Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 929 · 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: 4(n − 1) = n + 29. What is n?
2. 2.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
3. 3.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
4. 4.A father is 36 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
5. 5.A father is 30 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?
6. 6.Solve: 4m + 19 = m + 55. What is m?
7. 7.Solve: 3(m − 2) = m + 26. What is m?
8. 8.Solve: 4p + 12 = p + 45. What is p?
9. 9.Solve: 7t + 11 = 2t + 81. What is t?
10. 10.Solve: y/6 + y/5 = 55. What is y?
11. 11.Solve: 4t + 17 = 2t + 25. What is t?
12. 12.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
13. 13.Solve: 6x + 10 = 3x + 25. What is x?
14. 14.Solve: 6x + 7 = 2x + 23. What is x?
15. 15.Solve: 8y + 16 = 4y + 28. What is y?
16. 16.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: t/5 + t/6 = 11. What is t?
18. 18.Solve: 8y + 2 = 4y + 62. What is y?
19. 19.A father is 26 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.The sum of four consecutive whole numbers is 178. What is the smallest of them?
21. 21.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
22. 22.Solve: 5p + 1 = 3p + 15. What is p?
23. 23.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
24. 24.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?
25. 25.Solve: 6x + 14 = 2x + 30. What is x?
26. 26.Solve: 5(x − 3) = 2x + 3. What is x?
27. 27.Solve: 6(n − 3) = 2n + 2. What is n?
28. 28.Solve: n/4 + n/3 = 14. What is n?
29. 29.A father is 11 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.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
31. 31.Solve: 7t + 19 = 2t + 84. What is t?
32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
33. 33.The sum of two consecutive whole numbers is 99. What is the smallest of them?
34. 34.The sum of three consecutive whole numbers is 144. What is the smallest of them?
35. 35.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
36. 36.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
37. 37.Solve: 7x + 4 = x + 52. What is x?
38. 38.Solve: 8x + 5 = 7x + 16. What is x?
39. 39.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
40. 40.Solve: x/4 + x/5 = 72. What is x?

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