Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 133 · 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: 3(y − 4) = 2y + 11. What is y?
2. 2.The sum of two consecutive whole numbers is 33. What is the smallest of them?
3. 3.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
4. 4.A father is 27 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
5. 5.Solve: 5n + 19 = n + 39. What is n?
6. 6.A father is 54 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?
7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
8. 8.Solve: 6(m − 5) = 4m + 12. What is m?
9. 9.A father is 33 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?
10. 10.The sum of three consecutive whole numbers is 75. What is the smallest of them?
11. 11.Solve: 4t + 20 = 3t + 30. What is t?
12. 12.The sum of four consecutive whole numbers is 142. What is the smallest of them?
13. 13.Solve: 8x + 1 = 6x + 13. What is x?
14. 14.Solve: p/2 + p/6 = 8. What is p?
15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
16. 16.A father is 33 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?
17. 17.Solve: 3n + 1 = 2n + 13. What is n?
18. 18.Solve: 5(n − 1) = 2n + 1. What is n?
19. 19.The sum of two consecutive whole numbers is 37. What is the smallest of them?
20. 20.Solve: 3y + 1 = y + 23. What is y?
21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
22. 22.Solve: 4t + 1 = t + 40. What is t?
23. 23.The sum of three consecutive whole numbers is 66. What is the smallest of them?
24. 24.Solve: 6(p − 2) = 5p + 4. What is p?
25. 25.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?
26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
27. 27.Solve: 5(p − 1) = p + 51. What is p?
28. 28.The sum of three consecutive whole numbers is 24. What is the smallest of them?
29. 29.Solve: 9t + 7 = t + 79. What is t?
30. 30.Solve: 6n + 9 = n + 44. What is n?
31. 31.A father is 24 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?
32. 32.Solve: 3(m − 4) = 2m + 5. What is m?
33. 33.Solve: y/6 + y/2 = 28. What is y?
34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
35. 35.Solve: p/2 + p/3 = 15. What is p?
36. 36.A father is 26 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?
37. 37.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?
38. 38.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
39. 39.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
40. 40.Solve: 5p + 7 = 3p + 35. What is p?

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