x?
29. 29.Solve: 6(x − 3) = 3x + 24. What is x?
30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
31. 31.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
32. 32.The sum of four consecutive whole numbers is 110. What is the smallest of them?
33. 33.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
34. 34.Solve: 7m + 1 = 4m + 19. What is m?
35. 35.Solve: n/2 + n/4 = 21. What is n?
36. 36.Solve: y/2 + y/4 = 12. What is y?
37. 37.Solve: 3(t − 5) = 2t + 2. What is t?
38. 38.Solve: m/5 + m/6 = 22. What is m?
39. 39.Solve: y/5 + y/6 = 44. What is y?
40. 40.Solve: y/2 + y/6 = 20. What is y?

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